Method and apparatus for ink-jet printing

Abstract: An ink jet printing method for performing printing onto a printing medium (106) with the use of both of a colored ink ejected from an ink jet head (702) and a printing property improving liquid to be applied to the printing medium (106) for improving a printing property for an ink jet printing apparatus, having the steps of: at least one time or more printing a first colored ink on the printing medium (106), at least one time or more applying the printing property improving liquid onto a region printed with the colored ink, and at least one time or more printing a second colored ink on a region where the printing property improving liquid is applied.

Description: The present invention relates generally to an ink-jet printing method and an apparatus therefor, which can obtain a high quality printed image on a printing medium, and more particularly to an ink-jet printing method and an apparatus therefor, in which a printing ink and a printing property improving liquid coagulating a coloring agent of the printing ink or making the coloring agent insoluble, are ejected on a printing medium. The present invention is applicable to all devices or apparatus employing paper, cloth, nonwoven fabric, OHP sheet, and so forth, and even a metal as a printing medium. Concretely, the present invention is applicable to office appliances, such as printers, copy machines, facsimile machines and so forth, industrial production machines or so forth. Ink-jet printing systems have the advantages of low noise, low running cost, ease of down-sizing and providing color printing capability for the apparatus, and so forth, and have been widely used in printers, copy machines and so forth. However, when an image is printed on a printing medium, such as a plain paper and so forth, it is possible that the water resistance of the printed image is insufficient. Also, in case of printing of a color image, it is somewhat difficult to achieve both a high density image which does not cause feathering and an image which does not cause bleeding between adjacent colors. Therefore, it is often impossible to obtain a high quality color image with high image fastness. As a method to improve water resistance of the image, an ink containing color agent which is provided with a water resistive property has been put into practical use. However, water resistance of the image is still insufficient in many cases. In principle, the ink containing water resistive coloring agent is an ink which is difficult to dissolve in water once dried. Therefore, such ink can easily cause plugging of ink-ejection openings in an ink-jet head. Also, construction of the apparatus for preventing plugging of ink can be complicated. On the other hand, in the prior art, there are a large number of technologies for improving fastness of the medium to be printed. For example, in Japanese Patent Application Laid-open No. 24486/1978, there is disclosed a technology for fixing by laking dye through post-treatment of the dye product. Japanese Patent Application Laid-open No. 43733/1979 discloses a method for performing printing employing two or more components which may enhance film forming performance by mutually contacting at normal temperature or upon heating, utilizing an ink-jet printing system. By this, mutually contacting of respective components on the printing medium may form a printing product with a film firmly fixed on the printing medium. Also, in Japanese Patent Application Laid-open No. 150396/1980, a method for applying water-resistance agent forming a lake with a dye after printing with a water soluble ink by an ink-jet system is disclosed. In Japanese Patent Application Laid-open No. 128862/1983, an ink-jet printing method for printing a printing ink and printing property improving liquid in overlapping manner with preliminarily identifying of the position of the image to be printed. In the disclosed method, the image is printed with the printing property improving liquid in advance of printing by the printing ink, or the printing property improving liquid is applied in overlapping manner on the printing ink printed in advance, or the ink is applied in overlapping manner on the printing property improving liquid in advance, and then the printing property improving liquid is applied over the printing ink in overlapping manner. It has been known that separately applying .the printing ink and a printing property improving liquid is effective for improving light-resistance, water-resistance, image density and chroma. However, the above-mentioned publications are silent about printing modes for enhancing quality of the printed image and so forth. Application of the printing ink and the printing property improving liquid as disclosed in Japanese Patent Application Laid-open No. 128862/1983 may cause different natures of respective printing pixels for different orders of ejection. Spreading of the printing ink and the printing property improving liquid are diagrammatically illustrated in Figs. 1A and 1B. Fig. 1A shows the case where the printing property improving liquid is ejected in advance of the printing ink. In this case, the coloring agent in the printing ink, such as dye and so forth, stays relatively close to the surface in the depth direction to enhance the color development ability of the printing ink. The dot shape is considered to be circular, with less feathering. On the other hand, when the printing ink hits the printing medium, reaction with the printing property improving liquid to cause coagulation is started. Therefore, the component of the coloring agent in the printing ink may not penetrate into the printing medium and thus tends to make the dot size smaller. Fig. 1B shows the case where the printing property improving liquid is ejected on the printing ink which is ejected in advance, in contrast to the case of Fig. 1A. When the printing ink is ejected in advance, higher water-resistance can be attained in comparison with the case where the printing property improving liquid is not applied. However, since the printing ink penetrates in the depth direction of the printing medium, the color development ability of the printing ink cannot be improved. Furthermore, if the order of ejection of the printing ink and the printing property improving liquid is changed, hue can differ. It is considered that, even with the equal amount of printing ink, different manners of coagulating the ink cause differences of hue. As set forth above, depending upon the order of ejection of the printing ink and the printing property improving liquid, the image to be formed can be different. Also, color development, hue and dot configuration may be different depending upon the position in the depth direction of the printing medium where mixing of the printing ink and the printing property improving liquid is caused. Such a condition is caused when time intervals from hitting of the printing property improving liquid on the printing medium to hitting of the printing ink are different between the pixels. This also influences the formed image significantly. The following is a discussion of the influence of these characteristics for the image in the conventional ink-jet printing system. 1) When printing is performed by a printing method to form an image with the printing property improving liquid in advance of that with the printing ink as disclosed in Japanese Patent Application Laid-open No. 128862/1983, or a printing method to print the image with the printing ink overlapping the image printed with the printing property improving liquid, and then again printing the printing property improving liquid on the image of the printing ink, the dot diameter can become smaller than that when not employing the printing property improving liquid. When both a printing mode employing the printing property improving liquid and a printing mode not employing the printing property improving liquid are used with the conventional ejection amount designed adapted not to employ the printing property improving liquid, an image can be formed in which lines becomes visually perceptible. 2) In case of conventional monochrome printing, such as that with Bk ink and so forth, reciprocal printing has been performed for high speed printing. In the printing where a printing property improving liquid ejecting head and a printing ink ejecting head are simply arranged in alignment in the reciprocating direction, the orders of ejection of the printing ink and the printing property improving liquid are different in the forward direction and reverse direction, so band fluctuation (color fluctuation, density fluctuation, line fluctuation) in the width of the head width, which is not caused conventionally, can be caused. 3) Figs. 2A, 2B and 2C show the case of ideal head. A reference numeral 1 denotes a head, 2 denotes an ejection nozzle, 3 denotes an ejected ink droplet. Fig. 2A shows a manner to eject the ink droplet from the head. Fig. 2B shows the behavior of the dot formed on the printing medium. Fig. 2C shows the distribution of ejection density of the ink in the printing medium. In the practical head, due to tolerance in forming the nozzle, nozzle distribution (ejection amount distribution, ejecting direction) can be caused. Therefore, the density of the printing ink on the printing medium can fluctuate to to form the density fluctuation line on the printed image. Also, a similar density difference of the printing property improving liquid on the printing medium can be caused in application of the printing property improving liquid. Thus reaction amount of the printing ink may be different. per ink to cause density difference, color difference and line. 4) In a head unit, in which conventional heads for respective colors are combined, it is difficult to precisely match the registration position between respective heads in the positioning method between the heads (different depending upon the head and main body construction) due to tolerance in production and other reasons. Therefore, in a range not influencing the image, a certain magnitude of offset has been permitted. In the case of offset of the registration between respective heads of the printing property improving liquid and the printing ink, when the order of ejection of the printing ink and the printing property improving liquid and/or ejection interval is different, density fluctuation, color fluctuation or line can be caused on the image. 5) In the printing method to print the printing property improving liquid and the printing ink in overlapping manner as disclosed in Japanese Patent Application Laid-open No. 128862/1983, little improvement of color development and little improvement of feathering of the dot configuration can be observed. WO 87/03363 discloses a method and apparatus for reducing the optical density of ejected ink dots to improve the uniformity of grey scale image regions. The reduction in optical density is achieved by ejecting undyed droplets of liquid on top of droplets of ink so that the ink is dispersed by the undyed liquid, thereby reducing the optical density of the ink dots. US 4,538,160 discloses a method and apparatus for applying a processing liquid either before, after, or both before and after, the application of ink to a printing medium. The processing liquid may include a water-proof resin for improving the water resistance of the printed image and, optionally, may include an ultraviolet stabiliser for improving the light resistance of the printed image. The present invention has been worked out in view of the problems set forth above. Therefore, it is an object of the present invention to provide a printing method in consideration of problems caused by differences in the order of ejection and differences of ejection interval. According to a first aspect of the present invention, there is provided an ink jet printing method for printing onto a printing medium using an ink discharge portion for discharging ink and using a liquid discharge portion for discharging liquid containing a printing property improving liquid for improving a printing property, comprising the steps of: discharging ink at least once onto the printing medium; and discharging liquid at least once onto the printing medium so that the liquid at least partially overlaps the discharged ink; characterised in that the method comprises a further step of discharging ink at least once onto the printing medium so that the ink at least partially overlaps that discharged liquid which overlaps the previously discharged ink. According to a second aspect of the invention, there is provided an ink jet printing apparatus for printing onto a printing medium using an ink discharge portion for discharging ink and a liquid discharge portion for discharging liquid containing a printing property improving liquid for improving a printing property, said apparatus comprising means for causing discharge of ink and discharge of liquid, wherein the causing means is operable to cause: discharge of ink onto the printing medium at least once; and discharge of liquid onto the printing medium at least once so that the liquid at least partially overlaps the discharged ink; characterised in that the causing means is arranged to cause further discharge of ink onto the printing medium at least once so that the ink at least partially overlaps that discharged liquid which overlaps the previously discharged ink. According to a third aspect of the invention, there is provided an ink jet printed article formed by performing an ink jet printing method in accordance with the method of the first aspect, wherein the printed article comprises regions formed by an ink-liquid-ink deposition structure of the ink and liquid. An embodiment of the present invention provides an ink-jet printing method for obtaining a printing image of high printing density, lesser printing fluctuation and superior water-resistance. An embodiment of the present invention provides an ink-jet printing apparatus which can obtain superior quality of a printed image without causing lowering of printing speed and without requiring increased power source capacity. An embodiment of the present invention provides an ink-jet printing apparatus, an ink-jet printing method and a printing product produced by those apparatus and method, wherein a consumption of a liquid containing at least the printing property improving liquid to be applied for the printing medium for improving the printing ability can be minimized while achieving high quality image formation. It should be noted that, in the present invention, improvement of the printing ability includes improvement of image quality, such as density, chroma, degree of sharpness at the edge portion of the image, dot diameter and so forth, improvement of ink fixing ability, and improvement of weather-resistance, i.e. durability of the image, such as water-resistance, light resistance and so forth. It is not inherent that the printing property improving liquid is separately ejected from the ink, but can be ejected in the condition mixed with an ink which is not affected by the contained printing property improving liquid. It should be noted that, in the following discussion, the printing property improving liquid may also be referred to as P or S liquid, occasionally. In the present invention, "similar pixel" means pixels where the printing ink and the printing property improving liquid are printed on the printing medium in the same order and/or pixels which have the same time period T defined the interval from the time when the printing property improving liquid reaches, to the printing medium to the time when the printing ink reaches the printing medium. Also, in the present invention, "substantially adjacent" means to be partially placed adjacent to each other in the printing medium by penetration thereinto even when the inks are separated from each other upon ejection or upon hitting on the surface of the printing medium, and thus includes such a case. Also, the ejecting portion is an ejection nozzle array for the ink and the printing property improving liquid. Also, a head chip means a chip, in which the ejection nozzle group is formed to form the ejecting portion in one substrate. By combining a plurality of such head chips, a head unit is formed. On the other hand, the head portion is not necessarily formed with one head chip but may extend over different chips. Furthermore, an ink-jet head of the present invention means an assembly portion of the ejecting portion in a so-called ink-jet printing apparatus, which can be integratedwith the apparatus or independent therefrom. It should be noted that, if independent, the above-mentioned head unit is included. In this case, the number of head chips to be employed is not specified. In the case of a color serial type ink-jet head, the direction of arangement of respective heads may be in alignment in the transverse direction parallel to the primary scanning direction or in the perpendicular direction perpendicular to the primary scanning direction. With the printing method set forth above, an image realizing both uniformity of the image and color developing ability can be obtained. Namely, after performing printing with a colored ink on the printing medium one or more times, a printing property improving liquid is applied to the colored ink printed region for one or more times. Subsequently, further printing with the colored ink is performed over the image region where the printing property improving liquid is applied one or more times. Thereby, on the printing property improving liquid having low coverage ratio, at immediately adjacent position to the colored ink pixel, the color ink enhanced with the printing property improving liquid applied thereto, the coverage ratio becomes uniform through overall portion to achieve both of the uniformity of the image and color development. On the other hand, a similar effect may be attained by applying the printing colored ink after printing with the printing property improving liquid for at least one time, then, the printing property improving liquid is applied at least once thereover, and subsequently, printing is performed with the color ink for at least once. In the ink-jet printing employing both of the printing property improving liquid and the colored ink, there are formed a pixel on which the colored ink impinges at least once after application of the printing property improving liquid, a pixel on which, after impingement of the colored ink at least once, the printing property improving liquid impinges at least once and subsequently the colored ink impinges at least once, and a pixel, on which after impingement of the printing property improving liquid at least once, the colored ink impinges at least once, and subsequently the printing property improving liquid impinges at least once. By forming the image from at least two kinds of pixels among these pixels, uniform image in macro view can be formed by admixing the pixels having mutually different characteristics in micro view. It should be noted that, in the printing method of the present invention, it is desirable to form the image with pixels for which the final impingement on the printing medium is by colored ink. It is thus required that such pixels form a majority in the image. The printing property improving liquid includes a liquid to make a dye in the ink insoluble, a liquid to cause dispersion breakdown of a pigment in the ink, a treatment liquid and so forth. Here, making insoluble means a phenomenon to cause ionic interaction between an anion group contained in the dye of the ink and a cationic group of a cationic material included in the printing property improving liquid to cause ion coupling and whereby to cause separation from the solution of dye which is uniformly dissolved in the ink, It should be noted that even when not all of the dye in the ink is made insoluble, the effects of suppression of color bleeding, improvement of color development, improvement of the image quality and improvement of fixing ability, which the present invention intends, can be attained when a part of the dye in the ink is made insoluble. Also, the wording "coagulation" is used in the same meaning to "making insoluble" in case of a water soluble dye, in which a coloring agent contains an anion group. On the other hand, when the coloring agent employed in the ink is a pigment, ionic interaction between the pigment dispersing agent or the surface of pigment and a cationic group of cationic material included in the printing property improving liquid occurs to cause dispersion breakdown of the pigment with aggregation of pigment particles to form large diameter particles. Normally, associated with coagulation, viscosity of the ink is increased. It should be noted that even when not all of the pigment in the ink is made insoluble, the effects of suppression of color bleeding, improvement of color development, improvement of the image quality and improvement of fixing ability, which the present invention intends, can be attained when a part of the pigment in the ink is made insoluble. According to the present invention, upon performing a plurality of times printing operations setting the manner of application of the liquid containing at least the printing property improving liquid depending upon manner of application of the ink, a printed product with improved water-resistance and/or light resistance, or a high density and high quality printed image with lesser feathering and bleeding between colors and superior color development can be obtained. The above and other objects, effects, features and advantages of the present invention will become more apparent from the following description of the embodiments thereof and comparative examples taken in conjunction with the accompanying drawings. Figs. 1A and 1B are explanatory illustration showing the task to be solved by the present invention; Figs. 2A to 2C are explanatory illustrations showing the task to be solved by the present invention; Figs. 3A to 3C are explanatory illustrations showing the task to be solved by the present invention; Fig. 4 is an explanatory illustration showing the first comparative example of a printing method; Figs. 5A and 5B are explanatory illustration for comparing the first comparative example of a printing method with the conventional method; Figs. 6A, 6B and 6C are explanatory illustrations showing the first comparative example of a printing method; Fig. 7 is an explanatory illustration showing the second comparative example of a printing method; Fig. 8 is an explanatory illustration showing the second comparative example of a printing method; Fig. 9 is an explanatory illustration showing the third comparative example of a printing method; Fig. 10 is an explanatory illustration showing the third comparative example of a printing method; Figs. 11A and 11B are explanatory illustrations showing respectively the first embodiment of the printing method according to the invention and a printing method not falling within the scope of the invention claimed; Figs. 12 is an explanatory illustration showing the first embodiment of a printing method according to the invention; Fig. 13 is an explanatory illustration showing the second embodiment of a printing method according to the invention; Fig. 14 is an explanatory illustration showing the second embodiment of a printing method according to the invention; Fig. 15 is an explanatory illustration showing the third embodiment of a printing method according to the invention; Figs. 16A, 16B and 16C are explanatory illustrations showing the third embodiment of the printing method according to the invention, wherein Fig. 16A is a diagrammatic section showing the internal structure of an ejecting portion, Fig. 16B is a front elevation of the ejecting portion as viewed from the direction of ejecting openings, and Fig. 16C is a plan view of Fig. 16B; Fig. 17 is an explanatory illustration showing the fourth embodiment of a printing method according to the invention; Fig. 18 is an explanatory illustration showing the fourth embodiment of a printing method according to the invention, and is a diagrammatic section showing the internal structure of the ejecting portion; Fig. 19 is a perspective view of an ink-jet printing apparatus for implementing the printing method according to the invention; Fig. 20 is a perspective view showing an ink-jet cartridge to be loaded in the ink-jet printing apparatus of Fig. 19; Fig. 21 is an enlarged section near a heater body of a printing head to be loaded in the ink-jet printing apparatus shown in Fig. 19; Fig. 22 is a perspective view of a recovery unit in the ink-jet printing apparatus of Fig. 19; Fig. 23 is a block diagram showing a construction of a control system of the ink-jet printing apparatus of Fig. 19; Fig. 24 is a perspective view showing general constriction of the ink-jet printing apparatus in a fourth comparative example of an ink-jet printing method; Fig. 25 is a partial illustration showing a printing head employing the ink-jet printing apparatus of Fig. 24; Fig. 26 is a block diagram showing a control portion of the ink-jet printing apparatus shown in Fig. 24; Fig. 27 is a diagrammatic illustration for explaining the fourth comparative example of an ink-jet printing method; Fig. 28 is a diagrammatic illustration showing a modification of the fourth comparative example of an ink-jet printing method Fig. 29 is an illustration showing a dot forming condition in the case of printing the pixels in a staggered lattice pattern; Fig. 30 is a diagrammatic illustration for explaining the fifth comparative example of an ink-jet printing method; Fig. 31 is a diagrammatic illustration for explaining the sixth comparative example of an ink-jet printing method; Fig. 32 is a diagrammatic illustration for explaining the modification of the sixth comparative example of an ink-jet printing method; Fig. 33 is an illustration showing the seventh comparative example of an ink-jet printing method, for explaining the printing process of two path printing by means of a head unit in the ink-jet printing apparatus shown in Fig. 19; Figs. 34A, 34B, 34C, 34D and 34E are explanatory illustration of the ink and a mask for the printing property improving liquid in the ink-jet printing apparatus of Fig. 19; Figs. 35A, 35B and 35C are explanatory illustration of a mask for the printing property improving liquid in the eighth comparative example; Figs. 36A, 36B, 36C and 36D are explanatory illustration of a mask for the printing property improving liquid in the ninth comparative example; Figs. 37A, 37B and 37C are explanatory illustration of a mask for the printing property improving liquid in the eleventh comparative example; Fig. 38 is an explanatory illustration of a head in the twelfth comparative example; Fig. 39 is an explanatory illustration of the head in the modification of the twelfth comparative example; Fig. 40 is a diagrammatic illustration for explaining a printing process in a single path system; of the present invention; Fig. 41 is a block diagram showing one example of an information processing system employing an ink-jet printing apparatus; Fig. 42 is an external perspective view of the information processing system of Fig. 41; Fig. 43 is an external view showing another example of the information processing system employing an ink-jet printing apparatus; Fig. 44 is a perspective view showing a monochrome printing head unit 1 which is used in Fig. 12; Figs. 45A and 45B are exploded views showing a carriage portion in a color ink jet printing apparatus which is used in comparative example 2; Fig. 46 is a plane view showing a color printing head unit shown in Fig. 45A; Figs. 47A, 47B and 47C are drawings showing examples of separate type heads; Figs. 48A, 48B and 48C are drawings showing other examples of separate type heads; and Figs. 49A, 49B, 49C and 49D are drawings showing further examples of separate type heads. The preferred embodiments of the present invention and comparative examples will be discussed hereinafter in details with reference to the accompanying drawings. In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention. It will be obvious, however, to those skilled in the art that the present invention may be practiced without these specific details. In other instances, in order not to unnecessarily obscure the present invention, well-known structures are not shown in detail. (First Comparative Example) Fig. 4 shows the first comparative example of a printing method. The shown comparative example is directed to the printing method employing a monochrome (Bk) printing ink and a printing property improving liquid (S). It should be noted that improvement of the printing ability by the printing property improving liquid includes enhancement of image quality, such as improvement of density, chroma, degree of sharpness at an edge portion, dot diameter and so forth, improvement of fixing ability of the ink, improvement of durability of image, i.e. weather-resistance, such as water-resistance, light-resistance and so forth. On a not shown carriage, a Bk head 1001 and a printing property improving liquid ejecting head (S head) 1002 are mounted. In the shown example, in odd numbered scanning cycles where the heads are moved from left to right (forward direction) for printing, ejection to the printing medium is performed in the order of the printing property improving liquid and then the Bk ink. On the other hand, in even numbered scanning cycles where the head are moved from right to left (backward direction) for printing, ejection onto the printing medium is performed in the order of the Bk ink and then the printing property improving liquid. First, for the first image region, by the first scanning (forward direction), employing nozzles in a printing region 1 corresponding to the lower half of the width of the head nozzles, printing with the Bk ink is performed according to printing data which is established by thinning the original image data in a staggered pattern. The printing data for the printing property improving liquid is the same as the printing data for the Bk ink to be printed in the same scanning cycle. After printing for the first image region, the printing medium is fed by an amount corresponding to the half width (L/2) of the head nozzle width L. In the second scanning cycle (backward direction), printing is performed according to printing data complementary to that in the first scanning cycle. The complementary printing data is generated by thinning the original data in a reversed staggered pattern. At this time, with a second printing region 2 (upper half) of the printing head, printing is effected for the first image region. In conjunction therewith,a second image region is printed with the printing region 1 (lower half) of the printing head. At this time, the pixels in the portion of the first image region which was not printed in the first scanning cycle are printed by the complementary printing data generated by thinning the original data in reversed staggered pattern in the order of printing property improving liquid and then the Bk ink. Thus, through the second scanning cycle, printing for all of the image data for the first image region is completed. At this time, in the first image region, the staggered pattern is printed in the order of printing property improving liquid and then Bk ink and the reversed staggered pattern is printed in the order of the Bk ink and then printing property improving liquid. On the other hand, in the second image region, half of the image data is printed in the reversed staggered pattern in the order of the Bk ink and then the printing property improving liquid. After paper feeding for L/2 width of the head nozzle, a third scanning cycle (forward direction) is performed for printing in the staggered pattern generated in a similar matter to that in the first scanning cycle. Thus, the second image region is printed by the upper half of the nozzle and a third image region is printed by the lower half of the nozzle. Printing for the second image region is completed by this third scanning cycle. Here, the second image region is initially printed with the reversed staggered pattern with ejection of the Bk ink and the printing property improving liquid in the order of the Bk ink and then the printing property improving liquid, and then printed with the complementary staggered pattern with ejection of the Bk ink and the printing property improving liquid in the order of the printing property improving liquid and then the Bk ink. By repeating the foregoing process, the image regions on the printing medium respectively divided into L/2 width are sequentially printed for completing printing with all of the printing data. The effect of the shown comparative example will be discussed hereinafter. Comparison of the shown comparative example of the ink-jet printing method and the typical printing method will be shown in Figs. 5A and 5B. It should be noted that, in Figs. 5A and 5B, an example employing a four nozzle head construction is shown for facilitating understanding of the example of the Bk ink and the printing property improving liquid. The printing pixel 1101 is a pixel which is printed in scanning of the head unit in the forward direction from left to right. Therefore, in the pixel 1101, the printing property improving liquid (S) is ejected first, and then the Bk ink is ejected. On the other hand, the pixel 1102 is a pixel printed in scanning of the head unit in the reverse direction from right to left. In the pixel 1102, the Bk ink is ejected first, and then the printing property improving liquid (S) is ejected. In the typical printing method, since one path reciprocal painting 1101 and 1102 become band per nozzle width and the printed pixels 1101 is concentrated. Therefore, in such region, the covering ratio is lowered to make the line perceptible (Fig. 5A). In contrast to this, in the shown comparative example, as shown in Fig. 5B, respective pixels are arranged in a staggered pattern and a reversed staggered pattern and the same region has to be printed by two more scanning cycles. In the printed image, both of the pixels printed in the forward scanning cycle and the are presented so that the pixel printed in the order of the Bk ink and then the printing property improving liquid to achieve high covering rate is located adjacent to the pixel printed in the order of the printing property improving liquid and then the Bk ink to lower the coverage ratio. Therefore, as a whole, the coverage ratio can be equalized to avoid occurrence of the line. On the other hand, covering the color development ability, in the shown comparative example, 50% of the pixels consist of pixels having high color development ability, which are uniformly distributed in macro view. Therefore, the image achieving high color development and high uniformity can be formed without significantly degrading the effect of the printing property improving liquid. Furthermore, concerning water-resistance, the image having high water-resistance can be obtained irrespective of the order of ejection of the printing property improving liquid and the Bk ink. Also, color fluctuation and density fluctuation due to difference of order of ejection of the printing ink and the printing property improving liquid can be caused per dot and thus the uniformity is lowered in the micro view, but an image having high uniformity with equalized uniformity in macro view can be formed. Therefore, even when the printing property improving liquid is employed, a uniform image can be observed. Furthermore, performing printing in this way, as shown in Figs. 6A, 6B and 6C, by employing different nozzles in the same raster as the printing method of the conventional printing ink, achieves the effect of the multi-pass printing to avoid nozzle fluctuation. Therefore, the amount of ink and the printing property improving liquid to cause reaction becomes uniform as a whole to suppress the density fluctuation and color fluctuation. Furthermore, even when the ejection order between the ink and the printing property improving liquid is locally alternated due to a registration error between the heads, since the printing method according to the present comparative example forms the pixels of different ejection order in an admixed manner, the density fluctuation, color fluctuation due to registration error can be avoided. Therefore, the formed image cannot be disturbed significantly and is highly uniform. Namely, while the image formed by the conventional printing method with a fixed order of printing property improving liquid and then ink, has high color development ability but has low uniformity to have large number of lines, and the image formed in the order of ink and then printing property improving liquid has high uniformity but low color development ability, the present comparative example can provide an image having high color development ability with high uniformity. Furthermore, even in bi-directional printing employing the printing property improving liquid, lowering of uniformity of the image can be avoided. In addition, the shown comparative example may avoid nozzle fluctuation in multi-pass printing. While the shown comparative example shows an example of the monochrome ink and the printing property improving liquid, a similar effect can be attained even when a plurality of printing inks are employed, such as in color printing. Namely, by presenting in an admixed manner in micro view the pixels formed in the ejection order of printing property improving liquid, then printing ink 1 and further printing ink 2, and the pixels formed in the ejection order of printing ink 2, then printing ink 2 and the printing property improving liquid, a uniform image can be obtained in the macro view. Furthermore, while the shown comparative example has been illustrated in the case of two path bi-directional printing, by increasing the number scanning cycles, the influence of the nozzle fluctuation and so forth can be further reduced to achieve higher quality of image while the printing speed is inherently lowered. While the shown comparative example employs staggered and reversed staggered patterns of mask in thinning the image data to be printed, the present comparative example is not limited to this. Thus, the thinning pattern may be arbitrarily selected depending upon compositions of the ink and the printing property improving liquid, the desired image quality and printing mode. For example, in a printing mode giving importance to color development of the image, the mask pattern may be determined so that the majority of pixels are formed by ejection in the order of ink first and then printing property improving liquid. (Second Comparative Example) Figs. 7 and 8 show a second printing method. In the first comparative example the printing property improving liquid is employed for all of the printing pixels. However, in case of color printing employing a plurality of inks, if the printing property improving liquid is used for all of the ink printing pixels, the consumption of the printing property improving liquid becomes multiplied relative to one color of printing ink. Through the experiments made by the applicants, it has been found that even when the printing property improving liquid is thinned or reduced to be about 50 to 25% of the printing ink, the effect of the printing property improving liquid may not vary significantly (slightly different. depending upon composition of the printing property improving liquid). Therefore, in the shown comparative example, the equivalent effect to the foregoing first comparative example can be achieved with reducing consumption of the overall printing. Fig. 7 shows an example where the consuming amount of the printing property improving liquid is 50% of the printing pixels. In Fig. 7, 1001 and 1002 denote heads for Bk ink and the printing property improving liquid, respectively. The printing ink and the printing property improving liquid are performed by bi-directional printing in accordance with two kinds of masks for 4 x 4 pixels. In the first scanning cycle, printing is performed for the first image region with mask patterns K1 and S1. As a result, 25% of the pixels in the first image region are printed with both the printing property improving liquid and the printing ink ejected in the order of the printing property improving liquid and then the printing ink, and another 25% of pixels are printed only with the printing ink. Subsequently, the printing medium is fed by L/2 (corresponding to four nozzles in the drawing). Then, in the second scanning cycle, printing is performed for the pixels selected by mask patterns K2 and S2. By this, printing for the remaining pixels in the first image region is completed. On the other hand, in the second image region, 25% of pixels are printed with the printing ink and the printing property improving liquid ejected in the order of the printing ink and then the printing property improving liquid, and another 25% of pixels are printed only with the printing ink. Then, after feeding the printing medium by L/2 again, printing is performed employing the masks the same as those used in the first scanning cycle. By this, printing for the second image region is completed. Namely, the printing property improving liquid is printed with 25% masks in both of the odd numbered scanning cycles and even numbered scanning cycles and that is printed for 50% of the overall pixels. On the other hand, the printing ink is printed with 50% masks in both of the odd numbered scanning cycles and even numbered scanning cycles and that is printed for 100% of the overall pixels. Therefore, in total, the distribution of the pixels is 25% of pixels printed by both of the printing ink and the printing property improving liquid ejected in the order of the printing property improving liquid and then the printing ink, 25% of pixels printed by both of the printing ink and the printing property improving liquid ejected in the order of the printing ink and then the printing property improving liquid, and remaining 50% of pixels printed only with the printing ink. In the formed image, a pixel printed in the order of the printing property improving liquid and then the printing ink is surrounded with other pixels printed with the printing ink and the printing property improving liquid ejected in the reversed order or only with the printing ink. Therefore, no line will be caused. Similarly to the first comparative example, while density fluctuation and color fluctuation are present due to presence and absence of the printing property improving liquid and order of ejection of the printing ink and the printing property improving liquid in the micro view, an image having satisfactory uniformity in macro view can be formed. In addition, in the overall printing apparatus, the consumption of printing property improving liquid can be reduced to the extent that the effect thereof is not lost. While the shown comparative example has been discussed in terms of the example in which the pixels to be applied the printing property improving liquid is 50% of the overall pixels, it may also be possible to further reduce the number of pixels to be applied the printing property improving liquid to be 25% of the overall pixels as shown in Fig. 8. In the example, as masks for the printing ink, mask patterns K3 and K4 for printing 50% of pixels are employed, and as masks for the printing property improving liquid, mask patterns S3 and S4 for 12.5% of the pixels are employed. (Third Comparative Example) Fig. 9 shows the third comparative example of a printing method The shown comparative example of a printing method is adapted to avoid fluctuations making lines perceptible which can be caused in ejection of the printing ink and the printing property improving liquid in the order of the printing property improving liquid and then the printing ink. In Fig. 9, 1001 and 1002 denote heads for Bk ink and the printing property improving liquid, respectively. The printing ink and the printing property improving liquid are ejected only in the forward scanning direction. In the first scanning cycle, printing is performed for the first image region by the Bk ink according to the printing data generated by thinning the Bk printing data with the mask patterns K3. The printing data of the printing property improving liquid is 100% (mask pattern S5) with respect to the Bk image data in the first image region. Printing of the printing property improving liquid is performed in the first scanning cycle. Without feeding the printing medium, the printing heads are returned to their home position by an idling scan without performing printing. Subsequently, in the second scanning cycle, printing is performed with the printing data for the Bk ink complementary to the printing data for the Bk ink in the first scanning cycle, which complementary printing data for the Bk ink is generated by thinning the original Bk image data with the mask pattern K4. At this time, printing with the printing property improving liquid is not performed (mask pattern S6). In this second scanning cycle, printing of the image in the first image region is completed. Thereafter, the printing medium is fed and the printing heads are returned to the home position with an idling scan without performing printing. Then, with respect to the second image region, similar printing operations as those in the first and second printing cycles are performed in the third and fourth scanning cycles. By repeating the printing operations set forth above, the image can be formed. Namely, in the (2n-1) th scanning cycle (n is a natural number), printing with the printing ink is performed in accordance with the printing data generated by thinning the original printing data with the mask pattern K3 and printing with the printing property improving liquid is performed for the printing data which is 100% in relation to the printing data for the printing data in the same scanning cycle, and in the (2n) th scanning cycle, the printing is performed only with the printing ink according to the printing data which is complementary to the printing data used in the (2n-1) th scanning cycle, which printing data for the (2n) th scanning cycle is generated by thinning the original printing data for the printing ink with the complementary mask pattern K4. In all regions, ejection is performed in the order that the printing property improving liquid and then the printing ink. However, time intervals from impingement of the printing property improving liquid on the printing medium to impingement of the printing ink on the printing medium (impingement interval T) are significantly different. Namely, in the pixels corresponding to the pattern K3, the impingement interval is short whereas, in the pixels corresponding to the pattern K4, the impingement interval T becomes long. Hereinafter the influence of the impingement interval T, which is the period from impingement of the printing property improving liquid on the printing medium to impingement of the printing ink at the same pixel, will be explained. First, considering the relationship between the impingement interval and the diameter (diameter of equivalent circle) of the printed ink dot, shorter T results in smaller dot, and conversely longer T results in larger dot. The results of experiments with respect to the relationship between the impingement interval and the dot diameter (diameter of equivalent circle) of the printed ink dot are shown in Fig. 10. This shows the result where the printing property improving liquid and the printing ink are ideally overlapped in impingement. In the graph, the horizontal axis shows the period from impingement of the printing property improving liquid on the printing medium to impingement of the printing ink, and the vertical axis shows the dot diameter (diameter of equivalent circle) of the printing ink on the printing medium. Supposing printing at 360 dpi, when the impingement interval becomes longer than a certain amount (longer than or equal to 250 msec.), an image with high uniformity and no perceptible fluctuation line can be obtained. On the other hand, in terms of color development, it has been known that a shorter impingement interval T may result in an image of higher color development. It is considered that the longer T may permit the reacting component of the printing property improving liquid to penetrate into the printing medium to a certain depth, and associating therewith, the coloring component of the printing ink may also penetrate into the printing medium from the surface thereof to be fixed. In the experiments, it has been found that the effect for further enhancement of the color development can be obtained with T in the order of 150 msec. Next, the effect of the shown comparative example will be discussed. In the shown comparative example, as shown in Fig. 10, printing of the Bk ink and the printing property improving liquid are performed in the same scanning cycle in one scanning cycle,and printing of the Bk ink is performed a different scanning cycle to printing of the printing property improving liquid in the other scanning cycle. Therefore, in each image region, the pixels having different impingement intervals T are present in an admixed manner with the mask patterns K3 and K4. Therefore, in micro view, regions which are printed with mutually different impingement intervals T, are present in an admixed manner. Pixels printed with a short impingement interval and pixels printed with a long impingement interval are located adjacent to each other. Therefore, in total the covering ratio is increased to make the fluctuation line not perceptible. In terms of the color development, since the image is formed with 50% of pixels having high color development and, in macro view, such pixels with high color development are distributed uniformly, an image having high color development can be attained without significantly lowering the effect of the printing property improving liquid. In the shown comparative example, the mask patterns are formed in staggered and reversed staggered patterns with respect to 2 x 2 pixels. However, this pattern is not exhaustive and merely showsone example. Therefore, the mask pattern may be arbitrarily variable depending upon the compositions of the ink and the printing property improving liquid, construction of the printing heads, printing data, the image quality required by the user, required printing speed and so forth, together with the printing path and so forth. While the shown comparative example has been illustrated in terms of ejection order of the printing property improving liquid and then the printing ink with different hitting interval T, even if the order of ejection is the printing ink and then the printing property improving liquid, the dot diameter and the color development of the dots may be different impingement intervals are different between the dots. Even in such a case, by admixing the pixels having different impingement intervals in respective image regions, an image having high uniformity in macro view can be obtained. (First Embodiment of the Invention) Next, the first embodiment of the invention will be discussed. Figs. 11A and 11B are illustrationsshowing the penetrating condition of the printing ink and the printing property improving liquid in the depth direction of the printing medium when printing in accordance with the shown embodiment of the printing method. In Fig. 11A printing is performed on the printing medium in the order of the printing ink, then the printing property improving liquid and then the printing ink. In this case, the printing ink is ejected twice for one image data. However, the total amount of the printing ink is set to be equivalent to the ink amount in printing performed without employing the printing property improving liquid. Preferably, the ink amount is about 50% of the final ink amount. In this case, since the printing property improving liquid is sandwiched between the printing ink ejected in advance of ejection of the printing property improving liquid (printing ink 1) and the printing ink ejected after ejection of the printing property improving liquid (printing ink 2), in comparison with the case where the ink and the printing property improving liquid are ejected in the order of the printing property improving liquid and then the printing ink or the printing ink and then the printing property improving liquid, the reaction area becomes greater to make the effect more stable. Also, because of the presence of the printing ink 1 on the surface of the printing medium, the printing property improving liquid may stay in the area relatively close to the surface of the printing medium. Therefore, the coloring element of the dye of the printing ink 2 may stay at the surface of the printing medium to provide high color development. Furthermore, it becomes possible to prevent the occurrence of the formation of line due to small dot diameter in the case of printing in the order of the printing property improving fluid and then the printing ink. Hereinafter, examples of the head construction and the printing method for realizing the shown embodiment will be discussed with reference to Fig. 12 in terms of the case where printing is performed in the order of the printing ink, then the printing property improving liquid and then the printing ink as shown in Fig. 11A. It should be noted that, while the shown embodiment will be discussed with the example of the monochrome printing of Bk ink, the present invention should not be limited to this example. In Fig. 12, 2000 denotes a head unit, 2001, 2002 and 2003 denote heads for ejection of Bk 1, printing property improving fluid and Bk 2, respectively. An image region 2011 of the printing medium is a region for performing printing upon scanning the head in the forward direction. At first, by shifting the head in the forward direction, printing is performed for the region 2011 corresponding to the nozzle width L by ejecting the printing ink 1 (Bk 1), the printing property improving liquid and then the printing ink 2 (Bk 2) in order. Then, paper is fed by the nozzle width L. Then, a region 2021 is printed by scanning the head in the reverse direction, and thereafter the printing medium is fed by the nozzle width L to perform printing on an image region 2012 to form the image. By repeating this, the entire image can be formed. Namely, in the image region 2010, the printing is performed by ejecting the printing ink and the printing property improving liquid in the order of Bk 1, then printing property improving liquid and then Bk 2, and conversely, in the region 2020, printing is performed by ejecting the printing ink and the printing property improving liquid in the order of Bk 2, then printing property improving liquid and then Bk 1. In the shown embodiment, the head for the printing property improving liquid is disposed between two Bk heads. However, the present invention should not be limited to the shown layout of the heads. For instance, in the case where one Bk head and one printing property improving liquid head are employed, a similar effect may be attained by an additional pass in printing. In the shown embodiment of the printing method, the reaction area between the printing property improving liquid and the ink is increased. In addition, it becomes possible to prevent the lowering the covering ratio which is a problem in the case of ejecting order of the printing property improving liquid and then the printing ink, and also to prevent the burying of the coloring element in the printing medium which is a problem in the case of ejection order of the printing ink and then the printing property improving liquid, and thus to permit provision of an image with high color development and uniformity. While the shown embodiment has been discussed in terms of monochrome printing, the present invention should not be limited to the monochrome printing but is applicable even for multi-color printing. such as color printing. In the latter case, printing is performed with two or more inks in the ejection order of the printing ink 1, then printing property improving liquid and the printing ink 2, which achieves greater reaction area of the printing inks with the printing property improving liquid and satisfactorily high water-resistance in comparison with the case where the ejection is performed in the order of the printing property improving liquid, then the printing ink 1 and then the printing ink 2. On the other hand, in Fig. 11B, printing is performed in the order of the printing property improving liquid, then the printing ink and then the printing property improving liquid. The total amount of the printing property improving liquid ejected separately is substantially the same as the amount of the printing property improving liquid in the former embodiment of Fig. 11A. Preferably, the ejection amount of the printing property improving liquid is approximately half. In this case, the area to cause reaction of the printing property improving liquid becomes greater to make the effect of the printing property improving liquid stable. In the similar printing method in the known art, nothing has been discussed about the amount of the printing property improving liquid. If printing is performed with the amount of the printing property improving liquid amount ejected before ejection of the printing ink as illustrated in Fig. 11A, sufficient reaction is caused between the printing property improving liquid and the printing ink, and the formed image is equivalent to that formed by ejection of the printing property improving liquid and the printing ink in the order of printing property improving liquid and then the printing ink on which fluctuation line is perceptible. On other hand, when the amount of the printing property improving liquid to be ejected in advance of ejection of printing ink is too small, the formed image becomes equivalent to that formed by ejection of the printing property improving liquid and the printing ink in the order of printing ink and then the printing property improving liquid, forming an image with lower color development and containing feathering. Therefore, the respective ejection amounts are preferred to be half of the amount of Fig. 11A. Also, according to the technical idea of the present invention, reaction between the ink and the printing property improving liquid can be further prompted by further increasing number of times of ejection of the ink and the printing property improving liquid by further dividing the amount of the ink and the printing property improving liquid to be ejected to each pixel, such as printing property improving liquid, then the printing ink, then the printing property improving liquid and then the printing ink. However, this cannot be achieved unless the number of heads is increased or the printing speed is reduced. Therefore, the manner of realizing this may depend upon different requirements for the cost of the apparatus, printing speed, printing quality and so forth. At this time, it is desirable to set the ejection amount for each ejection so that the total ejection amount of the printing property improving liquid does not exceed an ink receptacle capacity of the printing medium. (Second Embodiment of the Invention) In Fig. 13, 1101 and 1102 are color printing head and the printing property improving liquid ejecting head, respectively. The color printing head 1101 is a C-M-Y color integrated chip, in which a cyan ink ejecting head, a magenta ink ejecting head and a yellow ink ejecting head are integrated as shown in Fig. 14. The printing property improving liquid is printed similarly to the pixel data of the color data to be printed in the same scanning cycle. Fig. 13 shows a printing method according to the shown embodiment. For the purpose of disclosure, discussion will be given for the printing of blue color employing C (cyan) and M (magenta) inks. On the first scanning cycle, printing is performed in an image region 1c in the order of the printing property improving liquid and then C ink. Subsequently paper feed is performed for 48 nozzles to perform printing on a image region 2c in the order of the printing property improving liquid and then C ink. In conjunction therewith, for an image region 1m, printing is performed in the order of the printing property improving liquid and then the M ink. Thus, printing in blue color is completed in the image region 1m. The image regions 1c and 1m are offset by 8 nozzles as intercolor sealing width. Therefore, the image region 1m is set at a width of 40 nozzles. Subsequently, by feeding the paper for 48 nozzle width, printing is performed for the image region 3c in the order of the printing property improving liquid and then C ink. In conjunction therewith, printing is performed for an image region 2m in the order of the printing property improving liquid and then the M ink. The printing region of the M head in the third and subsequent scanning cycles is set at 48 nozzle widths. By repeating such printing operations, an image is formed. Next, the effect of the shown embodiment will be discussed. By analogy with the conventional printing method, it is considered typical that the data of the printing property improving liquid is a logical sum of the C ink data and the M ink data and that printing is performed in the order of the printing property improving liquid, then the C ink and then the M ink. However, in the shown embodiment of the printing method, immediately before ejecting the ink, the printing property improving liquid is always printed. Namely, printing is performed in the order of a printing property improving liquid 1, the then C ink, then a printing property improving liquid 2 and then the M ink. In the former conventional printing method, the effect of the printing property improving liquid becomes insufficient in term of improvement of the color development and so forth, particularly for the M ink which is ejected later. This is considered to be caused by the long time interval from impingement of the printing property improving liquid to impingement of the M ink. Penetration of the printing property improving liquid into the printing medium during this period causes reaction between the printing property improving liquid and the M ink to occur at a relatively deep position in the printing medium. In contrast to this, in the shown embodiment of the printing method, printing of the printing property improving liquid 2 is performed immediately before printing of the M ink. Thereby, the impingement interval between the M ink and the printing property improving liquid becomes short, the M ink being ejected before the printing property improving liquid 2 penetrates into the printing medium, so that reaction between the M ink and the printing property improving liquid occurs in the vicinity of the surface of the printing medium. Thus, improvement of the color development can be attained. In case of the C (cyan) ink and Y (yellow) ink, the impingement interval between the printing property improving liquid and the Y ink becomes long, making it impossible to obtain sufficient effect of the printing property improving liquid. In contrast to this, in the shown embodiment of the printing method, sufficient effect of the printing property improving liquid can be obtained in all cases. Furthermore, in case of multi-pass printing for obtaining higher image quality, the impingement interval is inherently longer whereas the printing method according to the present invention may achieve satisfactory improvement by the printing property improving liquid. Considering the case where the printing property improving liquid ejecting head and the heads for respective color inks are arranged in lateral alignment, in the conventional method not employing the printing property improving liquid, in order to avoid overflow of the ink by ejecting a large amount of ink for one pixel at one time, a thinning mask is set so that a plurality of inks may be ejected for the same pixel at different scanning cycles. When this printing method is applied to the printing method which takes the logical sum of the printing data for respective printing inks as printing data for the printing property improving liquid, the impingement interval between impingement time of the printing property improving liquid and impingement time of the printing ink to be ejected in the later scanning cycle becomes large. Therefore, by employing the printing method according to the shown embodiment, sufficient effect of the printing property improving liquid can be obtained while satisfactorily avoiding overflow of ink. On the other hand, with respect to the shown embodiment of the printing method, when bidirectional printing is performed for higher printing speed, disturbance of uniformity due to difference of order of ejection of the inks and the printing property improving liquid can be prevented by employing the printing system set forth with respect to the first comparative example. (Third Embodiment of the Invention) The third embodiment of the present invention will be discussed hereinafter. The shown embodiment of the printing method will be discussed with reference to Figs. 15, 16A, 16B and 16C. In Fig. 15, 1201 and 1202 respectively denote the monochrome (Bk) head and the printing property improving liquid ejecting head. While the Bk ink is employed as monochrome printing ink, the present invention should not be limited to this. These heads are designed to eject different ejection amounts of droplets through one nozzle. Namely, as shown in Figs. 16A, 16B and 16C, within a liquid passage 12 communicating with one nozzle 11, two heaters 13A and 13B are arranged in parallel. Respective heaters 13A and 13B are driven independently of each other. By using both heaters, normal ejection amount may be obtained. On the other hand, by using one of the heaters, an ejection amount approximately half of the normal ejection amount can be obtained. The ejection amount of the Bk head is Vdk1 = 80 pl, Vdk2 = 40 pl, and ejection amount of the printing property improving liquid head is Vds1 = 40 pl, Vds2 = 20 pl. In the method shown in Fig. 15, in the first scanning cycle, Vds2 of the printing property improving liquid and Vdk2 of Bk ink are printed in checkered pattern in the order of printing property improving liquid and then the Bk ink. Then, feeding paper by L/2 and with an idling scan in the reverse direction, the heads are returned to the home positions. Subsequently, printing in the second scanning cycle is performed. At this time, for the pixels in the checkered pattern, printing is performed with ejection amounts Vds2 and Vdk2 in the order of the printing property improving liquid and then the Bk ink similarly to the first scanning cycle. On the other hand, for the pixels of reversed checkered pattern, printing is performed with the ejection amounts of Vds1 and Vdk1 in the order of the printing property improving liquid and then the Bk ink. Therefore, in the first image region, the pixels in the checkered pattern are printed in the order of the printing property improving liquid, then the Bk ink, then the printing property improving liquid and then the Bk ink. On the other hand, the pixels in the reversed checkered pattern are printed in the order of the printing property improving liquid and then the Bk ink to complete printing. At this time, the total ejection amounts of each of the Bk ink and the printing property improving liquid are the same for all of the pixels. Subsequently, by feeding the paper by L/2 and with and idling scan of the heads, printing of the printing property improving liquid (Vds2) and the Bk ink (Vdk2) is performed. Thus, printing for the second image region is completed. Similarly to the first image region, the second image region is printed in the manner that the pixels in the checkered pattern are printed in the order of the printing property improving liquid, then the Bk ink, then the printing property improving liquid and then the Bk ink, and the pixels in the reversed checkered pattern are printed in the order of the printing property improving liquid and then the Bk ink to complete printing. By repeating this, the image can be formed. Namely, in odd numbered scanning cycles, the pixels on the checkered pattern are printed in the order of the printing property improving liquid (Vds2) and then the Bk ink (Vdk2), subsequently, after feeding the printing medium by L/2, in even numbered scanning cycles, the pixels on the checkered pattern are printed in the order of the printing property improving liquid (Vds2) and then the Bk ink (Vdk2) and, in conjunction therewith, the pixels on the reversed checkered pattern complementary to the checkered pattern are printed in the order of printing property improving liquid (Vds1) and the Bk ink (Vdk1). Therefore, the pixels printed in the order of the printing property improving liquid, then the Bk ink, then the printing property improving liquid and then the Bk ink are arranged in the checkered pattern, and the pixels printed in the order of the printing property improving liquid and then the Bk ink are arranged in the complementary reversed checkered pattern. Next, the effect of the shown embodiment will be discussed. In the divided printing method, such as ejection in the order of the printing property improving liquid, then the printing ink, then the printing property improving liquid and then the printing ink as set forth in the foregoing first embodiment, or ejection in the order of the printing ink, then the printing property improving liquid and then the printing ink, the reaction area between the printing property improving liquid and the ink is large, so sufficient effect of the printing property improving liquid can be expected. However, if such manner of printing is performed with respect to the overall image, the heads are required to have about twice higher durability. Therefore, in the shown embodiment of the printing system, printing is performed for half of the overall pixels with a printing duty (Duty) half of the normal printing duty by ejecting the ink and the printing property improving liquid in the order of the ink, then printing property improving liquid and then the ink, and the remaining half of the pixels are printed with a full printing duty by ejecting the ink and the printing property improving liquid in the order of the printing property improving liquid and then the ink. In this way, by maintaining the effect of the printing property improving liquid as attained in divided printing at a relatively high level, the lifetime of the head can be expanded. Similarly to the first comparative example, by placing the pixels of different natures in admixed manner in micro view, an image having high uniformity in the macro view can be obtained. In the shown embodiment, as an example of divided printing, printing by ejecting ink and the printing property improving liquid in the order of the printing property improving liquid, then the ink, then the printing property improving liquid and then the ink has been discussed. However, the present invention is not limited to the shown manner of dividing printing, and ejection can be done in the order of the printing ink, then the printing property improving liquid and then the printing ink. (Fourth Embodiment of the Invention) In the foregoing embodiments, examples of checkered and complementary reversed checkered mask patterns are employed or examples where the unit regions of 4 x 4 pixels are arranged in checkered and reversed checkered fashion are discussed. Another manner will be discussed with the shown embodiment. Fig. 17 shows a case where the printing property improving liquid and the ink are ejected in the order of the printing property improving liquid and then ink and in the order of the ink and then the printing property improving liquid. In this example, printing is performed at a density of 360 dpi in overall printing width in the main scanning direction of the head. In the shown embodiment, the region of one pixel width printed by ejecting the printing property improving liquid and the ink in the order of the printing property improving liquid and then the ink and the region of one pixel printed in the order of the ink and then the printing property improving liquid, are arranged in alternating manner. Even with repetition of a constant width of bands, and if the width of the band is not significantly large, an image with uniformity in macro view can be formed. In Fig. 18, an example where the pixels of different natures are arranged alternately in the main scanning direction of the head. Even in this case, a similar effect can be attained. In the shown embodiment, when the width of the band is expanded at 360 dpi, the band fluctuation was not perceptible up to the band width corresponding to five pixels. When greater band width (360 dpi, six pixel widths and about 420 µm width), the band fluctuation becomes significant to lower the uniformity of the image to cause degradation of the printed image. Namely, with respect to the main scanning direction and the auxiliary scanning direction, pixels of different quality may be admixed so as not to arrange the same quality images continuously in a width greater than or equal to a certain width (about 430 µm), and an image with high uniformity can be obtained without causing degradation of the image quality. While the printing in the order of the ink and then the printing property improving liquid is shown in the shown embodiment, a similar effect can be obtained even when pixels of different quality are admixed in the manner of the second and third comparative examples and the third embodiment of the invention. On the other hand, in the foregoing comparative examples and embodiments of the invention, there is illustrated the case where the printing ink and the printing property improving liquid impinge on the same pixel. However, even in the case where the impingement position of the printing property improving liquid is intentionally shifted from the impingement position of the pixel to be printed, and when the impingement positions of the printing property improving liquid and the printing ink are substantially adjacent, including the case where the printing ink and the printing property improving liquid are located away from each other and the ink and the printing property improving liquid become adjacent after penetration in the printing medium, sufficient effect can be obtained in the above-mentioned embodiments. (Fifth Embodiment of the Invention) In the above-mentioned embodiment, the ratio of ejection amounts of the printing property improving liquid and the ink to the printing medium will be discussed. In the printing method illustrated in the first comparative example of Figs. 1 and 2, the ink and the printing property improving liquid are ejected for the same times for respective pixels. Through experiments of the inventors with the ratio of the ejection amount to the printing medium, the effect of the printing property improving liquid become different. However, in view of the water resistance and fluctuation line, the ratio of ejection amount, about (ink ejection amount) : (printing property improving liquid) = 1 : 0.1 to 1 may be appropriate. The inventors have performed experiments to perform printing with printing ink (mounting type BK) by a head having ejection amount 80 ng at grid points of 360 dpi, and to vary the ejection amount of the printing property improving liquid within a range of about 5 to 100 ng. When this ratio exceeds 1 : 0.1, water-resistance is lost. Also, when the ratio exceeds 1 : 1, in which the ejection amount of the printing property improving liquid exceeds the ejection amount of the ink, line may become perceptible in certain kinds of ink. In addition, in consideration of fluctuation of the ejection amount in the tolerance of the printing head and variation of the use environment (ink ejection amount):(printing property improving liquid) = 1 : 0.25 to 0.75 Here, while the example in the first comparative example is discussed, even in the second and third comparative examples and the first and second embodiments of the invention, substantially the same effect can be obtained as long as the ratio of the total ejection amount of the ink and the total ejection amount of the printing property improving liquid is within the foregoing value. Namely, the effect of the present invention is obtained not with the ratio of the ejection amount in the micro region but with the ratio of macroscopically equalized ejection amounts. (Supplementary for Embodiment) One embodiment of an ink-jet printing apparatus for implementing the foregoing first to fifth embodiments of the printing method according to the present invention will be discussed. Fig. 19 is a perspective view showing the general construction of one embodiment of an ink-jet printing apparatus. In an ink-jet printing apparatus 100, a carriage 101 slidably engages with two guide shafts 104 and 105 extending in parallel to each other. Thereby, the carriage 101 can be driven to shift along the guide shafts 104 and 105 by a drive motor and a driving force transmission mechanism (both are not shown) for transmitting the driving force of the drive motor. On the carriage 101, an ink-jet unit 103 having an ink-jet head and an ink tank as an ink container for storing an ink to be used in the head, is mounted. The ink-jet unit 103 comprises a plurality of heads for ejecting ink or a printing property improving liquid for improving water resistance or printing ability, and tanks as containers for storing ink or the printing property improving liquid to be supplied to the heads. Namely, five heads in total for respectively ejecting black (Bk), magenta (M), yellow (Y) and cyan (C) inks and the above-mentioned printing property improving liquid, and tanks corresponding to respective heads, are mounted on the carriage 101 as the ink-jet unit 103. Each head and the corresponding tank are mutually detachable from each other so that when the ink or the printing property improving liquid in the tank is spent, the emptied tank can be exchanged independently, as required. Also, it is of course possible to exchange a single head as required It should be noted that construction for attaching and detaching of the head and the tank is not specified to the shown example, and the head and tank may also be formed integrally. Paper 106 as a printing medium is inserted through an insertion opening 111 provided at the front end portion of the apparatus, which is finally reversed in the feeding direction and fed to the lower portion of the motion range of the carriage 101 by a feed roller 109. Thereby, from the heads mounted on the carriage 101, inks are ejected on the paper 106 supported on a platen 108 associating with motion of the head to perform printing in a printing region. As set forth above, by alternately repeating printing in a width corresponding to the width of ejection opening arrangement of the head and feeding of the paper 106, printing is performed on overall paper 106. The paper 106 is then discharged at the front side of the apparatus. In a region at the left side end of the motion stroke of the carriage 101, a recovery unit 110 which can be opposed to respective heads of the carriage 101 from the lower side, is provided. Thereby, an operation for capping respective ejection openings of the ejection heads in a non-printing state and sucking ink from ejection openings of the respective heads can be performed. Also, the predetermined position at the left side end is set as a home position of the head. On the other hand, at the right side end of the apparatus, an operating portion 107 having switches and display elements are provided. The switches are used for the turning ON and OFF of a power source of the apparatus and the setting of various printing modes, and so forth. The display elements serve for displaying various conditions. Fig. 20 is a general perspective view showing the ink-jet unit 103 explained with respect to Fig. 19. In the shown construction, respective tanks of black (Bk), magenta (M), yellow (Y) and cyan (C) color inks and the printing property improving liquid can be exchanged independently. Namely, in order to detachably load each head independently, a head casing 102 and Bk ink tank 20K, C ink tank 20C, M ink tank 20M and Y ink tank 20Y and a printing property improving liquid tank 21 are mounted on the carriage 101. Respective tanks are connected to heads via connecting portions and supply inks. It should be noted that, other than the foregoing example, the tanks of the printing property improving liquid and the Bk ink may be of integral construction. On the other hand, the tank of C, M and Y may be of integral construction. Fig. 21 is an enlarged section in the vicinity of the heater of the printing head. The ink-jet printing apparatus in the shown embodiment employs a printing system, in which a heater constituted of an electrothermal transducer is arranged corresponding to each ink ejection opening and applying a drive signal corresponding to a printing information to eject ink droplet through the ejection opening. Here, the heater is constructed to be heated independently of all other nozzles. More concretely, the ink in the nozzle is abruptly heated by heating of the heater 30 which forms a bubble by film boiling. By the pressure in generated by the bubble, the ink droplet 35 is ejected toward the printing medium 31, and the character and image are formed on the printing medium. At this time, the volume of the ink droplet of respective of ejected color is 15 to 80 ng. For each ejection opening, ink passage 34 communicating with the ejection opening 23 is provided. At the back side of the portion where the ink passage 34 is provided, a common liquid chamber 32 is provided for supplying the ink to the ink passage 34. In the ink passages respectively corresponding to the ejection openings 23, electrothermal transducers as heaters 30 for generating thermal energy to be used for ejection of ink droplets 35 through the ejection openings 23, and electrode wiring for supplying power to the heater are provided. These heaters 30 and the electrode wiring are formed on a substrate 33 formed of silicon and so forth, by a film formation technology. On the heater 30, a protective layer 36 is formed for avoiding direct contact between the ink and the heater. Furthermore, by stacking the partitioning wall 34 by resin or glass material on the substrate 33, ejection openings 23, the ink passage 34 and the common liquid chamber 32 and so forth are constructed. Such a printing system employing a heater 30 constituted by a electro-thermal transducer is called a bubble-jet printing system since a bubble formed by application of thermal energy is used to eject an ink droplet. Fig. 22 is a perspective view showing concretely the construction of recovery unit 110 shown in Fig. 19. Corresponding to printing heads, a cap 112 for Bk ink, a cap 114 for C ink, a cap 115 for M ink, and a cap 116 for Y cap and a cap 113 for the printing property improving liquid are provided. Each of the caps 113 to 116 is constructed for movement in vertical direction. When the printing heads are positioned at the home position, the caps 112 to 116 contact with the printing head portions for capping to prevent ejection failure caused by increasing of viscosity or plugging of the inks due to evaporation of inks within the ejection openings of the printing heads. The caps 112 to 116 of the recovery unit 110 communicated with pump units 119. The pump units 119 are used for generating vacuum in the sucking recovery process for sucking ink from the ejection openings of the printing head by contacting the capping unit and the printing head. The pump units 119 include one provided exclusively for the printing property improving liquid and those provided for respective heads of respective colors of inks independently. Waste liquids are fed to a waste tank through respectively independent passages. This is to avoid occurrence of reaction between the printing color inks and the printing property improving liquid in the pump making the coloring agents in the inks insoluble. In an alternative, one pump unit may be for the printing property improving liquid and another for the printing color inks in common. In the recovery unit, a printing property improving liquid wiping blade 117 for wiping the ejection opening portion of the printing property improving liquid head and a color ink wiping blade 118 for wiping the ejection opening portions of the printing ink ejecting heads are provided. These wiping blades 117 and 118 are blades formed of elastic material, such as rubber, for wiping off the ink or the printing property improving liquid depositing on the surfaces of the printing heads in which ejection openings are formed. The blades are constructed to be movable by a lifting device between a lifted up position for wiping the printing head surface and a lowered position not to interfere with the printing head surface. In order to avoid mixing of the printing ink and the printing property improving liquid in the vicinity of the surfaces of the printing heads in which ejection openings are formed, the printing property improving liquid wiping blade 117 for wiping the printing property improving liquid and the color ink wiping blade 118 for wiping the color inks are provided independently of each other and are designed for independent movement in the vertical direction relative to each other. Fig. 23 is a block diagram showing the construction of the control system for the shown embodiment of the ink-jet printing apparatus. From a host computer, data comprising characters or an image to be printed (hereinafter referred to as image data) is input to a reception buffer 401 of the printing apparatus 100. On the other hand, data verifying if correct data is transmitted or data notifying the operating condition of the printing apparatus is transferred from the printing apparatus to the host computer. The data input to the reception buffer 401 is transferred to a memory portion 403 in the form of RAM and temporarily stored therein under control of the control portion 402 having a CPU. A mechanism control portion 404 drives a mechanical portion 405, such as a carriage motor or a line feed motor and so forth as a driving power source for the carriage 101 or the feed roller 109 (both seen from Fig. 1), under command of the control portion 402. A sensor/SW control portion 406 feeds a signal from a sensor/SW portion 407 constituted of various sensors and SWs (switches), to the control portion 402. A display element control portion 408 controls display of a display element portion 409 constituted of LEDs or printing property improving liquid crystal display elements of display panel group. The head control portion 410 independently controls driving of respective heads 30K, 30C, 30M and 30Y according to a command from the control portion 402. On the other hand, the head control portion 410 also reads temperature information or so forth indicative of the condition of respective heads and transfers it to the control portion 402. In the control portion 402, an image processing portion which performs image processing is constructed. (Fourth Comparative Example) Fig. 24 is a perspective view showing the general construction of a printing apparatus for implementing the fourth comparative example of an ink-jet printing method. In Fig. 24, 701 denotes ink cartridges. These cartridges 701 are constituted of tanks, filled with black (K), cyan (C), magenta (M) and yellow (Y) inks and the printing property improving liquid for making the coloring agent of the inks insoluble or coagulated (hereinafter occasionally also referred to as "P liquid"), and a multi-head 702. The multi-nozzle arranged on the multi-head 702 is illustrated in a form as viewed in the z direction. In Fig. 24, 703 denotes a paper feeder roller cooperating with auxiliary roller 704 rotating in the direction of the arrow in Fig. 1 to hold the printing paper as the printing medium and feed the printing paper in y direction. Also, 705 denotes a paper supply roller for supplying the printing paper and also serves for holding the printing paper similarly to the rollers 703 and 704. 706 denotes a carriage supporting the foregoing five ink cartridges and Shifting the same according to the progress of printing. While printing operation is not being performed or to perform the recovering operation of the multi-head, the carriage 706 is placed at the home position as shown by broken line in Fig. 24, in a stand-by state. It should be noted that, in the shown comparative example, the ejecting portions of the respective ink-jet cartridges cause changes of state utilizing thermal energy to eject the droplet. Here, the ejecting portion may be a part of the same head or a different head. Here, the five cartridges mounted on the carriage 706 are arranged on the carriage for overlaying inks in the order of P liquid, black ink, cyan ink, magenta ink and yellow ink. Fig. 26 is a block diagram showing a control portion of the ink-jet printing apparatus shown in Fig. 24. In Fig. 26, 1201 denotes a control portion constructed mainly with CPU, ROM, RAM and so forth for controlling respective portions of the apparatus according to a program stored in ROM. 1202 denotes a driver for driving a carriage motor 1205 for shifting the carriage 706 in the x direction (main scanning direction) on the basis if the signal from the control portion 1201, 1203 is a driver for driving a feeder motor 1206 for driving the supply roller 705 and the feeder roller 703 in y direction (auxiliary scanning direction) on the basis of the signal from the control portion 1201, 1204 denotes a driver for driving multi-heads 1207 to 1211 (corresponding to 702 in Fig. 24) on the basis of a printing data from the control portion, 1212 is an operation display portion for performing various key inputs and various displays, and 1213 is a host system for supplying printing data for the control portion 1201. Before initiation of printing, the carriage 706, placed at the position h (home position) in Fig. 24, is responsive to a printing start command to perform printing on the surface of the printing medium by the n in number of multi-nozzles 801 on the multi-head 702. Upon completion of printing of the data up to the edge of the paper, and reaching a reversing position, the paper is fed in the y direction by the given amount by the feeder roller 703. Then, the carriage is initiated to move toward the home position to perform printing again. Thus, per every scan of the carriage (primary scan), printing with the multi-head and paper feed is repeated to complete data printing for one sheet. Basically, the image data of the head for P liquid is generated as a logical sum of the image data fed to respective ink-jet printing heads. In certain case, printing is performed with thinned image data. Fig. 27 is a diagrammatic illustration explaining the fourth comparative example of an ink-jet printing method. Fig. 27 shows a manner of printing with employing a head with eight nozzles, for convenience of disclosure. In the shown comparative example, the carriage 706 carrying the ink-jet printing heads for inks and the ejection head for the P liquid performs printing for pixels of image data 301 in forward scanning by moving in the direction of the arrow to print the ink image and P liquid image (first scanning cycle). As can be seen from 301, in the first scanning cycle, the P liquid data is not thinned and the ink image data is thinned for printing in checkered pattern. At this time, the arrangement of the heads mounted on the carriage are P liquid, K, C, M and Y in order to the right. In each pixel, after hitting the printing property improving liquid, the ink is hot. Next, without effecting paper feed, the carriage driving direction is reversed to move the head in the reverse direction opposite to the first scanning direction to perform a second scan. At this time, the P liquid is not ejected, and only ink is ejected according to the image data thinned in a reversed or complementary checkered fashion. Thus, the image in the printing region of the head from the upper end of the image printing region is completed. Then, the paper is fed by an amount corresponding to eight pixels in the y direction by the feeder roller. Thus, the printing head is situated in the stand-by state at the position corresponding to the printing condition of 303. Then, similarly to the first scanning cycle, by scanning the carriage in the forward direction, printing is performed with the P liquid and the inks (third scanning cycle). Subsequently, a fourth scanning cycle similar to the second scanning cycle is performed. Thus, it becomes possible to impinge the P liquid at earlier timing than the ink. In addition, since the image data for the inks is thinned, even by addition of the ejection head for the P liquid, printing can be performed without increasing the power source capacity. Also, by reciprocal printing, throughput in printing will never be lowered. In the shown comparative example, since ink is deposited after applying the P liquid for all of the pixels, high printing density can be obtained and high quality printed image quality with no fluctuation can be obtained. While the shown comparative example performs printing of the P liquid with the ejection data which is not thinned or curtailed, in scanning of the carriage in the forward direction, it is possible to thin the ejection data for P liquid. Fig. 28 shows a modification of the shown comparative example. Namely, in the first and third scanning cycles of the former embodiment, the ejection data for the P liquid is thinned into checkered pattern. Normally the amount of an ink droplet is designed to spread into greater area than the area given for each pixel. This is for completely covering the blank paper portion with respect to the region of 100% data. Even when only 50% of the pixel per se is printed, most of the region has been covered on the printing medium as shown in Fig. 29. Accordingly, when the checkered pattern in printed in the forward scan of the carriage in the first and third scanning cycle, most region is covered with the P liquid. Therefore, even not ejecting the P liquid when scanning in the reverse direction, sufficient water-resistance can be achieved. Also, by thinning of the ejection data for the P liquid, the consumed amount of the P liquid can be remarkably reduced. Thinning ratio of the P liquid is not specified. For instance, thinning may also be effected by thinning with the duty. Also, while the shown comparative example is designed to complete the image with two scanning cycles, it is possible to complete the image with any increased number of scanning cycles. Hereinafter, prescription of the printing ink and the P liquid will be designated. Y Ink Glycerine 5.0 wt.% Thiodiglycol 5.0 wt.% Urea 5.0 wt.% Acetylenol EH(KawaKen Fine Chemical) 1.0 wt.% Dyestuff, C.I. Direct Yellow 142 2.0 wt.% Water 82.0 wt.% M Ink Glycerine 5.0 wt.% Thiodiglycol 5.0 wt.% Urea 5.0 wt.% Acetylenol EH (KawaKen Fine Chemical) 1.0 wt.% Dyestuff, C.I. Acid Red 289 2.5 wt.% Water 81.5 wt.% C Ink Glycerine 5.0 wt.% Thiodiglycol 5.0 wt.% Urea 5.0 wt.% Acetylenol EH (KawaKen Fine Chemical) 1.0 wt.% Dyestuff, C.I. Direct Blue 199 2.5 wt.% Water 81.5 wt.% Bk Ink Glycerine 5.0 wt.% Thiodiglycol 5.0 wt.% Urea 5.0 wt.% Isopropyl alcohol 4.0 wt.% Dyestuff, Food Black 3.0 wt.% Water 78.0 wt.% Printing Property Improving Liquid (P Liquid) Polyarylamine hydrochloride 5.0 wt.% Benzalkonium chloride 1.0 wt.% Diethylene glycol 10.0 wt.% Acetylenol EH (KawaKen Fine Chemical) 0.5 wt.% Water 83.5 wt.% Here, while an example where dyes are used as coloring agent of Y, M, C, Bk inks is illustrated, the present invention is not specific to this. Namely, the coloring agent may be a pigment or a mixture of the pigment and dye. Also, an equivalent effect may be obtained by employing the optimal printing property improving liquid which may cause coagulation of the ink containing the coloring agent. (Fifth Comparative Example) Fig. 30 is a diagrammatic illustration for explaining the fifth comparative example of an ink-jet printing method. In Fig. 30, there is shown a manner of printing employing a heat with eight nozzles, for convenience of disclosure, similarly to the former comparative example. In the shown comparative example, the carriage 706 carrying the ink-jet printing heads for inks and the ejection head for the P liquid, shown in Fig. 24, performs printing of pixels for image data 311 in forward scanning by moving in the direction of the. arrow to print the ink image and P liquid image (first scanning cycle). At this time, since the heads are arranged on the carriage in the order of P liquid, Bk, C, M, Y from the right, each ink may impinge after impinging the P liquid at each pixel. Next, by the paper feeder roller, paper is fed by an amount corresponding to four pixels in the direction of arrow y. Thus the printing heads are relatively placed at the positions corresponding to the condition 312 in the drawing. From this condition, the carriage driving direction is reversed to move the head in the reverse direction opposite to the first scanning direction to perform a second scan. Thus, the image for four pixels are complemented and completed. At this time, the P liquid is not ejected, and only ink is ejected according to the image data thinned in the reversed or complementary checkered fashion. Thus, the image in the printing region of the head from the upper end of the image printing region is completed. Then, the paper is again fed by an amount corresponding to four pixels in the y direction by the feeder roller. Thus, the printing head is situated in the stand-by state at the position corresponding to the printing condition of 313. Then, by scanning the carriage in the direction of the arrow, printing is performed with the P liquid and the inks (third scanning cycle). Subsequently, a fourth scanning cycle similar to the second scanning cycle is performed. Since the shown comparative example is also adapted to impinge the ink at the position where the P liquid is printed, printed image density is high and a clean image,which has no nonuniformity caused by fluctuations due to tolerancesof the nozzle and line and so forth, can be obtained by divided printing. Furthermore, since the P liquid image is thinned to 50%, the consumed amount of the P liquid can be significantly reduced. Paying attention to the printed image of the P liquid, while it is not printed by divided printing, since the printing property improving liquid is substantially transparent or semi-transparent, no substantial influence will be perceptible. While the shown comparative example takes a stagger pattern in thinning of the image data, the thinning ratio is not specific to 50% and can be any appropriate duty ratio. Also, while the shown comparative example completes the image with two scans for the same region, it is possible to complete the image with greater number of scanning cycles. (Sixth Comparative Example) Fig. 31 is a diagrammatic illustration for showing the sixth comparative example of an ink-jet printing method. There is shown a manner of printing employing a head with eight nozzles, for convenience of disclosure. First, the carriage 706 carrying the ink-jet printing heads for inks and the ejection head for the P liquid performs printing of pixels for image data 321 in forward scanning by moving in the direction of the arrow to print the ink image and P liquid image (first scanning cycle). At this time, the P liquid data is not thinned and the ink image data is thinned for printing in checkered pattern. Since the heads are arranged on the carriage in the order of P liquid, Bk, C, M, Y from the right, each ink may impinge after impinging the P liquid at each pixel. Next, by the paper feeder roller, paper is fed in the opposite direction to the normal paper feeding direction by an amount corresponding to four pixels in the direction of arrow y. Thus the printing headsare relatively placed at the positions corresponding to the condition 322 in the drawing. From this condition, the carriage driving direction is reversed to move the head in the reverse direction opposite to the first scanning direction to perform a second scan. Thus, the image for four pixels are complemented and completed. Here, since the region to be printed in scanning in the reverse direction has already been printed in the scanning in the forward direction, the P liquid is applied for the pixels to be printed in the reverse scanning. Accordingly, the pixels to be printed in the reverse scanning are overlaid, with ink over the P liquid. Then, the paper is again fed by an amount corresponding to twelve pixels (total nozzle number + four pixels) in the y direction by the feeder roller. Thus, the printing head is situated in the stand-by state at the position corresponding to the printing condition of 323. Then, by scanning the carriage in the direction of the arrow, printing is performed with the P liquid and the inks (third scanning cycle). Subsequently, a fourth scanning cycle similar to the second scanning cycle is performed. In the shown comparative example; with respect to all pixels, the ink is deposited after application of the P liquid, high printing density can be obtained and high quality printed image with no nonuniformity can be obtained. Also, in comparison with former comparative examples since for the shown comparative example P liquid data is not thinned, therefore, for all pixels, the P liquid may be applied in advance of printing by the ink and image quality with no fluctuations can be obtained. While the shown comparative example performs printing of the P liquid with ejection data which is not thinned, in scanning of the carriage in the forward direction, it is possible to thin the ejection data for P liquid. Fig. 32 shows a modification of the shown comparative example. Namely, in the first and third scanning cycles of the former comparative example, the ejection data for the P liquid is thinned into a checkered pattern. As set forth with respect to the fourth comparative example, even when only 50% of the pixels per se are printed, sufficient water-resistance can be achieved. Also, by thinning of the ejection data for the P liquid, the consumed amount of the P liquid can be remarkably reduced. The thinning ratio of the P liquid is not specific For instance, thinning may also be effected by thinning with the duty. Also, while the shown embodiment is designed to complete the image with two scanning cycles, it is possible to complete the image with any increased number of scanning cycles. (Seventh Comparative Example) The shown comparative example is directed to a two-pass printing system employing an ink-jet printing apparatus as shown in Figs. 19 to 23. Fig. 33 is an illustration of a printing process with two-pass printing. In Fig. 33, the printing medium 106 is A4 size plain paper. The head unit moves relatively thereabove while performing printing. In Fig. 33, S denotes ejection openings for the printing property improving liquid located at the rightmost position and aligned vertically. Similarly, Bk, C, M and Y respectively denote ejection openings for Bk, C, M and Y inks. The head unit 103 performs a printing operation in the forward direction shown by arrow X1 and a printing operation in the reverse direction shown by arrow X2. In the drawing, numbers 1, 2, 3 and 4 at the right-hand side are the numbers of printing operations performed by the head unit 103 in the main scanning direction. Parentheses () of the number represent printing ranges in the printing operation. In Fig. 33, there is illustrated a condition at the fourth scanning operation. Since the printing operation is performed by scanning twice with respect to the unit printing region, it is generally referred to as two-pass printing. On the other hand, since the printing operation is performed both in forward scanning and reverse scanning, it becomes two pass bidirectional printing. Figs. 34A, 34B, 34C, 34D and 34E respectively show a mask for ejection data of the printing property improving liquid S, and masks for printing data of Y, M, C Bk inks. Fig. 34A is a mask of the ejection data of the printing property improving liquid S (hereinafter simply referred to as "S mask") for the first pass, Fig. 34B is the S mask in the second pass. Fig. 34C is an explanatory illustration showing a matrix Ms1 set in the printing region. Fig. 34D shows a mask of the printing data for Y, M, C, Bk inks for the first pass. Fig. 34E shows a mask of the printing data for Y, M, C, Bk inks for the second pass. The respective masks of Figs. 34A, 34B, 34C and 34D correspond to four pixels in the X direction as the main scanning direction and two pixels in Y direction as the secondary scanning direction (4x2 pixels). In Figs. 34A to 34E, the minimum grid is the minimum printing pixel. The S mask takes a matrix Ms1 of Fig. 34C as a basic matrix. With respect to this matrix Ms1 as unit, the ejection data (hereinafter referred to "S data") for the printing property improving liquid is determined. The element of the matrix Ms1 is for eight pixels of m11, m12, m13, m14, m22, m23 and m24. Accordingly, the actual size of the matrix Ms1 is for four pixels (about 70 µm x 4), and two pixels (about 70 µm x 4) in the Y direction. Hereinafter the process for generating the S data will be discussed. First, in the first pass, in relation to the printing data of the Y ink (hereinafter sometimes simply referred to as "Y printing data"), the S data Ms1-Y1 of Fig. 34A is determined. Namely, with respect to Ms1, a sub-matrix of m11, m12, m21, m22 (2 x 2) is considered. When Y printing data (hereinafter referred to as "Y data") for ejecting the Y ink is present in any one of m11, m12, m21, m22, the S data corresponding to m11 is set to be ON (eject the printing property improving liquid S). If no Y ejection data is present in any of the m11, m12, m21, m22, the S data corresponding to ma is set at OFF (not eject the printing property improving liquid S). In S data Ms1-Y1, the S data corresponding to m12, m21, m22 are always OFF. Also, the S data corresponding to m13, m14, m23 and m24 are always held to zero. Thus, the S data Ms1-Y1 for the first pass corresponding to the Y data is determined. Similarly, in relation to the M ink printing data (hereinafter referred to as "M printing data") the S data Ms1-M1 of Fig. 34A is determined. Namely, with respect to Ms1, a sub-matrix of m11, m12, m21, m22 (2 x 2) is considered. When M printing data (hereinafter referred to as "Y data") for ejecting the M ink is present in any one of m11, m12, m21, m22, the S data corresponding to m12 is set to be ON (eject the printing property improving liquid S). If no Y ejection data is present in any of the m11, m12, m21, m22, the S data corresponding to may is set at OFF (not eject the printing property improving liquid S). In S data Ms1-M1, the S data corresponding to m12, m21, m22 are always OFF. Also, the S data corresponding to m13, m14, m23 and m24 are always held to zero. Thus, the S data Ms1-M1 for the first pass corresponding to the M data is determined. Similarly, in relation to the C ink printing data (hereinafter referred to as "M printing data")the S data Ms1-C1 of Fig. 34A is determined. Namely, with respect to Ms1, a sub-matrix of m11, m12, m21, m22 (2 x 2) is considered. When C printing data (hereinafter referred to as "C data") for ejecting the C ink is present in any one of m11, m12, m21, m22, the S data corresponding to m22 is set to be ON (eject the printing property improving liquid S). If no C ejection data is present in any of the m11, m12, m21, m22, the S data corresponding to may is set at OFF (not eject the printing property improving liquid S).. In S data Ms1-C1, the S data corresponding to m12, m21, m22 are always OFF. Also, the S data corresponding to m13, m14, m23 and m24 are always held to zero. Thus, the S data Ms1-C1 for the first pass corresponding to the M data is determined. Similarly, in relation to the Bk ink printing data (hereinafter referred to as "Bk printing data")the S data Ms1-Bk1 of Fig. 34A is determined. Namely, with respect to Ms1, a sub-matrix of m11, m12, m21, m22 (2 x 2) is considered. When Bk printing data (hereinafter referred to as "Bk data") for ejecting the Bk ink is present in any one of m11, m12, m21, m22, the S data corresponding to m21 is set to be ON (eject the printing property improving liquid S). If no Bk ejection data is present in any of the m11, m12, m21, m22, the S data corresponding to may is set at OFF (not eject the printing property improving liquid S). In S data Ms1-Bk1, the S data corresponding to m12, m21, m22 are always OFF. Also, the S data corresponding to m13, m14, m23 and m24 are always held to zero. Thus, the S data Ms1-Bk1 for the first pass corresponding to the M data is determined. Then, the S data for the first pass is generated as a logical sum of Ms1-Y1, Ms1-M1, Ms1-C1 and Ms1-Bk1 corresponding to the printing data of Y, M, C, Bk. In the second pass, in relation to the printing data of the Y ink (hereinafter sometimes simply referred to as "Y printing data"), the S data Ms1-Y2 of Fig. 34B is determined. Namely, with respect to Ms1, a sub-matrix of m13, m14, m23, m24 (2 x 2) is considered. When Y printing data (hereinafter referred to as "Y data") for ejecting the Y ink is present in any one of m13, m14, m23, m24, the S data corresponding to m13 is set to be ON (eject the printing property improving liquid S). If no Y ejection data is present in any of the m13, m14, m23, m24, the S data corresponding to ma is set at OFF (not eject the printing property improving liquid S). In S data Ms1-Y2, the S data corresponding to m14, m23, m24 are always OFF. Also, the S data corresponding to m11, m12, m21 and m22 are always held to zero. Thus, the S data Ms1-Y2 for the second pass corresponding to the Y data is determined. Similarly, the second pass S data Ms1-M2, Ms1-C2 and Ms1-Bk2 are determined corresponding to M, C, Bk. The S data for the first pass is generated as a logical sum of Ms1-Y2, Ms1-M2, Ms1-C2 and Ms1-Bk2 corresponding to the printing data of Y, M, C, Bk. These S data is generated in real time by processing the data to be printed by a program stored in CPU 402 when the CPU 402 accesses the memory portion 403 storing the data to be printed and feeding the fed out data to the head control portion 410. S data is also fed to the head control portion 410 in a manner similar to the printing data for the respective color inks. Then, on the basis of the S data and the printing data of the respective colors, the head 102 is driven at the position corresponding to the printing position to be printed to eject the printing property improving liquid and respective color inks. Thus, while the S data is generated by the internal program, the manner of generation of the S data is not limited to the disclosed procedure. It is possible to preliminarily process the S data in the host computer and then feed it to the printing apparatus to transfer it to the printing process. As an alternative, it is possible to provide a hardware portion for implementing the arithmetic processing of the S data in the printing apparatus. In the shown comparative example, the sub-matrix on the left side (2 x 2) of the matrix Ms1 is used for generation of S data for the first pass and the sub-matrix on the right side (2 x 2) of the matrix Ms1 is used for generation of the S data for the second pass. Thus, by dividing the matrix for (4 x 2) pixels into two sub-matrixes of (2 x 2) pixels, and by making these sub-matrixes correspond to different passes, the printing property improving liquid S may be uniformly ejected in the first and second passes in the two pass printing system. Thus, there is no non-uniformity of ejection of the printing property improving liquid S, such as all of the printing property improving liquid S being ejected in the first pass and no printing property improving liquid being ejected in the second pass, or most printing property improving liquid S being ejected in the first pass and little printing property improving liquid being ejected in the second pass, and so forth. Such uniform ejection of the printing property improving liquid S in every pass results in uniform mixing of the printing property improving liquid and the ink, to cause uniform reaction having the effect to be obtained from the mixing or reaction of the printing property improving liquid and the ink. Concretely, there can be avoided the nonuniformity, wherein ink ejected to the pixels in the first pass has water-resistance and the ink of the pixels printed in the second pass has no water-resistance and so forth. Therefore, in all of the printed pixels, satisfactory water-resistance can be obtained. On the other hand, the mask of the printing data of Y, M, C, Bk corresponds to the matrix Ms1 of (4 x 2) pixels, and, in each ink, the first pass and second pass are in complementary relationship. In Figs. 34A to 34E, the pixels corresponding to a white portion are turned ON if the ejection data of the corresponding ink is present (ink ejected) and otherwise turned OFF (ink not ejected) Also, in Figs. 34D and 34E, the pixels corresponding to black portion are held OFF irrespective of the printing data of the corresponding ink. On the other hand, as viewed in micro view, with respect to the printing medium, there are portions (SI portions) where the printing property improving liquid S is first ejected and then the ink is ejected and portions (IS portions) where the ink is first ejected and then the printing property improving liquid is ejected. This may cause different hues at the SI portion and the IS portion due to difference of the processing liquid. However, as set forth above, because of the difference of the masks for the S data and the printing data for respective color inks, the SI portions and the IS portions may be distributed uniformly in macro view. Therefore, the printing image with uniform hue can be obtained. Furthermore, in printing employing a plurality of colors of inks, by differentiating the masks for each of the S data and the printing data for each ink, the printing property improving liquid S can be distributed uniformly. Therefore, with respect to each ink, a uniform effect of the printing property improving liquid can be attained. Here, assuming that the printing property improving liquid S is ejected for only specific pixels and then the ink is ejected, and the printing property improving liquid S is again ejected, the printing property improving liquid S may be ejected twice for the same pixel. Such double ejection at the same pixel is inherent to obtain a satisfactory effect. However, it is desirable that the printing property improving liquid is dispersed per pixel. Therefore, as in the shown comparative example, in each individual pixel, by making the logical product of the S data for the first and second pass zero, namely the number of ejection of the printing property improving liquid is once per each pixel is made once to solve the problem. On the other hand, since the logical product of the S data per pixels in the first pass becomes zero and, similarly, the logical product of respective pixels in the second pass becomes zero. Therefore, the S data corresponding to the printing data of respective ink is dispersed to make the effect which can be obtained by mixing and reacting the ink and the printing property improving liquid, can be uniform. Since the logical product of the S data of respective pixels in the first and second passes are zero and the logical product of respective pixels in each pass is also zero, remarkable effect can be attained by mixing and causing reaction. Here, concerning ejection of respective Y, M, C, Bk inks, in case of a uniform printing region of a single color ink, the printing property improving liquid S is ejected in the ratio of 25% of the pixels. This is for equivalent effect in terms of the water-resistance and so forth in comparison with the ratio of 100%. As regards ejecting the printing property improving liquid which is unnecessary for formation of the image, minimizing the amount of the printing property improving liquid S is effective in reducing the running cost. Also, when the printing property improving liquid, being a liquid, is ejected in large amounts onto the printing medium 106 as shown in Fig. 19, the printing medium may cause waviness by absorbing large amount of the printing property improving liquid S. Such waviness not only degrades the quality of the printed product, but also, particularly in multi-pass printing, may cause variation in the distance between the head 102 and the printing medium 106, causing displacement of the impingement position of respective inks on the printing medium and so causing degradation of the printing quality. Therefore, it is desirable to eject the printing property improving liquid S in the minimum amount. Assuming that data processing is arranged to eject the printing property improving liquid S at a ratio of 25% with respect to the logical sum of the printing data of Y, M, C, Bk, this implies ejection of printing property improving liquid S in the ratio of 12.5% with respect to the secondary colors of R (red), G (green) and B (blue), combining respective two of the primary colors, and the mixture ratio of the printing property improving liquid and the ink is excessively reduced, lowering water-resistance as the effect of the printing property improving liquid S. Therefore, as in the shown comparative example, the mask for the S data corresponding to the printing data of Y, M, C is differentiated at least to make the logical product per each pixel zero, namely, by making all of the logical product of the data Ms1-Y1, Ms1-M1, Ms1-Y1 and Ms1-Bk1 per pixel zero and by making all of the logical product of the data Ms1-Y2, Ms1-M2, Ms1-Y2 and Ms1-Bk2 per pixel zero, by ejecting the printing property improving liquid at a ratio of 25% to mix the printing property improving liquid and the ink in the equal ratio. On the other hand, in the shown comparative example, while the logical product of the S data per pixel is set to zero, it may be possible to include pixels which have non-zero logical products in small number. By restricting such pixels to a minimum, the printing property improving liquid and ink may be mixed substantially uniformly. As set forth above, instead of simply determining the S data on the basis of the logical sum of the printing data of Y, M, C but determining consideration of the logical sum per pixel, the S data for secondary colors can be greater than 1/2 of the duty of the S data for the primary color. Also, by setting the S data maximum at the same duty to the S data of the primary color, in comparison with deriving the S data from the logical sum of Y, M, C,, the duty of the S data in the secondary color can be increased to enhance the effect of the printing property improving liquid in the secondary color. Using four color inks and generating 25%-duty S data as in this comparative example is also advantageous in terms of data processing. Generally, the duty of (1/2n) x 100%, where n is an integer equal to or greater than 1, facilitates computation on the part of the processing device. In this comparative example that uses four color inks, the 25% duty therefore offers an advantage of being able to prepare independent S data masks for print data of each color ink. By generating S data with 25% duty or less for each color, it is possible to make zero the logical product of S masks for individual colors. The duty should be made as small as possible, as long as there is an effect of the printing property improving liquid. In the head 102 of Fig. 21 having multiple ejecting ports 23 for each ink and printing property improving liquid S, it is possible to extend the life of the printing property improving liquid ejecting head portion by using the ejecting ports 23 for the printing property improving liquid S uniformly during the multi-pass printing. Further, if there are manufacture-related variations in the printing property improving liquid ejecting ports 23, the printing property improving liquid S can be ejected onto the print medium 106 uniformly. If the S data were to be determined based simply on logical sum among the print data of Y, M, C and Bk, certain particular printing property improving liquid ejecting ports 23 that perform printing prior to others would have a greater frequency of use. That is, in spite of the multi-pass printing, the printing property improving liquid S is very likely to be ejected in the first pass, shortening the life of those particular printing property improving liquid ejecting ports with higher priority. In the first pass of printing, variations in the amount of printing property improving liquid S delivered from the ejecting ports 23 and deviations in the ejecting direction manifest themselves on the print medium. That is, it is impossible to divide the print operation into a multiple number of operations to cancel variations in the amount of printing property improving liquid S delivered from the ejecting ports and deviations in the ejecting direction. These problems are solved by this invention. Hereinafter, prescription of the printing ink and the printing property improving liquid S will be designated. Y (Yellow) Ink Glycerine 5.0 wt.% Thiodiglycol 5.0 wt.% Urea 5.0 wt.% Isopropyl alcohol 4.0 wt.% Acetylenol EH (KawaKen Fine Chemical) 1.0 wt.% Dyestuff, C.I. Direct Yellow 142 2.0 wt.% Water 78.0 wt.% M (Magenta) Ink Glycerine 5.0 wt.% Thiodiglycol 5.0 wt.% Urea 5.0 wt.% Isopropyl alcohol 4.0 wt.% Acetylenol EH (KawaKen Fine Chemical) 1.0 wt.% Dyestuff, C.I. Acid Red 289 2.5 wt.% Water 77.5 wt.% C (Cyan) Ink Glycerine 5.0 wt.% Thiodiglycol 5.0 wt.% Urea 5.0 wt.% Isopropyl alcohol 4.0 wt.% Acetylenol EH (KawaKen Fine Chemical) 1.0 wt.% Dyestuff, C.I. Direct Blue 199 2.5 wt.% Water 77.5 wt.% Bk (Black) Ink Glycerine 5.0 wt.% Thiodiglycol 5.0 wt.% Urea 5.0 wt.% Isopropyl alcohol 4.0 wt.% Dyestuff, Food Black 3.0 wt.% Water 78.0 wt.% Printing Property Improving Liquid S Polyarylamine hydrochloride 5.0 wt.% Benzalkonium chloride 1.0 wt.% Diethylene glycol 10.0 wt.% Acetylenol EH (KawaKen Fine Chemical) 0.5 wt.% Water 83.5 wt.% As set forth above, 1.0 % of Acetylenol EH as a surfactant is added to the Y, M and C inks to increase their ability to penetrate the printing medium. Therefore, the Y, M and C inks have an advantage in fixing ability to the printing medium in comparison with the Bk ink. On the other hand, the Bk ink has low penetrating ability but shows high optical density and high sharpness of edge in a printed image. Therefore, the Bk ink is suitable for printing a character and a line. 0.5 % of Acetylenol EH is added to the printing property improving liquid to slightly increase the penetrating ability. Ink usable for carrying out the present invention should not be limited only to dyestuff ink, and pigment ink having pigment dispersed therein can also be used. Any type of treatment liquid can be used, provided that pigment is aggregated with it. The following pigment ink can be noted as an example of pigment ink adapted to undergo aggregation by mixing with the liquid P previously discussed. As mentioned below, yellow ink Y2, magenta ink M2, cyan ink C2 and black ink K2 each containing pigment and anionic compound can be obtained. [Black ink K2] The following materials are poured into a batch type vertical sand mill (manufactured by Aimex Co.), glass beads each having a diameter of 1 mm are filled as medium using anion based high molecular weight material P-1 (aqueous solution containing a solid ingredient of styrene methacrylic acid ethylacrylate of 20 % having an acid value of 400 and average molecular weight of 6000, neutralizing agent : potassium hydroxide) as dispersing agent to conduct dispersion treatment for three hours while water-cooling the sand mill. After completion of dispersion, the resultant mixture has a viscosity of 9 cps and pH of 10.0. The dispersing liquid is poured into a centrifugal separator to remove coarse particles, and a carbon black dispersing element having a weight-average grain size of 10 nm is produced. (Composition of carbon black dispersing element) P-1 aqueous solution (solid ingredient of 20 %) 40 parts Carbon black Mogul L (prepared by Cablack Co.) 24 parts Glycerine 15 parts Ethylene glycol monobutylether 0.5 parts Isopropyl alcohol 3 parts Water 135 parts Next, the thus obtained dispersing element is sufficiently dispersed in water, and black ink K2 containing pigment for ink jet printing is obtained. The final product has a solid ingredient of about 10 %. [Yellow ink Y2] Anionic high molecular P-2 (aqueous solution containing a solid ingredient of 20 % of styrene-acrylic acid methyl methacrylate having an acid value of 280 and an average molecular weight of 11,000, neutralizing agent : diethanolamine) is used as a dispersing agent and dispersive treatment is conducted in the same manner as for production of the black ink K2 whereby yellow color dispersing element having a weight-average grain size of 103 nm is produced. (composition of yellow dispersing element) P-2 aqueous solution (having a solid ingredient of 20 %) 35 parts C. I. pigment yellow 180 (tradename: Nobapalm yellow PH-G, prepared by Hoechst Co.) 24 parts Triethylene glycol 10 parts Diethylene glycol 10 parts Ethylene glycol monobutylether 1.0 parts Isopropyl alcohol 0.5 parts Water 135 parts The thus obtained yellow dispersing element is sufficiently dispersed in water to obtain yellow ink Y2 for ink jet printing and having pigment contained therein. The final product of ink contains a solid ingredient of about 10 %. [Cyan ink C2] Cyan colored-dispersing element having a weight-average grain size of 120 nm is produced using anionic high molecular P-1 as dispersing agent, and moreover, using the following materials by conducting dispersing treatment in the same manner as for the carbon black dispersing element. (composition of cyan colored-dispersing element) P-1 aqueous solution (having solid ingredient of 20 %) 30 parts C. I. pigment blue 153 (trade-name : Fastogen blue FGF, prepared by Dainippon Ink And Chemicals, Inc.) 24 parts Glycerine 15 parts Diethylene glycol monobutylether 0.5 parts Isopropyl alcohol 3 parts Water 135 parts The thus obtained cyan colored dispersing element is sufficiently stirred to obtain cyan ink C2 for ink jet printing and having pigment contained therein. The final product of ink has a solid ingredient of about 9.6 %. [Magenta ink M2} Magenta color dispersing element having a weight-average grain size of 115 nm is produced by using the anionic high molecular P-1 used when producing the black ink K2 as dispersing agent, and moreover, using the following materials in the same manner as that in the case of the carbon black dispersing agent. (composition of the magenta colored dispersing element) P-1 aqueous solution (having a solid ingredient of 20 %) 20 parts C. I. pigment red 122 (prepared by Dainippon Ink And Chemicals, Inc.) 24 parts Glycerine 15 parts Isopropyl alcohol 3 parts Water 135 parts Magenta ink M2 for ink jet printing and having pigment contained therein is obtained by sufficiently dispersing the magenta colored dispersing element in water. The final product of ink has a solid ingredient of about 9.2 %. In mixing of the printing property improving liquid and the ink as set forth above, as a result of mixing of the printing property improving liquid and the ink on the printing medium or at a position penetrating the printing medium to a certain extent, as the first stage of reaction,alow molecule component or cation type oligomer in the cation type substance contained in the printing property improving liquid associates by ionic interaction with an anion-type compound used in the water soluble dyestuff or pigment ink having an anion type group, causing separation from the solution phase instanteously. As a result, dispersion break-down is caused in the pigment ink to form the coagulated body of the pigment. Next, as the second stage of reaction, an association body of the above-mentioned dyestuff and the low molecule cation type substance or cation type oligomer or coagulated body of the pigment is absorbed by high molecule components included in the printing property improving liquid. Therefore, the coagulated body of the dyestuff or the coagulated body of the pigment caused by association further increases in size to become difficult to penetrate into the gap between the fibers of the printing medium. As a result, only the liquid portion resulting from the solid/liquid separation penetrates into the printing paper, and both printing quality and sensibility can be achieved. At the same time, viscosity of the coagulated body formed from the low molecule component of the cation substance or cation type oligomer, anion type dyestuff and cation type substance, or the coagulated body of the pigment is increased to so as not to move with movement of the liquid medium. Therefore, even when the adjacent ink dots are formed with different colors as in formation of a full color image, the color cannot mix with each other. Therefore, bleeding is not caused. Also, since the coagulated body is essentially water insoluble, the moisture resistance of the formed image becomes complete. Also, color fastness to light of the formed image can be improved by the shielding effect of the polymer. The words "insoluble" or "coagulate" are used in the present specification to mean, in some examples only the first stage, and in other examples both of the first and second stages, of the phenomenon in which a coloring agent, such as the dyestuff and the pigment, is made insoluble or coagulate. On the other hand, since it is unnecessary to use cation high molecular substances having large molecule or polyvalent metal, or even when it is necessary to use such cation high molecular substances having large molecule or polyvalent metal salt, their use is merely auxiliary, the amount used can be minimized. As a result, the problem of lowering the color development of dyestuff, encountered when an attempt is made to obtain the moisture resistant effect using a conventional cation type high molecular substance or polyvalent metal salt, can be avoided. It should be noted that the kind of . printing medium is not specified in implementation of the present invention, and conventionally used plain paper, such as copy paper, bond paper and so forth is suitable for use. Of course, a coated paper specially prepared for ink-jet printing, transparent film for OHP and so forth may also be used. Also, general wood free paper, glossy paper and so forth may also used. (Eighth Comparative Example) In the seventh comparative example, the print data of 2 x 2 pixels on the left-hand side of the matrix Ms1 in Figs. 34A to 34C was used for generating S data for the first pass of printing and the print data of 2 x 2 pixels on the right-hand side was used for generating S data for the second pass of printing. The S data generation is not limited to this arrangement. For example, the matrix Ms1 may be divided into a plurality of sub-matrices, which may be printed in different passes to deliver the printing property improving liquid S uniformly. Figs. 35A, 35B and 35C show other examples of S data masks used in the 2-pass printing. Generation of the first-pass S data Ms2-Y1 and MS2-M1 corresponding to Y and M print data uses the print data of 2 x 2 pixels on the left-hand side; and generation of the first-pass S data Ms2-C1 and MS2-Bk1 corresponding to C and Bk print data uses the print data of 2 x 2 pixels on the right-hand side. The second pass uses the print data on the opposite side. This arrangement allows generation of more uniformly distributed S data for all Y, M, C and Bk inks than can the previous embodiment 12. (Ninth Comparative Example) The seventh comparative example showed the method of realizing uniform ejection of the printing property improving liquid S in the 2-pass printing. Other printing arrangements are possible, and this comparative example is valid for any multi-pass printing of two or more passes, such as 4-pass and 8-pass printings. Figs. 36A, 36B, 36C and 36D show S data masks for 4-pass printing. Fig. 36A represents S data masks for a first pass of printing; Fig. 36B represents those for a second pass; Fig. 36C represents those for a third pass; and Fig. 36D represents those for a fourth pass. Here, the matrix Ms3 of 4 x 4 pixels is divided into four sub-matrices for each ink, each sub-matrix consisting of 2 x 2 pixels. These sub-matrices are printed by different passes, thereby making it possible to eject the printing property improving liquid S uniformly for each ink during the 4-pass printing. As to the S data corresponding to the Y print data, the sub-matrix of 2 x 2 pixels at the upper left in the matrix Ms3 is used to generate the S data MS3-Y1 for the first pass of printing; the sub-matrix of 2 x 2 pixels at the upper right is used to generate the S data Ms3-Y2 for the second pass; the sub-matrix of 2 x 2 pixels at the lower right is used to generate the S data Ms3-Y3 for the third pass; and the sub-matrix of 2 x 2 pixels at the lower left is used to generate the S data Ms3-Y4 for the fourth pass. As to the S data corresponding to the M, C and Bk print data, the sub-matrix used is shifted clockwise inside the matrix in the succeeding passes as shown in Figs. 36A to 36D. In each 2 x 2-pixel sub-matrix, the position where the S data is ON is set at the upper left for Y print data, at the upper right for M print data, at the lower right for C print data, and at the lower left for Bk print data. In generating the S data corresponding to the Y print data for the first pass, for example, if there is a Y ejection data in any of the m11, m12, m21 and m22 of the upper left 2 x 2-pixel sub-matrix in the 4 x 4-pixel matrix Ms2, the S data at the position of m11 is turned ON, and the S data at other positions m12, m21, m22 are turned OFF. Similar data processing is also performed for M, C and Bk. These data Ms3-Y1, Ms3-M1, Ms3-C1 and Ms3-Bk1 are logically summed to form S data for the first pass of printing. For the second to fourth pass, similar data processing is carried out. Here, the mask configuration for the Y, M, C and Bk print data does not matter. (Tenth Comparative Example) In the case of uniform printing of Y, M, C and. Bk inks over an entire print region, the seventh comparative example delivers the printing property improving liquid S onto 25% of the pixels of the print region. The comparative example, however, is not limited to this arrangement. If the Y, M, C and Bk inks are not uniformly printed over the entire print region but are printed sparsely on the pixels, the percentage of the printing property improving liquid S delivered in terms of pixels may become greater than 25% on average. As to the S data corresponding to the Y print data of the first pass in Fig. 34A, for example, if there are at least two Y ejection data in the four pixels m11, m12, m21 and m22, then S data at m11 is turned ON. If at least two Y ejection data do not exist in these four pixels, the S data at m11 is turned OFF. Other S data at m12, m21 and m22 are always turned OFF. And S data at m13, m14, m23 and m24 also are always turned OFF. In this way, the first-pass S data Ms1-Y1 corresponding to the Y ink data is determined. The sub-matrix consists of 2 x 2 pixels, and whether there are at least two Y ejection data in that sub-matrix is taken as a condition for turning the S data ON. This is equivalent to adopting the condition of whether the percentage of the Y ejection data in the sub-matrix is 50% or more. Similarly, the first-pass S data corresponding to the M, C, and Bk print data are also prepared and the logical sum of these four S data is taken as the final S data for the first pass of the printing operation. The second-pass S data is also generated in the same way. In this way, by turning the S data ON or OFF for each ink according to the percentage of the ink ejection data within the sub-matrix, it is possible not to increase the average amount of the printing property improving liquid S delivered even in the sparsely printed area. Although the percentage of the ink ejection data used as the decision criterion for turning the S data ON or OFF is set at 50% in this example, it can be set at an optimal value depending on the characteristic of each ink and printing property improving liquid S. When the ink of the former comparative example is used, a satisfactory effect was obtained by setting the percentage at 25-75%. (Eleventh Comparative Example) In the case of uniform printing of Y, M, C and Bk inks over an entire print region, the seventh comparative example delivers the printing property improving liquid S onto 25% of the pixels of the print region. The comparative example, however, is not limited to this arrangement. Depending on the characteristics of the inks and the printing property improving liquid S used, the printing property improving liquid S may be ejected at 50% of the pixels for each ink. Figs. 37A, 37B and 37C show the S data masks when the printing property improving liquid S is ejected at 50% of the pixels for each ink. This example represents a case of 2-pass printing. Fig. 37A represents an S data mask for the first pass; Fig. 37B represents an S data mask for the second pass; and Fig. 37C shows matrices Ms4 set in the print region. The first- and second-pass masks for the Y, M, C and Bk print data may be similar to those of the former comparative example. The S data mask corresponds in size to a matrix Ms4 of 4x2 pixels, which measures four pixels in X direction or main scan direction and two pixels in Y direction or sub-scan direction perpendicular to X direction. The minimum squares in the Figure represent unit print elements. The S data mask is determined by using the matrix Ms4 as its basic matrix. The matrix Ms4 consists of eight pixels m11, m12, m13, m14, m21, m22, m23, and m24. Therefore, the actual size of the matrix Ms4 is about 70µm x 4 in X direction and about 70 µm x 2 in Y direction. Here, the process of generating the S data is explained below. In the first pass, the S data corresponding to Y print data is generated as follows. If, in a left sub-matrix of 2 x 2 pixels, m11, m12, m21, m22 in the matrix Ms4, there is at least two (=N4) Y ejection data, the S data at M11 and M12 are turned ON (printing property improving liquid S is ejected), with other pixels m13, m14, m21, m22, m23, m24 turned off (printing property improving liquid S is not ejected). When two (=N4) or more Y ejection data do not exist, the S data at all sub-matrix pixels m11-m24 are turned OFF. In this way, the first-pass S data Ms4-Y1 for Y print data is determined. Likewise, the S data corresponding to M print data is generated as follows. If there are at least two (=N4) M ejection data in the left sub-matrix made up of m11, m12, m21 and m22, the S data at m12 and m22 are turned ON, with other pixels m11, m13, m14, m21, m23, m24 turned OFF. If two (=N4) or more M ejection data do not exit, the S data at all sub-matrix pixels m11-m24 are turned OFF. In this way, the first-pass S data Ms4-M1 for M print data is determined. Similarly, as to the S data corresponding to C print data, when there are at least two (=N4) C ejection data in the right sub-matrix made up of m13, m14, m23 and m24, the S data at m23 and m24 are turned ON, with other pixels m11, m12, m13, m14, m21, m22 turned OFF. If two (=N4) or more C ejection data do not exit, the S data at all sub-matrix pixels m11-m24 are turned OFF. In this way, the first-pass S data Ms4-C1 for C print data is determined. Similarly, the S data corresponding to Bk print data is generated as follows. When there is at least two (=N4) Bk ejection data in the right sub-matrix made up of m13, m14, m23 and m24, the S data at m13 and m23 are turned ON, with other pixels m11, m12, m14, m21, m22, m24 turned OFF. If two (=N4) or more Bk ejection data do not exit, the S data at all sub-matrix pixels m11-m24 are turned OFF. In this way, the first-pass S data Ms4-Bk1 for Bk print data is determined. Then, these S data Ms4-Y1, Ms4-M1, Ms4-C1, Ms4-Bk1 corresponding to Y, M, C and Bk inks are logically summed to produce the final first-pass S data for all inks. In the second pass of the printing operation, the S data corresponding to Y print data is generated as follows. When there is at least two (=N4) Y ejection data in the right sub-matrix made up of m13, m14, m23 and m24, the S data at m13 and m14 are turned ON, with other pixels m11, m12, m21, m22, m23, m24 turned OFF. If two (=N4) or more Y ejection data do not exit, the S data at all sub-matrix pixels m11-m24 are turned OFF. In this way, the second-pass S data Ms4-Y2 for Y print data is determined. Similarly, the S data corresponding to M print data is generated as follows. When there is at least two (=N4) M ejection data in the right sub-matrix made up of m13, m14, m23 and m24, the S data at m14 and m24 are turned ON, with other pixels m11, m12, m13, m21, m22, m23 turned OFF. If two (=N4) or more M ejection data do not exit, the S data at all sub-matrix pixels m11-m24 are turned OFF. In this way, the second-pass S data Ms4-M2 for M print data is determined. Similarly, the S data corresponding to C print data is generated as follows. When there is at least two (=N4) C ejection data in the left sub-matrix made up of m11, m12, m21 and m22, the S data at m21 and m22 are turned ON, with other pixels m11, m12, m13, m14, m23, m24 turned OFF. If two (=N4) or more C ejection data do not exit, the S data at all sub-matrix pixels m11-m24 are turned OFF. In this way, the second-pass S data Ms4-C2 for C print data is determined. Similarly, the S data corresponding to Bk print data is generated as follows. When there is at least two (=N4) Bk ejection data in the left sub-matrix made up of m11, m12, m21 and m22, the S data at m11 and m21 are turned ON, with other pixels m12, m13, m14, m22, m23, m24 turned OFF. If two (=N4) or more C ejection data do not exit, the S data at all sub-matrix pixels m11-m24 are turned OFF. In this way, the second-pass Bk data Ms4-Bk2 for Bk print data is determined. Then, these S data Ms4-Y2, Ms4-M2, Ms4-C2, Ms4-Bk2 corresponding to Y, M, C and Bk inks are logically Summed to produce the final second-pass S data for all inks. While this example adopts N4=2, it is possible to use N4=3 or N4=4 depending on the characteristics of the printing property improving liquid and inks used. Further, although in the above comparative example the generation of S data corresponding to Y and M print data uses the left sub-matrix for the first pass and the right sub-matrix for the second pass as the pixels of interest and the generation of S data corresponding to C and Bk print data uses the right sub-matrix for the first pass and the left sub-matrix for the second pass as the pixels of interest, either sub-matrix can be used. It is also possible to use different pixels of interest for different colors. (Twelfth Comparative Example) While in the precedingcomparative examples and embodiments of the invention, the head 102 has a plurality of ink ejecting head portions and a printing property improving liquid ejecting head portion arranged in the main scan direction, other arrangements are also possible. For example, the plurality of ink ejecting head portions and the printing property improving liquid ejecting head portion may be arranged in the sub-scan direction. Fig. 38 shows another configuration of the head 102, in which the Y, M and C ink ejecting head portions are arranged in the sub-scan direction (P) and in which the printing property improving liquid ejecting head portion and the Bk ink ejecting head portion are arranged in the main scan direction (Q). In this head 102, too, the relation between the ink and printing property improving liquid ejecting head portions and the print pixels is the same as that of the previous comparative examples and embodiments of the invention, except that the Y, M and C ink ejecting heads do not print on the same print positions during the same main scan. Through a plurality of main scan operations and the feeding operations of the print medium 106 in the sub-scan direction, however, the ejecting of Y, M, C and Bk inks and printing property improving liquid S produces the same result on the pixels as in the head 102 as shown in Fig. 21 and therefore does not depend on the arrangement of the ink ejecting head portions and the printing property improving liquid ejecting head portion. Although in the preceding comparative examples and embodiments of the invention the head 102 is provided with a heating body 30 as an electricity-heat conversion element, the inks and printing property improving liquid S may be ejected by using, for example, an electro-mechanical conversion element. Fig. 39 shows an example configuration of the head that uses an electro-mechanical conversion element. Reference numeral 38 denotes a piezoelectric element as an electro-mechanical conversion element. In other aspects, any desired configuration may be employed. While the preceding comparative examples and embodiments of the invention adopt a so-called multi-pass printing system in which the print inks are ejected onto the same region of a printing medium by a plurality of scanning operation, the invention can be applied to the single pass printing system. Fig. 40 shows the printing process of this comparative example. When the printing operation is started, the head 31 ejects the printing property improving liquid onto the locations corresponding to the number of dots of each color ink, followed by the ejecting from the Bk head 30K, and then by the ejecting from the Y, M and C heads 30Y, 30M, 30C in that order successively. As a result, the S liquid and the Bk ink dots mix and become insoluble. Next, the S liquid and the Y, M and C ink dots mix together and become insoluble. Fig. 40 shows the process in which the carriage carrying the head is performing a fourth main scan (or simply called a scan). The printing operation is performed only toward the right as indicated by an arrow R and is not performed during the back scan toward the left. Dots of each ink are printed in a single scan over the same print region. That is, the printing is done in a single one-way pass. In Fig. 40, the lengths denoted as C1-C4, M2-M4, and Y3 and Y4 represent the widths of the scan areas that are printed by the C head 30C, M head 30M and Y head 30Y during the n-th scan (in this example, n=1, 2, 3, 4) of the head unit 102. This shows that during the first scan at the start of printing, the area of width C1 is printed by ejecting from only a part of the nozzles of the C head 30C. At this time, it is needless to say that the S head 31 and the Bk head 30K also perform printing over the same scan area of width C1 according to the ejection data. In the second and succeeding scans, too, the Bk head 30K prints the same area as that printed by the C head 30C, and the S head 31 prints the same area as that printed by the C, M and Y heads according to the ejection data. During the second scan, the C head 30C prints a scan area of width C2 and the M head 30M prints a scan area of width M2. At this time, as can be seen from the drawing, the M head 30M prints an area (M2) partly overlapping the area (C1) printed by the C head 30C during the previous first scan. During the third scan, the Y head 30Y joins other heads and performs printing over an area Y3. In the fourth scan, full width printing using the C, M and Y heads is performed for the first time. Fig. 40 shows shaded the area being printed during the fourth scan. That is, the Y head 30Y prints an area that measures CMY-x in the x direction (main scan direction) and Y-y in the y direction (sub-scan direction). The M head 30M prints an area that measures CMY-x in the x direction and M-y in the y direction. The C head 30C prints an area measuring CMY-x in the x direction and C-y in the y direction. The Bk head 30K prints an area measuring Bk-x in the x direction and C-y in the y direction. As mentioned above, the S head 31 ejects the printing property improving liquid over an area that overlaps the print regions of color inks in the main scan direction. As a result, the printing property improving liquid for the Y ink is ejected over an area measuring S-x in the x direction and Y-y in the y direction. For the M ink, the printing property improving liquid is ejected over an area measuring S-x in the x direction and M-y in the y direction. For C and Bk inks, the printing property improving liquid is ejected over an area measuring S-x in the x direction and C-y in the y direction. The present invention achieves particular effect when applied to a recording head or a recording apparatus which has means for generating thermal energy such as electro-thermal transducers or laser light, and which uses thermal energy to eject ink. This is because such a system can achieve a high density and high resolution recording. A typical structure and operational principle thereof is disclosed in U.S. patent Nos. 4,723,129 and 4,740,796, and it is preferable to use this basic principle to implement such a system. Although this system can be applied either to on-demand type or continuous type ink jet recording systems, it is particularly suitable for the on-demand type apparatus. This is because the on-demand type apparatus has electro-thermal transducers, each disposed on a sheet or liquid passage that retains liquid (ink), and operates as follows: first, one or more drive signals are applied to the electro-thermal transducers to generate thermal energy corresponding to recording information; second, the thermal energy induces sudden temperature rise that exceeds the nucleate boiling condition so as to cause the film boiling on heating portions of the recording head; and third, bubbles are grown in the liquid (ink) corresponding to the drive signals. By using the growth and collapse of the bubbles, the ink is expelled from at least one of the ink ejection orifices of the head to form one or more ink drops. A drive signal in the form of a pulse is preferable because the growth and collapse of the bubbles can be achieved instantaneously and suitably by this form of drive signal. As a drive signal in the form of a pulse, those described in U.S. patent Nos. 4,463,359 and 4,345,262 are preferable. In addition, it is preferable that the rate of temperature rise of the heating portions described in U.S. patent No. 4,313,124 be adopted to achieve better recording. U.S. patent Nos. 4,558,333 and 4,459,600 disclose the following structure of a recording head, which is applicable to the present invention: this structure includes heating portions disposed on bent portions in addition to a combination of the ejection orifices, liquid passages and the electro-thermal transducers disclosed in the above patents. Moreover, the present invention can be applied to structures disclosed in Japanese Patent Application Laying-open Nos. 123670/1984 and 138461/1984 in order to achieve similar effects. The former discloses a structure in which a slit common to all the electro-thermal transducers is used as ejection orifices of the electro-thermal transducers, and the latter discloses a structure in which openings for absorbing pressure waves caused by thermal energy are formed corresponding to the ejection orifices. Thus, irrespective of the type of the recording head, the present invention can achieve recording positively and effectively. The present invention can be also applied to a so-called full-line type recording head whose length equals the maximum length across a recording medium. Such a recording head may consists of a plurality of recording heads combined together, or one integrally arranged recording head. In addition, the present invention can be applied to various serial type recording heads: a recording head fixed to the main assembly of a recording apparatus; a conveniently replaceable chip type recording head which, when loaded on the main assembly of a recording apparatus, is electrically connected to the main assembly, and is supplied with ink therefrom; and a cartridge type recording head integrally including an ink reservoir. It is further preferable to add a recovery system or a preliminary auxiliary system for a recording head as a constituent of the recording apparatus because they serve to make the effect of the present invention more reliable. Examples of the recovery system are a capping means and a cleaning means for the recording head, and a pressure or suction means for the recording head. Examples of the preliminary auxiliary system are a preliminary heating means utilizing electro-thermal transducers or a combination of other heater elements and the electro-thermal transducers, and a means for carrying out preliminary ejection of ink independently of the ejection for recording. These systems are effective for reliable recording. The number and type of recording heads to be mounted on a recording apparatus can be also changed. For example, only one recording head corresponding to a single color ink, or a plurality of recording heads corresponding to a plurality of inks different in color or concentration can be used. In other words, the present invention can be effectively applied to an apparatus having at least one of the monochromatic, multi-color and full-color modes. Here, the monochromatic mode performs recording by using only one major color such as black. The multi-color mode carries out recording by using different color inks, and the full-color mode performs recording by color mixing. Furthermore, although the above-described embodiments use liquid ink, inks that are liquid when the recording signal is applied can be used: for example, inks can be employed that solidify at a temperature lower than the room temperature and are softened or liquefied in the room temperature. This is because in the ink jet system, the ink is generally temperature adjusted in a range of 30°C - 70°C so that the viscosity of the ink is maintained at such a value that the ink can be ejected reliably. In addition, the present invention can be applied to such apparatus where the ink is liquefied just before the ejection by the thermal energy as follows so that the ink is expelled from the orifices in the liquid state, and then begins to solidify on hitting the recording medium, thereby preventing the ink evaporation: the ink is transformed from solid to liquid state by positively utilizing the thermal energy which would otherwise cause the temperature rise; or the ink, which is dry when left in air, is liquefied in response to the thermal energy of the recording signal. In such cases, the ink may be retained in recesses or through holes formed in a porous sheet as liquid or solid substances so that the ink faces the electro-thermal transducers as described in Japanese Patent Application Laying-open Nos. 56847/1979 or 71260/1985. The present invention is most effective when it uses the film boiling phenomenon to expel the ink. Furthermore, the ink jet recording apparatus of the present invention can be employed not only as an image output terminal of an information processing device such as a computer, but also as an output device of a copying machine including a reader, and as an output device of a facsimile apparatus having a transmission and receiving function. Fig. 41 is a block diagram showing general construction of an information processing apparatus having a function of word processor, personal computer, facsimile machine, a copy machine and so forth, to which the printing apparatus according to the present invention is applied. In the drawings, a reference numeral 1801 denotes a control portion performing control of the overall apparatus, which includes CPU, such as microprocessor and so forth, and various I/O ports, to perform control for outputting control signals or data signals and so forth to respective portions and inputting control signals or data signals from the respective portions. A reference numeral 1802 denotes a display portion having a display screen, on which various menus, document information and image or so forth read by an image reader 1807 are displayed. A reference numeral 1803 denotes a transparent pressure sensitive touch panel provided on the display portion 1802 for performing item entry or coordinate portion entry on the display portion 1802 by depressing the surface thereof by a finger or so forth. A reference numeral 1804 denotes a FM (frequency modulation) sound source portion which stores music information produced by a music editor and so forth in a memory portion 1810 or an external memory 1812 and performs FM modulation by reading out the stored music information from the memory portion or so forth. An electric signal from the FM sound source portion 1804 is transformed into an audible sound by a speaker portion 1805. A printer portion 1806 is employed as an output terminal of the word processor, the personal computer, the facsimile machine, the copy machine and so forth, in which the printing apparatus according to the present invention is applied. A reference numeral 1807 denotes an image reader portion for optoelectrical read out of original data for inputting, which is located at the intermediate position in an original feeding path and performs reading out various original documents, such as original document for a facsimile machine or copy machine. A reference numeral 1808 denotes a facsimile (FAX) transmission and reception portion for transmitting original data read by the image reader portion or for receiving a transmitted facsimile signal, which facsimile transmission and reception portion has an external interface function. A reference numeral 1809 denotes a telephone machine portion having a normal telephone function and various associated functions, such as a recording telephone and so forth. A reference numeral 1810 denotes a memory. portion including a ROM storing a system program, a manager program, other application program and so forth, as well as character fonts, dictionary and so forth, a RAM for storing application program loaded from an external storage device 1812, document information, video information and so forth. A reference numeral 1811 denotes a keyboard portion inputting document information or various commands. A reference numeral 1812 denotes the external storage device employing a floppy disc or hard disc drive as storage medium. In the external storage device 1812, document information, music or speech information, application program of the user and so forth are stored. Fig. 42 is a diagrammatic external view of the information processing system shown in Fig. 41. In Fig. 42, a reference numeral 1901 denotes a flat panel display utilizing a liquid crystal and so forth. On this display, the touch panel 1803 is overlaid so that coordinate position input or item designation input can be performed by depressing the surface of the touch panel 1803 by a finger or so forth. A reference numeral 1902 denotes a handset to be used when a function as the telephone machine of the apparatus is used. A keyboard is detachably connected to a main body of the apparatus through a cable and adapted to permit entry of various document information or various data input. On the other hand, on the keyboard 1903, various function keys and so forth are arranged. A reference numeral 1905 denotes an insertion mouth of the external storage device 1812 for accommodating a floppy disk inserted thereinto. A reference numeral 1906 denotes a paper stacking portion for stacking the original to be read by the image reader portion 1807. The original read by the image reader portion is discharged from the back portion of the apparatus. On the other hand, in facsimile reception, the received information is printed by the ink-jet printer 1907. It should be noted that while the display portion 1802 may be a CRT, it is desirable to employ a flat display panel, such as a liquid crystal display employing a ferro-electric liquid crystal for the capability of down-sizing and reduction of thickness as well as reduction of weight. When the information processing apparatus as set forth is operated as a personal computer or a word processor, various information input through the keyboard portion 1811 is processed according to a predetermined program by the control portion 1801 and is output as a printed image by the printer portion 1806. When the information processing apparatus is operated as a receiver of the facsimile machine, facsimile information input from the FAX transmission and reception portion 1808 via a communication network is Subject to a reception process according to a predetermined program and is output as a received image by the printer portion 1808. In addition, when the information processing apparatus is operated as a copy machine, the original is read by the image reader portion 1807 and the read original data is output to the printer portion as a copy image via the control portion 1801. It should be noted that, when the information processing apparatus is used as the -transmitter of the facsimile machine, the original data read by the image reader 1807 is processed for transmission according to the predetermined program by the control portion, and thereafter transmitted to the communication network via the FAX transmission and reception portion 1808. It should be noted that the information processing apparatus may be an integrated type incorporating the ink-jet printer within a main body as illustrated in Fig. 43. In this case, portability can be further improved. In Fig. 43, the portions having the same function to Fig. 42 are shown with the corresponding reference numerals. As set forth above, a multi-function type information processing apparatus may obtain a high quality printed image at high speed and low noise by employing the printing apparatus of the present invention. Therefore, the functions of the information processing apparatus can be further enhanced. Under a growing trend for improving the functions of the ink jet printer on the part of the users, it is becoming an important task to prevent wrong use of consumables as much as possible. When considering the improvement of print quality by the mutual action between the print performance improvement liquid and ink or between inks, any wrong use of expendable has large adverse affects on the performance of the recovery means and print head. It is therefore important both for this invention and for the improvement of an independent tank structure to make consumables commonly usable among a variety of devices and to prevent their erroneous usage as much as possible. The above objective can be achieved by an ink tank that can be mounted to the apparatus of this invention or used independently and which includes: a tank chamber accommodating an ink or a liquid containing at least a printing property improving liquid applied to a print medium to improve the printing performance during ink jet printing; and a supply port to supply the ink or the liquid containing at least the printing property improving liquid from the tank chamber to the ink jet head. The ink tank also has a plurality of ink chambers integrally formed in one structure, with at least one of the ink chambers formed with a plurality of supply ports. More specifically, in this ink tank, the ink used is a black ink, the printing property improving liquid contains cationic material of low molecular components and high molecular components, and the ink includes an anionic dyestuff. Alternatively, the printing property improving liquid includes cationic material of low molecular components and high molecular components, and the ink contains an anionic dyestuff or at least an anionic compound and pigment. Another device that achieves the above objective is an ink jet cartridge that comprises an ink tank and an ink jet head. To describe in more detail, the ink tank comprises: a tank chamber accommodating an ink or a liquid containing at least a printing property improving liquid applied to a print medium to improve the printing performance during ink jet printing; a supply port to supply the ink or the liquid containing at least the printing property improving liquid from the tank chamber to the ink jet head; and a plurality of ink chambers integrally formed in one structure, with at least one of the ink chambers formed with a plurality of supply ports. The ink jet head comprises an ink ejecting head to eject the ink and a liquid ejecting head to eject the printing property improving liquid. The ink jet head is removably connected with the ink tank. In the following descriptions, the "liquid-resistance structure", as can be seen from the succeeding embodiments, includes any structure that virtually blocks the supply or reception of liquid, such as a structure which provides a capping or other sealing structure to a pipe that receives an ink (for cost reduction of the tank side, it is normally desirable that the liquid-resistance structure be provided on the head side), a structure which provides a capping or sealing structure to the ink supply portion of the tank, or a structure which prevents unnecessary liquid from being received in the ink tank. Such a configuration makes it possible to change the functional characteristics without unduly increasing the number of kinds of consumable and therefore to provide a group of ink jet printers and a group of ink tanks, whose print speed and relation between print quality and cost can be modified according to users' demands. In this way, rather than storing in separate tanks the printing property improving liquid and the ink containing visible coloring substances for recording, the above construction accommodates the liquid and the ink in an integrally combined ink tank. This integral structure of the ink tank offers the advantage of eliminating the chance of attaching a wrong tank to the head as might occur in the present user environment where separate tanks are used for different color inks. Particularly, in the case of Fig. 12, in which the head has a head portion or ink receiving portion that accepts two tanks of the same color, there is a possibility that the printing property improving liquid tank may be erroneously mounted to where another same ink (black) tank should be attached. The integrally structured tank, however, prevents such erroneous mounting. Fig. 44 shows a perspective view of an ink jet cartridge (consisting of a head unit and an ink tank) of a kind that is shown in Fig. 12. A head unit 2000 and a tank 2010 are removably connected. When an ink volume detection mechanism, not shown, finds that the ink is running out, it prompts the user, through the device body, to replace the tank. The tank 2010 connected to the head unit 2000 is divided into a plurality of chambers, as shown in Fig. 44. One of the chambers 2011 accommodates a sponge (it has a buffer chamber filled with air which does not contain a sponge and is communicated with an open air), and another chamber 2012 accommodates a liquid ink (or raw ink). A single tank 2010 can accommodate two kinds of ink (a black ink 2014 and a printing property improving liquid 2015). The black ink 2014 are accommodated symmetrically on the left and right sides of the center of the tank, with the printing property improving liquid 2015 received at the central portion of the tank. The tank 2010 has three ink supply ports 2016-1, 2016-2, 2016-3 communicating to the chamber 2011 where a sponge is installed. The supply ports 2016-1, 2016-2, 2016-3 receive mesh filters 2025-1, 2025-2 and 2025-3. The ink supply is performed as follows. The filters 2025-1, 2025-2 and 2025-3 of the head 2000 are inserted through the supply ports 2016-1, 2016-2 and 2016-3 until their front ends contact the sponges in the tank 2010. By activating the recovery means not shown, the ink and liquid are pumped by suction through one supply port at a time successively or through three supply ports simultaneously to supply the ink and liquid to the head. Ink can be held in the ink tank in a variety of ways. For example, an ink absorbing body may be installed in a part of the tank as in this example. The ink accommodating portion may be filled entirely with the ink absorbing body. Conversely, rather than using the ink absorbing body like a sponge, it is possible to use an ink bag acted upon by a spring force. The ink tank of this example is characterized in that the black ink is supplied commonly from the ink chamber accommodating the black ink to two ink jet heads through two supply ports. If there is no need to provide ink tanks that are applicable for ink jet printers which are designed to have a wide range of functional expandability as in this example, the above-mentioned black ink tank may be divided into separate tanks so that they can be replaced independently. When, for example, we consider developing an ink jet printer that places more importance on the cost than on the print speed or quality, a conceivable solution may be combining expensive print heads into one. In this case too, the ink tank of this example can be applied. If in this case the separately replaceable ink tanks are used, it is apparent that they can be applied commonly to the above two types of ink jet printers. Such separate ink tanks, however, have a smaller storage volume of ink than the ink tank of this example, which commonly supplies the black ink to a plurality of heads through a plurality of supply ports formed in the ink tank. This in turn significantly increases the frequency that the user has to replace the ink tank. Therefore, in designing ink tanks that can be commonly applied to different types of ink jet printers, it is obvious that the structure having a plurality of supply ports formed in one ink tank so as to be applicable to different types of print heads, as in this example, has a clear advantage. The ink tank of this example is also characterized in that the ink tank containing the printing property improving liquid is formed integrally with the ink tank for the black ink. The printing property improving liquid in this invention is supposed to exhibit its effect by reacting with an ordinary ink on a print medium. If the reaction of the printing property improving liquid is made to occur in the ink jet print head or in the ink tank, significant degradation in the printing performance as well as operation failures will result. In the ink jet printers of this example, the ink jet head for ejecting the printing property improving liquid is set at the second position from the left. Hence, with the integral type ink tank of this example accommodating the black ink and the printing property improving liquid, the liquid is automatically placed at its correct mounting position, so that the printing property improving liquid is prevented from being applied to a wrong ink jet head. This integral tank structure also makes it practically impossible for the normal ink such as black ink to be mounted to where the printing property improving liquid should be applied. Ink tanks that integrally accommodate a plurality of inks and prevent erroneous mounting have been proposed and put into practical use. These ink tanks, however, are designed simply to prevent mixing of different colors. Color inks, if mixed, can be separated. The ink tank of this example is designed to prevent reaction between the ink and the printing property improving liquid, which, once occurred, is irreversible. This example offers a far greater advantage than the conventional similar tanks. The color ink jet printer mounting the color ink jet heads described above will be explained briefly. Figs. 45A and 45B are enlarged views showing the carriage and its associated components in the ink jet printer. On the carriage 1006 can be mounted a print head unit 2100 and ink tanks 2110-1, 2 that supply inks to the print head 2100. The carriage 1006 comprises mainly a carriage base 1201 on which to mount the print head unit 2100 and the ink tanks 2110, and a head lever 1202 for holding the print head unit 2100. The print head unit 2100 is provided at its top with a connector 8022 that receives signals and wires for performing the drive control on the print head. When the print head unit 2100 is mounted on the carriage 1006, the connector 8022 is electrically connected to a connector 6022 provided on the carriage 1006. The tank 2210-1 (for black ink and S liquid) in Fig. 45 is similar to the tank in Fig. 44, and its explanation is omitted. Further, the tanks 2210-2C, 2M, 2Y are similar to those in Fig. 44 and their explanations are not given. Although the tank 2210-1 (for Bk and S) in this example is similar to the one used in the previous example, it is mounted on two head chips. Hence, the head unit 2100 is provided with a cover 2105. This head can not only be used for the "Bk+S" print mode explained earlier but also use the same tank as that of Fig. 44. Fig. 46 shows the configuration of a color head unit 2400 that can be used in Figs. 44, 45A and 45B. The unit comprises a Bk1 chip 2401, an S (printing property improving liquid) chip 2402, a Bk2 chip 2403, a C chip 2404, an M chip 2405 and a Y chip 2406. These chips are arranged on the frame 2307 at a 1/2-inch pitch and are so tilted as to be corrected for the drive timing. The Bk2 chip is shifted in the X and Y direction with respect to the Bk1 chip and other chips by a half pixel of 360 dpi. This is intended to enable the 720 dpi printing to be performed in one pass because of the half-pixel shift between Bk1 and Bk2. To produce optimum 360/720 dpi images at high speed, two heaters are arranged parallelly in each nozzle and are independently driven so that three volumes of ink 70/45/25 (p1) can be ejected from a single chip for Bk1 and Bk2 and that three volumes 40/25/15 (p1) can be ejected from a single chip for S, C, M and Y. The structures of the nozzle and heater are shown in Figs. 16A to 16C. In the liquid path communicating to each nozzle, two heaters, one large and one small, are parallelly arranged as shown in Figs. 16A, 16B and 16C. By sending signal waveforms to the heater board of Fig. 21, it is possible to select from among large, medium and small volumes of ink. Figs. 47A to 47C and 48A to 48C (as well as 49A to 49D) show chip arrangements that receive an integral type ink tank which has a predetermined interval between the ink supply portions. Although the head portion structures may differ, the ink receiving portions of the chips are spaced at an interval equal to that of the ink supply portions of the integral type ink tank. The head that receives only a unit type ink tank need only correspond to the reaction color liquid of the ink supply portion. The structure of the liquid receiving portion is not shown. See the preceding example for reference. The interval between the liquid receiving portions need only match the interval between the ink supply portions of the integral type ink tank as it is mounted on the carriage). With this common structure of the ink tank, it is possible to lower the cost of the ink tank. At the same time, because the liquidproof structure of each head portion can obviate unnecessary ink structure, the life of the head can be extended. By applying the printing apparatus of this invention to the multi-function type information processing device, it is possible to produce high-quality printed images at high speed and with low noise and therefore to further improve the function of the information processing device. With this invention, it is possible to prevent degradation of image quality caused by the differing ejecting orders of the ink and the printing property improving liquid or by variations of time elapsed between the ejection of ink and liquid, thereby forming an image with good uniformity and color development. This invention can therefore provide an ink jet printing method which can produce printed images with high density, with no density variations and with good water resistance. The invention can also provide an ink jet printing apparatus which can produce excellent print images without increasing the power supply capacity or lowering the printing speed. When a plurality of printing operations are performed over the same print region, because this invention determines the mode of applying the liquid containing at least a printing property improving liquid in each printing operation according to the mode of applying ink, it is possible with this invention to keep the amount of liquid applied to the minimum required level and therefore produce high-quality print images with improved water resistance and light resistance, with reduced feathering and bleeds among colors, and with good color development and print density.

Claims: An ink jet printing method for printing onto a printing medium (106) using an ink discharge portion (1001) for discharging ink (C,M,Y,Bk) and using a liquid discharge portion (1002) for discharging liquid (S) containing a printing property improving liquid for improving a printing property, comprising the steps of: discharging ink (C,M,Y,Bk) at least once onto the printing medium; and discharging liquid (S) at least once onto the printing medium so that the liquid at least partially overlaps the discharged ink; characterised in that the method comprises a further step of discharging ink (C,M,Y,Bk) at least once onto the printing medium so that the ink at least partially overlaps that discharged liquid which overlaps the previously discharged ink. An ink jet printing method as claimed in claim 1, wherein the discharged liquid (S) fully overlaps the ink discharged prior to the discharge of the liquid, and wherein the ink (C,M,Y,Bk) discharged after the discharge of the liquid fully overlaps the discharged liquid. An ink jet printing method as claimed in claim 1, wherein the color of the ink (C,M,Y,Bk) to be discharged prior to the discharge of the liquid (S) is the same as the color of the ink (C,M,Y,Bk) to be discharged after the discharge of the liquid. An ink jet printing method as claimed in claim 1, wherein the composition of the ink (C,M,Y,Bk) to be discharged prior to the discharge of the liquid (S) is different from the composition of the ink (C,M,Y,Bk) to be discharged after the discharge of the liquid. An ink jet printing method as claimed in claim 1, wherein the color of the ink (C,M,Y,Bk) to be discharged prior to the discharge of the liquid (S) is different from the color of the ink (C,M,Y,Bk) to be discharged after the discharge of the liquid. An ink jet printing method as claimed in claim 1, wherein at least two kinds of inks (C,M,Y,Bk) are used for discharge prior to the discharge of the liquid (s), the inks having different compositions. An ink jet printing method as claimed in claim 6, wherein at least two inks- (C,M,Y,Bk) are used for discharge prior to the discharge of the liquid (S), the inks having different colors. An ink jet printing method as claimed in claim 1, wherein at least two kinds of inks (C,M,Y,Bk) are used for discharge after the discharge of the liquid (S), the inks having different compositions. An ink jet printing method as claimed in claim 8, wherein at least two inks (C,M,Y,Bk) are used for discharge after the discharge of the liquid (S), the inks having different colors. An ink jet printing method as claimed in claim 1, wherein the ratio of total quantity of ink (C,M,Y,Bk) discharged onto the printing medium (106) to total quantity of liquid (S) discharged onto the printing medium is as follows: ink : liquid = 1.0 : 0.1 to 1.0. An ink jet printing method as claimed in claim 1, wherein the liquid (S) contains low and high molecular weight cationic substances and the ink (C,M,Y,Bk) contains an anionic dyestuff. An ink jet printing method as claimed in claim 1, wherein the liquid (S) contains low and high molecular weight cationic substances, and the ink (C,M,Y,Bk) contains an anionic dyestuff or, an anionic compound and a pigment. A method as claimed in claim 1, wherein the liquid (S) comprises a component which reacts with a component of the ink (C,M,Y,Bk). A method as claimed in claim 13, wherein, prior to the discharge of the ink (C,M,Y,Bk) that is discharged before the liquid (S), a step of discharging liquid (S) is performed so that said ink overlaps the previously discharged liquid. A method according to claim 1, wherein the method comprises using an ink tank (2010) including a tank chamber for accommodating at least the liquid or the ink, wherein the tank chamber has a structure such that a plurality of chambers are integrated with each other, and one of the chambers is formed with a plurality of feed ports (2016). A method as claimed in claim 15, wherein the ink tank (2010) includes a liquid feed port (2016) for supplying the liquid (S) and a pair of ink feed ports (2016) having the liquid feed port interposed therebetween, wherein the pair of ink feed ports communicates with a substantially U-shaped ink chamber (2014) having the ink chamber disposed therein and the liquid feed port communicates with a liquid chamber (2015). A method as claimed in claim 16, wherein the ink is black ink (Bk) containing an anionic dyestuff, and wherein the liquid (S) contains low and high molecular weight cationic substances. A method as claimed in claim 18, wherein the liquid (S) contains low and high molecular weight cationic substances, and the ink (C,M,Y,Bk) contains an anionic dyestuff or, an anionic compound and a pigment. A method as claimed in claim 1, wherein the method comprises using an ink tank (2010) comprising: an ink chamber (2014) and a porous member for accommodating ink (C,M,Y,Bk) wherein the ink chamber has a port for conducting the ink out of the ink chamber; and a liquid chamber (2015) and a porous member for accommodating the liquid (S), wherein the liquid chamber has a port for conducting the liquid out of the liquid chamber, and wherein the ink chamber and liquid chamber are integrated. A method as claimed in claim 19, wherein the liquid (S) contains low and high molecular weight cationic substances, and wherein the ink contains an anionic dyestuff. A method as claimed in claim 19, wherein the ink chamber (2014) accommodates ink (C,M,Y,Bk), and wherein the liquid chamber (2015) accommodates liquid (S). A method as claimed in claim 1, wherein an ink jet head (1000), comprising an ink discharge portion (1001) for discharging inks (C,M,Y,Bk) and a liquid discharge portion (1002) for discharging liquid (S), is used for printing onto the printing medium (106). A method as claimed in claim 22, wherein said inks are the same in color. A method as claimed in claim 22, wherein said inks are different in color. A method as claimed in claim 1, wherein said liquid (s) improves the color development of the ink (C,M,Y,Bk) discharged onto the printing medium (106) An ink jet printing apparatus (100) for printing onto a printing medium (106) using an ink discharge portion (1001) for discharging ink (C,M,Y,Bk) and a liquid discharge portion (1002) for discharging liquid (S) containing a printing property improving liquid for improving a printing property, said apparatus comprising means for causing (402) discharge of ink and discharge of liquid, wherein the causing means is operable to cause: discharge of ink (C,M,Y,Bk) onto the printing medium at least once; and discharge of liquid (S) onto the printing medium at least once so that the liquid at least partially overlaps the discharged ink; characterised in that the causing means is arranged to cause further discharge of ink (C,M,Y,Bk) onto the printing medium at least once so that the ink at least partially overlaps that discharged liquid which overlaps the previously discharged ink. An ink jet printing apparatus as claimed in claim 26, wherein the causing means (402) is operable to cause the discharged liquid (S) to fully overlap the ink discharged prior to the discharge of the liquid, and to cause the ink (C,M,Y,Bk) discharged after the discharge of the liquid to fully overlap the discharged liquid. An ink jet printing apparatus as claimed in claim 26 or 27, wherein the ink discharge portion (1001) or the liquid discharge portion (1002) includes an electrical-thermal transducer as an energy generating element to generate thermal energy for causing film boiling of the ink (C,M,Y,Bk) or the liquid (S), respectively. An ink jet printing apparatus as claimed in claim 26, further comprising an ink jet head (1000) which comprises the ink discharge portion (1001) and the liquid discharge portion (1002). An ink jet printing apparatus as claimed in claim 26, further comprising as the liquid (S), a liquid for improving the color development of ink (C,M,Y,Bk) discharged onto the printing medium (106). An ink jet printed article formed by performing an ink jet printing method in accordance with any one of claims 1 to 25, wherein the printed article comprises regions formed by an ihk-liquid-ink deposition structure of the ink (C,M,Y,Bk) and liquid (S).

Inventors: HIRABAYASHI HIROMITSU, INUI TOSHIHARU, KATO MASAO, KATO MINAKO, KURABAYASHI YUTAKA, MORIYAMI JIRO, SUGIMOTO HITOSHI, TAJIKA HIROSHI, UETSUKI MASAYA, HIRABAYASHI, HIROMITSU, INUI, TOSHIHARU, KATO, MASAO, KATO, MINAKO, KURABAYASHI, YUTAKA, MORIYAMI, JIRO, SUGIMOTO, HITOSHI, TAJIKA, HIROSHI, UETSUKI, MASAYA, HIRABAYASHI, HIROMITSU, C/O CANON K.K., INUI, TOSHIHARU, C/O CANON K.K., Kato, Masao, c/o Canon K.K., Kato, Minako, c/o Canon K.K., KURABAYASHI, YUTAKA, C/O CANON K.K., Moriyami, Jiro, c/o Canon K.K., SUGIMOTO, HITOSHI, C/O CANON K.K., TAJIKA, HIROSHI, C/O CANON K.K., Uetsuki, Masaya, c/o Canon K.K.
Applicants: CANON KK, CANON KABUSHIKI KAISHA
Application year: 1996
Main classification: B41J2
IPC codes: G06K15, B41J2