# Patent

## Title
Print controller

## Abstract

An inkjet head has a plurality of nozzles that are arranged such that distances in a first direction between respective two adjacent nozzles that are adjacent with each other in the first direction are uniform and distances in a second direction orthogonal to the first direction between the respective two adjacent nozzles are nonuniform. The storing unit stores a plurality of dot size determining values corresponding to the plurality of nozzles. Each dot size determining value is defined to determine a size of a dot to be formed by the corresponding nozzle and is determined dependently on a distance in the second direction between the corresponding nozzle and a nozzle adjacent to the corresponding nozzle in the first direction. The determining unit determines a size of a dot to be formed by each nozzle based on the pixel data and the corresponding dot size determining value.

## Background
CROSS REFERENCE TO RELATED APPLICATION
This application claims priority from Japanese Patent Application No. 2009-078254 filed Mar. 27, 2009. The entire content of the priority application is incorporated herein by reference.
TECHNICAL FIELD
The present invention relates to a print controller, a printing device, and a method for setting the printing device.
BACKGROUND
An inkjet printer well known in the art prints images by ejecting ink droplets through nozzles to form dots on recording paper. However, manufacturing error may cause the impact positions of ink droplets ejected from this inkjet printer to deviate from intended positions, producing white streaks in the image called “banding” that reduces the overall image quality. Banding is a white area of the recording paper that appears as a white line when the gap between adjacent dots grows too large.
Two types of inkjet printers are a multi-pass printer and a line head printer. The multi-pass printer prints images on recording paper by ejecting ink droplets through nozzles formed in the ink head while reciprocating the ink head in a main scanning direction orthogonal to the paper-conveying direction. The line head printer, on the other hand, has a very long print head, equivalent to or greater than the width of the recording paper and having rows of nozzles capable of forming dots in full line units so that the printer can print images without reciprocating the ink head.
The multi-pass printer can suppress the above-mentioned problem of banding to a degree by adjusting the distance between dots in the main scanning direction orthogonal to the paper-conveying direction based on the position of the ink head in the main scanning direction. However, since the ink head is not reciprocated in a line head printer, the distance between dots in the direction orthogonal to the paper-conveying direction is fixed based on the positions of the nozzles and is very difficult to adjust. Hence, the line head printer is susceptible to banding caused by a gap between dots at the same position relative to the longitudinal direction of the print head when the gaps are linked in a series extending in the paper-conveying direction.
One conventional image-forming device has a long ink head constructed by linking a plurality of heads in the longitudinal direction so that the ends of adjacent heads overlap. This conventional image-forming device suppresses banding by adjusting the size of ink dots ejected from nozzles in areas that the ink heads overlap. Another conventional image-forming device prevents a decline in the width of an image caused by inclination in the print head by adding an extra pixel or modifying the size of the dots.
SUMMARY
In view of the foregoing, it is an object of the invention to provide a print controller, a printing device, and a method for setting the printing device, capable of suppressing banding in images.
In order to attain the above and other objects, the invention provides a print controller controlling an inkjet head to eject ink to record an image on a recording medium conveyed in a conveying direction. The inkjet head has a plurality of nozzles that are arranged such that distances in a first direction between respective two adjacent nozzles that are adjacent with each other in the first direction are uniform and distances in a second direction orthogonal to the first direction between the respective two adjacent nozzles are nonuniform. The print controller includes an acquiring unit, a storing unit, and a determining unit. The acquiring unit acquires image data representing an image having a plurality of pixels. The image data includes a plurality of sets of pixel data corresponding to the plurality of pixels. The storing unit stores a plurality of dot size determining values corresponding to the plurality of nozzles. Each dot size determining value is defined to determine a size of a dot to be formed by the corresponding nozzle and is determined dependently on a distance in the second direction between the corresponding nozzle and a nozzle adjacent to the corresponding nozzle in the first direction. The determining unit determines a size of a dot to be formed by each nozzle based on the pixel data and the corresponding dot size determining value.
According to another aspect, the invention provides a printing device. The printing device includes an inkjet head, an acquiring unit, a storing unit, and a determining unit. The inkjet head ejects ink to record an image on a recording medium conveyed in a conveying direction. The inkjet head has a plurality of nozzles that are arranged such that distances in a first direction between respective two adjacent nozzles that are adjacent with each other in the first direction are uniform and distances in a second direction orthogonal to the first direction between the respective two adjacent nozzles are nonuniform. The acquiring unit acquires image data representing an image having a plurality of pixels. The image data includes a plurality of sets of pixel data corresponding to the plurality of pixels. The storing unit stores a plurality of dot size determining values corresponding to the plurality of nozzles. Each dot size determining value is defined to determine a size of a dot to be formed by the corresponding nozzle and is determined dependently on a distance in the second direction between the corresponding nozzle and a nozzle adjacent to the corresponding nozzle in the first direction. The determining unit determines a size of a dot to be formed by each nozzle based on the pixel data and the corresponding dot size determining value.
According to still another aspect, the invention provides a method for setting a printing device having an inkjet head to record an image on a recording medium conveyed in a conveying direction. The inkjet head has a plurality of nozzles that are arranged such that distances in a first direction between respective two adjacent nozzles that are adjacent with each other in the first direction are uniform and distances in a second direction orthogonal to the first direction between the respective two adjacent nozzles are nonuniform. The method includes acquiring an angle between the first direction and a third direction orthogonal to the conveying direction, calculating, for each nozzle, a distance in the third direction between two dots which are to be formed by the each nozzle and another nozzle adjacent to the each nozzle in the first direction and which are to be arranged in the third direction wherein the distance is calculated based on the angle, and setting a plurality of dot size determining values corresponding to the plurality of nozzles dependently on a distance in the second direction between the corresponding nozzle and a nozzle adjacent to the corresponding nozzle in the first direction wherein each dot size determining value is set to determine a size of a dot to be formed by the corresponding nozzle.



BRIEF DESCRIPTION OF THE DRAWINGS
The particular features and advantages of the invention as well as other objects will become apparent from the following description taken in connection with the accompanying drawings, in which:
FIG. 1 is a cross-sectional view of a printer equipped with a controller according to an embodiment of the invention;
FIG. 2(a) is a bottom view of ink heads showing ink ejection surfaces;
FIG. 2(b) is an enlarged view of a nozzle unit;
FIG. 2(c) is an explanatory diagram illustrating rules for arranging nozzles in the nozzle unit;
FIG. 3(a) shows a relationship between an ideal mounting angle of the ink head and a row of dots formed by the ink head on a paper;
FIG. 3(b) shows a relationship between an incorrect mounting angle of the ink head and a row of dots formed by the ink head on a paper;
FIG. 4 is a block diagram showing an electrical structure of the printer;
FIG. 5(a) is an explanatory diagram conceptually illustrating a structure of a dot size table;
FIG. 5(b) is an explanatory diagram conceptually illustrating a structure of a dot size adjusting table;
FIG. 5(c) is an explanatory diagram conceptually illustrating a structure of a Y-direction nozzle distance table;
FIG. 6 is a flowchart illustrating steps in a dot size setting process;
FIG. 7(a) is an explanatory diagram illustrating how a distance between dots is calculated; and
FIG. 7(b) is an explanatory diagram illustrating a method of calculating an ideal large dot size.



DETAILED DESCRIPTION
A printer 1 according to an embodiment of the invention will be described while referring to the accompanying drawings wherein like parts and components are designated by the same reference numerals to avoid duplicating description.
FIG. 1 is a cross-sectional view of the printer 1 equipped with a controller 10 serving as an embodiment of the print controller according to the invention. The printer 1 is a line head type inkjet printer capable of suppressing banding in images printed on a recording paper P.
As shown in FIG. 1, the printer 1 is provided with an ink head 2 for each color of ink employed by the printer 1, and a conveying mechanism 21 for conveying the sheets of paper P to the ink heads 2. The sheets of paper P are originally stacked in a sheet-feeding unit 30 disposed in the bottom section of the printer 1. The conveying mechanism 21 conveys the sheets toward the ink heads 2 along a conveying direction A indicated by an arrow in FIG. 1. After a prescribed image is printed on a sheet, the sheet is conveyed to a discharge section 90.
The sheet-feeding unit 30 includes a paper tray 31 capable of accommodating sheets of paper P in a stacked formation, and a feeding roller 32. The feeding roller 32 picks up the topmost sheet of paper P among the plurality of sheets stacked in the paper tray 31 and conveys the paper P one sheet at a time toward the conveying mechanism 21.
Two pairs of conveying rollers 33a and 33b, and 34a and 34b are disposed between the sheet-feeding unit 30 and the conveying mechanism 21 along the conveying path of the paper P. The conveying rollers 33a and 33b and the conveying rollers 34a and 34b guide and convey sheets of paper P received from the sheet-feeding unit 30 toward the conveying mechanism 21.
The conveying mechanism 21 includes an endless conveying belt 8 and two belt rollers 6 and 7. The belt roller 7 is linked to a conveying motor 22 (see FIG. 4) and is driven to rotate in a direction R indicated by an arrow in FIG. 1 by a rotational force transmitted from the conveying motor 22. When the belt roller 7 rotates in the direction R, the conveying belt 8 circulates in a direction for conveying the sheets of paper P in the conveying direction A, while the belt roller 6 rotates as a follow roller. The conveying belt 8 includes an outer surface 8a. The outer surface 8a has marks 81 indicating a direction B orthogonal to the paper conveying direction.
A nip roller 4 is disposed at a position opposing the belt roller 6, with the conveying belt 8 interposed therebetween. The nip roller 4 presses sheets of paper P conveyed from the sheet-feeding unit 30 against the outer surface 8a so as to hold the entire sheet against the outer surface 8a. In this state, the sheets of paper P carried on the conveying belt 8 are conveyed past the ink heads 2.
An ink head 2 is provided for each of four ink colors (cyan, magenta, yellow, and black). Each ink head 2 extends along the width dimension of the conveying belt 8. The ink heads 2 are supported in a frame 3 so as to be parallel to each other and juxtaposed along the conveying direction A. Each ink head 2 includes a ink ejection surface 2a. The ink ejection surface 2a is formed with nozzles 2c (FIG. 2) that eject ink droplets. Each ink head 2 is connected to an ink storage section 60 via a tube. Four ink cartridges 61, each storing one of the four colors of ink, are disposed in the ink storage section 60 and supply ink of their respective colors to the corresponding ink heads 2. In the embodiment, the ink ejection surface 2a includes a photosensor 25 to read the marks 81.
A platen 19 is disposed inside the loop formed by the conveying belt 8. The platen 19 is shaped substantially like a rectangular parallelepiped and confronts the bottom surfaces (ink ejection surfaces 2a) of the four ink heads 2. The top surface of the platen 19 contacts the inner surface of the conveying belt 8 and supports the conveying belt 8 through this contact.
The printer 1 forms an image on the paper P when a sheet of paper P held on the conveying belt 8 passes, in the conveying direction A, sequentially under the four ink heads 2. When a sheet passes under each ink head 2, the nozzles 2c (see FIG. 2) eject ink droplets that impact the paper P and form dots thereon. Each ink head 2 forms dots a row at a time along the direction B orthogonal to the conveying direction A. By repeatedly and alternately controlling the conveying belt 8 to convey the sheet one row worth and controlling each ink head 2 to form one row worth of dots, the printer 1 can form multiple rows of dots one after another on the paper P in the conveying direction A to print an image on the paper P. After the image is printed, the conveying mechanism 21 conveys the sheet downstream toward the discharge section 90.
A spur roller 5 is disposed above the belt roller 7. When a sheet of paper P conveyed by the conveying mechanism 21 becomes interposed between the spur roller 5 and the conveying belt 8, the spur roller 5 applies an additional conveying force to the sheet to discharge the sheet from the conveying mechanism 21. The sheets conveyed by the conveying mechanism 21 in the conveying direction A are separated from the outer surface 8a of the conveying belt 8 by a separating member (not shown) and conveyed to the discharge section 90. The discharge section 90 includes a pair of guides 91a and 91b and two pairs of conveying rollers 92a and 92b, and 93a and 93b. The conveying rollers 92a and 92b and the conveying rollers 93a and 93b convey the paper P upward between the guides 91a and 91b and discharge the paper P from the printer 1.
FIG. 2(a) is a bottom view of the ink heads 2 showing the ink ejection surfaces 2a. As shown in FIG. 2(a), each ink head 2 has an elongated structure with trapezoidal nozzle units 2b disposed in a staggered arrangement along a row in the longitudinal direction of the ink head 2. In the following description, the longitudinal direction of the ink head 2 will be referred to as the X direction, while the direction orthogonal to the X direction along the ink ejection surface 2a will be referred to as the Y direction. Ideally, the ink heads 2 are mounted in the frame 3 so that the X direction is at a right angle to the conveying direction A for the paper P (see FIG. 1). However, according to the printer 1 of the embodiment, the X direction is shifted from the direction B by an angle θ because of manufacturing error.
FIG. 2(b) is an enlarged view of a nozzle unit 2b. FIG. 2(c) is an explanatory diagram illustrating the rules for arranging the nozzles 2c in the nozzle unit 2b. As illustrated in FIGS. 2(b) and 2(c), a plurality of nozzles 2c is formed in each nozzle unit 2b. The nozzles 2c are arranged so that the nozzle distance in the X direction is uniform (a distance x in the example shown in FIG. 2(c)).
On the other hand, the positions of the nozzles 2c in the Y direction are not uniform. Therefore, when ink droplets are ejected from all nozzles 2c in a single ink head 2 at the same timing, dots are formed at irregular positions on the paper P in the conveying direction A. That is, dots cannot be formed along a single row. Therefore, the controller 10 must control the ink ejection timing for each nozzle 2c based on the position of the nozzles 2c in the Y direction in order to form a dot row 40 (see FIGS. 3(a) and 3(b)) aligned in the direction B. Specifically, to form a dot row 40 orthogonal to the conveying direction A on the paper P, the controller 10 forms dots by ejecting ink droplets from nozzles 2c positioned on the upstream side in the conveying direction A, conveys the paper P until the line on which the previous dots were formed is directly beneath the nozzles 2c positioned downstream in the conveying direction A, and subsequently ejects ink droplets from these downstream positioned nozzles 2c. 
In addition, the nozzles 2c are arranged in each nozzle unit 2b so that their positions in the Y direction alternate between the upstream side and downstream side in the conveying direction A with respect to one other. FIG. 2(c) shows a part of the nozzles 2c arranged in the X direction in the ink head 2. More specifically, when a (k+1)th nozzle 2c(k+1) is positioned upstream in the conveying direction A (the upper side in the example shown in FIG. 2(c)) relative to a kth nozzle 2c (k), a (k+2)th nozzle 2c(k+2) is positioned downstream in the conveying direction A (the lower side in the example shown in FIG. 2(c)) relative to the (k+1)th nozzle 2c(k+1).
As shown in FIG. 2(c), in the embodiment, Y coordinates are set such that all points upstream in the conveying direction A is positive and all points downstream is negative. Positional change y(k) in the Y direction of the (k+1)th nozzle 2c(k+1) relative to the kth nozzle 2c(k) is specified using these Y coordinates. The direction (sign) of this change (y(k)) in the example shown in FIG. 2(c) is positive. Thus, the position of the nozzles 2c in the Y direction must be set so that the direction (sign) of positional change (y(k+1)) in the Y direction of the (k+2)th nozzle 2c(k+2) relative to the (k+1)th nozzle 2c(k+1) is negative. In other words, the nozzles 2c are arranged in the Y direction so that the direction of change alternates in the Y direction between sequential pairs of nozzles 2c adjacent in the X direction.
Arranging the nozzles 2c in this way facilitates the formation of ink channels used to supply ink separately to each nozzle unit 2b. Here, FIG. 2(b) simply illustrates a pattern of the nozzles 2c. In actuality, a much larger number of nozzles 2c are formed in each nozzle unit 2b in a denser arrangement, but showing all nozzles 2c would make the drawing cumbersome and complicated.
FIGS. 3(a) and 3(b) show the relationship between the mounted angle of the ink head 2 and a row of dots formed by the ink head 2 on the paper P. The left side of FIG. 3(a) shows an ink head 2 mounted in the frame 3 at an ideal mounting angle so that the X direction (longitudinal direction) of the ink head 2 is orthogonal to the conveying direction A, while the right side of FIG. 3(a) shows the relationship between the arrangement of nozzles 2c in the ink head 2 and the dot row 40 formed by the ink head 2. Here, the longitudinal direction of the dot row 40 is parallel to the direction B, which is orthogonal to the conveying direction A.
When the ink head 2 is mounted at the ideal angle shown in FIG. 3(a), the X direction of the ink head 2 is aligned with the B direction (longitudinal direction of the dot row 40 formed on the paper P). Hence, the distance between dots formed on the dot row 40 is equivalent to the distance between corresponding nozzles 2c in the X direction. Thus, if the nozzles 2c are formed in the ink head 2 at a regular pitch in the X direction, the distance between dots in the dot row 40 formed on the paper P will be regular and equivalent to the pitch between nozzles 2c in the X direction. In this case, the problem of banding does not occur in the image.
The left side of FIG. 3(b) illustrates the ink head 2 mounted in the frame 3 at an incorrect mounting angle so that the X direction of the ink head 2 is not aligned with the direction orthogonal to the conveying direction A, while the right side shows the relationship between the arrangement of nozzles 2c in the ink head 2 and the dot row 40 formed by the ink head 2. In this example, the X direction of the ink head 2 is shifted relative to the B direction. Hence, even when the pitch between nozzles 2c in the X direction is regular, the distance between dots constituting the dot row 40 is irregular, producing different levels of dot density in the dot row 40.
Specifically, when the X direction of the ink head 2 is shifted relative to the B direction, the distance between dots in the dot row 40 is equivalent to the sum of the B directional component for the distance in the X direction between nozzles 2c corresponding to the dots, and the B directional component for the distance in the Y direction between nozzles 2c corresponding to the dots. The method of calculating the distance between dots will be described later with reference to FIG. 7(a). Since the nozzles 2c are arranged at irregular positions in the Y direction, as described with reference to FIG. 2(c), the B directional component for the distance between nozzles 2c in the Y direction differs according to the nozzles 2c. As a result, the distance between neighboring dots in the dot row 40 is quite varied, producing different levels of dot density.
This varied dot density will appear in all dot rows 40 formed by the same ink head 2. Therefore, when the distance between dots at certain positions in the dot row 40 is great, resulting in a gap between the dots, a line extending in the conveying direction A (banding) may appear in the printed image if such gaps are formed in a continuous series along the conveying direction A.
Therefore, the controller 10 according to the embodiment suppresses banding in images by adjusting the amount of ink ejected from each nozzle 2c so that a pair of nozzles adjacent in the X direction form larger dots when the distance between the dots is large.
FIG. 4 is a block diagram showing the electrical structure of the printer 1. As shown in FIG. 4, the printer 1 primarily includes the controller 10, an interface 16, the ink heads 2, and the conveying motor 22.
The controller 10 further includes a CPU 11, a ROM 12, a RAM 13, a flash memory 14, and an application-specific integrated circuit (ASIC) 15, all of which are interconnected via a bus line. The interface 16, the ink heads 2, and the conveying motor 22 are also connected to the ASIC 15.
The CPU 11 controls each function possessed by the printer 1 and each component connected to the ASIC 15 based on fixed values and programs stored in the ROM 12 and the flash memory 14. The ROM 12 is a nonwritable memory device that stores various programs executed on the printer 1, as well as a dot size table 12a and a Y-direction nozzle distance table 12b described later with reference to FIGS. 5(a) and 5(c). The ROM 12 also stores a dot size setting program 12c for implementing a dot size setting process shown in the flowchart of FIG. 6. The RAM 13 is a nonvolatile memory device that allows stored data to be overwritten. The RAM 13 temporarily stores various data required in operations executed on the printer 1. The flash memory 14 is a nonvolatile memory device that allows stored data to be overwritten. The flash memory 14 stores a dot size adjusting table 14a described later with reference to FIG. 5.
The controller 10 acquires image data for printing processes after the data has undergone a halftone process to convert each pixel value to one of n values (levels). Here, n is an integer. The controller 10 may acquire this image data via the interface 16, for example, or may execute the halftone process on data acquired from an external source via the interface 16 to obtain the image data. In the embodiment, the controller 10 acquires four-level image data (that is, n=4), with each pixel value set to one of the values “large dot,” “medium dot,” “small dot,” or “no dot.” The controller 10 adjusts (determines) the quantity of ink ejected from each nozzle 2c based on the value for each pixel in the image data and the dot size values set in the dot size table 12a for described later.
The controller 10 may adjust the quantity of ink ejected from the nozzles 2c according to one of many methods. For example, if the ink head 2 is configured of piezoelectric elements for ejecting ink, the controller 10 may adjust the quantity of ejected ink by adjusting the amount of piezoelectric deformation through voltage control.
FIG. 5(a) is an explanatory diagram conceptually illustrating the structure of the dot size table 12a. The dot size table 12a shown in FIG. 5(a) stores three (that is, n−1) sets of dot sizes, each set including a large dot size value representing the diameter of a large dot, a medium dot size value representing the diameter of a medium dot, and a small dot size value representing the diameter of a small dot. Each dot size value shown in FIG. 5(a) represents the diameter of a dot in units of micrometers that is to be formed on the paper P. Therefore, a larger dot size value represents a dot of a larger size.
In the dot size table 12a according to the embodiment, three patterns of dot size values have been prepared as dot size value sets 1-3. The dot size value applied to each nozzle 2c is determined based on the distance between dots. Specifically, when the distance between positions of dots formed by adjacent nozzles 2c is great, dot size value set 3, which is the set having the largest dot sizes, is applied to the nozzles 2c. Similarly, when the distance between positions of dots formed by adjacent nozzles 2c is small, dot size value set 1, which has the smallest dot sizes, is applied to the nozzles 2c. 
The dot size value set applied to each nozzle 2c is determined according to a dot size setting process described later with reference to FIG. 6. When a large dot is to be formed on the paper P using a certain nozzle 2c, the dot size value set for this nozzle 2c is determined so as not to produce a gap between this large dot and another adjacent large dot.
The controller 10 sets the quantity of ink to be ejected from each nozzle 2c based on the dot size value set selected for the nozzle 2c and the value of the corresponding pixel in the image data (“large dot,” “medium dot,” “small dot,” or “no dot”). For example, if the dot size value set 3 has been selected for a certain nozzle 2c and the value of the pixel to be formed by this nozzle 2c is “large dot,” the controller 10 adjusts the quantity of ink to be ejected from the nozzle 2c in order to form a large dot having an 8-μm diameter. If the pixel value is “medium dot,” the controller 10 forms a medium dot having a 5-μm diameter. If the pixel value is “small dot,” the controller 10 forms a small dot having a 3-μm diameter. If the pixel value is “no dot,” the controller 10 does not eject an ink droplet.
Here, the smallest size among large dots size values in the dot size table 12a (6 μm in the example of FIG. 5(a)) is set so as to be greater than the maximum size among medium dots size values in the dot size table 12a (5 μm in the example of FIG. 5(a)).
By setting the smallest size of a large dot corresponding to a large dot size value greater than the maximum size of a medium dot corresponding to the medium dot size value in this way, the printer 1 ensures that the ink head 2 prints images while maintaining the gradation relationship among pixels in the image data. In other words, the printer 1 prevents a large dot formed for one pixel from being smaller than a medium dot formed for another pixel.
FIG. 5(b) conceptually illustrates the structure of the dot size adjusting table 14a. The dot size adjusting table 14a stores numbers representing the dot size value sets selected for all nozzles 2c in the dot size setting process described later with reference to FIG. 6. In the embodiment, m nozzles are formed in each ink head 2. The nozzles 2c are referred to as a 1st nozzle, 2nd nozzle, . . . in order beginning from the leftmost nozzle 2c from a perspective facing the ink ejection surface 2a, while the rightmost nozzle 2c is referred to as the mth nozzle.
In the dot size adjusting table 14a shown in the example of FIG. 5(b), the dot size value set 3 has been stored for the 4th nozzle. Accordingly, it is clear that the distance between the pair of dots formed by the 4th and 3rd nozzles or the distance between the pair of dots formed by the 4th and 5th nozzles is large. By applying the dot size value set 3 to the 4th nozzle in this way, it is possible to form a large dot with an 8-μm diameter, which is the maximum size among large dot size values, thereby suppressing the generation of a gap between adjacent dots.
The printer 1 according to the embodiment adjusts the quantity of ink ejected from each nozzle 2c based on the dot size value set that is selected for each nozzle 2c and the value of the corresponding pixel in the image data so that the size of the dots formed by a pair of nozzles 2c adjacent to each other along the X direction is larger when the distance in the B direction between the pair of dots formed by this pair of nozzles 2c is larger. That is, the controller 10 determines the dot size value set for the nozzle 2c by referring to the dot size adjusting table 14a, and determines the quantity of ink to be ejected from the nozzle 2c by referring to the dot size table 12a based on the determined dot size value set and the value of the pixel in the image data. As a result, the printer 1 can suppress the generation of gaps between dots constituting the dot row 40, thereby suppressing the appearance of banding in an image printed by the ink head 2.
As shown in FIG. 5(a), each dot size value set includes a number of dot size values equivalent to the value of (n−1), or “3” in this example. Hence, three dot size values are stored for each nozzle 2c in the dot size table 12a. In the case where the halftone process converts the pixel value into one of n the value, the dot size table 12a may stores (n−1) dot size values for each of the dot size value sets. Accordingly, the printer 1 can also suppress banding in images when the image data is generated by converting each pixel value to a value of “3” or greater.
FIG. 5(c) conceptually illustrates the structure of the Y-direction nozzle distance table 12b. As shown in FIG. 5(c), the Y-direction nozzle distance table 12b stores Y-direction nozzle distances representing the change in position in the Y-direction between nozzles 2c formed adjacent to each other in the X-direction. The Y-direction nozzle distance is set to a positive value when the direction of change is toward the upstream side in the conveying direction A, and to a negative value when the direction of change is toward the downstream side in the conveying direction A. That is, the change in position indicates a value obtained by subtracting a position of a nozzle 2c from a position of another nozzle 2c that is positioned at downstream side of and adjacent to the nozzle 2c in the X direction.
As described above, the nozzles 2c are arranged at irregular positions in the Y direction. Hence, when the mounting angle of the ink head 2 is incorrect, as in the example shown in FIG. 3(b), the controller 10 can calculate the distance between dots produced in the dot row 40 based on the angle formed by the X direction of the ink head 2 and the B direction of the dot row 40, and the Y-direction nozzle distance. This method of calculation will be described later with reference to FIG. 7(a). However, the printer 1 according to the embodiment calculates the distance between dots based on the Y-direction nozzle distance and selects a suitable dot size value set for each nozzle 2c based on the calculated distances.
FIG. 6 is a flowchart illustrating steps in the dot size setting process. This process is performed on the printer 1 at the factory prior to shipping. In the embodiment, the CPU 11 of the controller 10 executes the dot size setting process according to the dot size setting program 12c, but the process may be executed using an external device instead. Through this process, dot size value sets selected for each nozzle 2c are stored in the dot size adjusting table 14a. In subsequent printing operations performed on the printer 1, the controller 10 references the dot size adjusting table 14a to adjust the quantities of ejected ink.
The dot size setting process is executed for each ink head 2 corresponding to each color used in the printer 1. Since the process executed for each ink head 2 is identical, the process will be described only once for an ink head 2 corresponding to one color.
In S604 at the beginning of the dot size setting process, the CPU 11 detects an inclination angle θ (angular data) for the ink head 2 formed by the longitudinal direction of the ink head 2 (X direction) and the longitudinal direction of the dot row 40 printed on the paper P (B direction). Specifically, the ink head inclination angle θ is an angle of 90 degrees or less formed by the X direction and the B direction about an axis perpendicular to the surface of the paper P, and is defined as a positive angle when the X direction of the ink head 2 is shifted clockwise to the B direction on the surface of the paper P and a negative angle when the X direction is shifted counterclockwise to the B direction. This ink head inclination angle θ can be calculated based on the results of reading the marks 81 formed on the outer surface 8a using a photosensor 25 disposed on the ink ejection surface 2a. There are various methods for finding this ink head inclination angle θ, but these methods are well known in the art and, hence, a detailed description will not be provided here.
In S606 the CPU 11 selects a target nozzle 2c, beginning from the first nozzle 2c on the left end toward the left end nozzle 2c. In S608 the CPU 11 determines whether the target nozzle 2c is the leftmost nozzle. If the target nozzle 2c is the leftmost nozzle (S608: YES), in S610 the CPU 11 acquires a Y-direction nozzle distance yr between the target nozzle 2c and the 2nd nozzle 2c adjacent to the target nozzle 2c on the right side. In S612 the CPU 11 calculates a distance dr between two adjacent dots in the B direction based on the ink head inclination angle θ acquired in S604 and the Y-direction nozzle distance yr acquired in S610.

dr=x cos θ+yr sin θ  (1)

In S614 the CPU 11 calculates an ideal large dot size r based on the distance dr calculated in S612 according to the following Equation (2). Here, dA is a predetermined length indicating a distance in the direction A and determined as an inverse of the printing resolution of the image.

r=(dr2+dA2)1/2  (2)

Next, Equations (1) and (2) will be described with reference to FIGS. 7(a) and 7(b). FIG. 7(a) illustrates how the distance between dots is calculated according to Equation (1). FIG. 7(a) shows the relationships between 1st through 4th nozzles 2c1-2c4 and dots 40a1-40a4 formed by the 1st through 4th nozzles 2c1-2c4 along a line parallel to the direction A. As described above, the inclination angle θ is formed by the X direction following the longitudinal direction of the ink head 2 and the B direction following the longitudinal direction of the dot row 40. Further, yi in FIG. 7(a) indicates the nozzle distance between an ith nozzle and an (i+1)th nozzle.
In the example shown in FIG. 7(a), a distance dr1 between the dot 40a1 formed by the 1st nozzle 2c1 and the dot 40a2 formed by the 2nd nozzle 2c2 is expressed by the sum of the B directional component of x (x cos θ), which is the distance between the 1st nozzle 2c1 and the 2nd nozzle 2c2 in the X direction, and the B directional component of y1 (y1 sin θ), which is the distance between the 1st nozzle 2c1 and the 2nd nozzle 2c2 in the Y direction. Hence, the distance dr between dots can be calculated according to Equation (1).
Similarly, in the example of FIG. 7(a), a distance dr2 between the dot 40a2 formed by the 2nd nozzle 2c2 and the dot 40a3 formed by the 3rd nozzle 2c3 is expressed by the sum of the B directional component of x (x cos θ), which is the distance between the 2nd nozzle 2c2 and the 3rd nozzle 2c3 in the X direction, and the B directional component of y2 (y2 sin θ), which is the distance between the 2nd nozzle 2c2 and the 3rd nozzle 2c3 in the Y direction. Since the Y position of each nozzle is set in the embodiment so that the Y component value of the position decreases when the position, shifts in the conveying direction A, the B directional component for y2 (y2 sin θ) is a negative value.
Thus, in the embodiment, Equation (1) described above is used to calculate the distance dr between dots, whether the dots are positioned closely together or far apart. Although FIG. 7(a) shows an example in which the X direction of the ink head 2 is shifted clockwise to the B direction (i.e., the ink head inclination angle θ is positive and sin θ is positive), the same Equation (1) may be used for the opposite case. In other words, the distance dr between dots can be calculated using Equation (1) when the X direction of the ink head 2 is shifted counterclockwise relative to the B direction (i.e., the ink head inclination angle θ is negative and sin θ is negative).
FIG. 7(b) illustrates the method of calculating the ideal large dot size r according to Equation (2). In FIG. 7(b), Equation (2) is expressed using a square root sign, which is identical to the meaning of Equation (2) described above. In FIG. 7(b), the ideal large dot size r is set so that two dots along the same diagonal line in a 2×2 dot area are in contact with each other. That is, the ideal large dot size r is equal to a sum of radii of the two large dots positioned at the ends of the diagonal line. Or, the ideal large dot size is equal to a distance between centers of two dots positioned on the diagonal line. In other words, when a dot belonging to a first dot row 40 and a dot belonging to a second dot row 40 adjacent to the first dot row 40 are large dots ejected through a pair of nozzles 2c adjacent to each other in the longitudinal direction of the ink head 2, the size value for these large dots is ideally set so that the dots are in contact with each other on the paper P.
By finding an ideal large dot size r in this way, the controller 10 can suppress the occurrence of gaps between dots having a diagonal positional relationship on the paper P when setting the dot size value set to be applied to the target nozzle in a subsequent step. Hence, the controller 10 can further suppress banding in the image.
The distance between dot rows 40 is determined by the printing resolution. This example will assume that the resolution is 600 dpi in the conveying direction A of the paper P. In this case, each distance dA between two dot is uniformly 1/600 inches. Since the distance dr between a pair of neighboring dots can found as described in FIG. 7(a), the controller 10 can easily calculate the ideal large dot size r.
Returning to the flowchart in FIG. 6, in S616 the CPU 11 acquires a large dot size value r1 in the dot size value set 1 from the dot size table 12a (see FIG. 5(a)). In S618 the CPU 11 determines whether the ideal large dot size r is greater than the large dot size value r1 acquired in S616. If r≦r1 (S618: NO), in S620 the CPU 11 selects the dot size value set 1 for the target nozzle and stores this value (“1”) as a dot size value set for the target nozzle in the dot size adjusting table 14a. 
However, if r>r1 (S618: YES), in S622 the CPU 11 acquires a large dot size value r2 in the dot size value set 2 from the dot size table 12a. In S624 the CPU 11 determines whether the ideal large dot size r is greater than the large dot size value r2 acquired in S622. If r≦r2 (S624: NO), in S626 the CPU 11 selects the dot size value set 2 for the target nozzle and stores this value (“2”) as a dot size value set for the target pixel in the dot size adjusting table 14a. 
However, if the CPU 11 determines that r>r2 (S624: YES), in S628 the CPU 11 selects the dot size value set 3 for the target nozzle and stores this value (“3”) as a dot size value set for the target pixel in the dot size adjusting table 14a. Thus, the CPU 11 can set and store, for each target nozzle, one of three dot size sets by which one of a large dot, medium dot, and small dot is determined.
Hence, the controller 10 selects a dot size value set specifying a greater large dot size value for the target nozzle when the ideal large dot size is larger.
In S630 the CPU 11 determines whether the above process has been completed through the mth nozzle on the right end. If there remain nozzles to be processed (S630: NO), the CPU 11 returns to S606 to select the next nozzle to the right as the target nozzle and repeats the above process. Since the target nozzle is no longer the leftmost nozzle (S608: NO), in S632 the CPU 11 acquires a Y direction nozzle distance y1 between the target nozzle and the nozzle adjacent to the target nozzle on the left side. In S634 the CPU 11 calculates a distance d1 in the direction B between two adjacent dots to be formed by the target nozzle 2c and a nozzle 2c adjacent to the target nozzle on the left side in the X direction, based on the ink head inclination angle θ and the Y direction nozzle distance y1 according to Equation (3) below.

d1=x cos θ+y1 sin θ  (3)

Since Equation (3) is derived according to the same principles as Equation (1), a detailed description of this equation will not be repeated here.
In S636 the CPU 11 determines whether the target nozzle is the mth nozzle on the right end. Since this is the first time the CPU 11 is performing the process in S636 in this description (i.e., since the target nozzle is not the mth nozzle on the right end; S636: NO), in S638 the CPU 11 acquires the Y-direction nozzle distance yr between the target nozzle 2c and a nozzle 2c adjacent to the target nozzle on the right side. In S640 the CPU 11 calculates the distance dr in the direction B between two adjacent dots to be formed by the target nozzle 2c and the nozzle 2c adjacent to the target nozzle 2c on the right side in the X direction, based on the ink head inclination angle θ and the Y-direction nozzle distance yr according to Equation (1).
In S642 the CPU 11 determines whether the distance d1 to the adjacent nozzle 2c on the left side is greater than the distance dr to the adjacent nozzle 2c on the right side. If d1≦dr (S642: NO), in S614 the CPU 11 calculates the ideal large dot size r using the distance dr between two dots with respect to the target nozzle 2c and the adjacent nozzle 2c on the right according to Equation (2) described above.
However, when d1>dr (S642: YES), in S644 the CPU 11 calculates the ideal large dot size r using the distance d1 between two dots with respect to the target nozzle 2c and the adjacent nozzle 2c on the left according to Equation (4) below.

r=(d12+dA2)1/2  (4)

Since Equation (4) is derived according to the same principles as Equation (2) described above, a detailed description of this equation will not be repeated here.
Subsequently, the processes in S616 through S630 are repeated. Through this process, when the distance d1 to the nozzle 2c on the left of the target nozzle in the X direction of the ink head 2 differs from the distance dr to the nozzle 2c on the right, the controller 10 can select a dot size value set for the target nozzle based on the larger dot distance.
By controlling the ink head 2 to print an image based on the dot size value set selected in the above process, the controller 10 can further suppress the occurrence of gaps between dots in the printed image, thereby satisfactorily suppressing the occurrence of banding in the image.
When the distances between the target nozzle and the left and right nozzles 2c are equivalent, the printer 1 according to the embodiment selects a dot size value set based on the distance d1. However, the printer 1 may be instead configured to select a dot size value set based on the distance dr.
By repeatedly performing the above process for each nozzle, the mth nozzle on the right end is eventually set as the target nozzle. When the controller 10 determines that the target nozzle is the mth nozzle on the right end (S636: YES), in S644 the controller 10 sets the ideal large dot size r based on the distance d1 in the direction B between two adjacent dots to be formed by the mth nozzle and the adjacent (m−1)th nozzle to the left and selects a dot size value set for the mth nozzle based on this ideal large dot size r. Subsequently, the controller 10 determines in S630 that the process has been completed for the mth nozzle on the right end (S630: YES) and ends the dot size setting process.
Through the dot size setting process according to the embodiment, the printer 1 can create a dot size adjusting table 14a including a dot size value set associated with each nozzle 2c, where the dot size value sets are selected so that the size of dots to be formed by a pair of nozzles 2c adjacent in the X direction is larger when the distance between the dots to be formed by the pair of nozzles 2c in the longitudinal direction of the dot row 40 is greater. In other words, the size of the dot indicated by the dot size value set is larger as the distance in the Y direction between the nozzle 2c corresponding to the dot size value set and another nozzle 2c adjacent to the nozzle 2c in the X direction is greater. Further, the dot size value set is defined based on the ideal large dot size r. Each dot size value set is determined dependently on a distance (d1 or dr) in the B direction between two dots which are to be formed by the nozzle corresponding to the dot size value set and another nozzle adjacent to the nozzle in the X direction and which are arranged in the B direction. Here, the distance (d1 or dr) in the B direction is determined dependently on the angle θ and a distance y in the Y direction between the nozzle 2c corresponding to the dot size value set and another nozzle 2c adjacent to the nozzle 2c in the X direction.
Further, the printer 1 according to the embodiment can accurately calculate the distance between two adjacent dots based on the Y direction nozzle distance and the ink head inclination angle θ. As a result, the printer 1 can select suitable dot size value sets for suppressing the occurrence of banding in images based on these accurately calculated distances.
While the invention has been described in detail with reference to the embodiment thereof, it would be apparent to those skilled in the art that various changes and modifications may be made therein without departing from the spirit of the invention.
In the embodiment described above, a dot size adjusting table 14a is prepared with correlations between the nozzles 2c and dot size value sets. However, the printer 1 may employ a table with correlations between the nozzles and dot size values instead. In this case, all dot size values (sizes of large dot, medium dot, and small dot, in the embodiment) corresponding to the determined dot size value set are stored in the table in association with each nozzle. Alternatively, one of the dot size values (for example, large dot size value) corresponding to the determined dot size value set may be stored in the table in association with each nozzle.
In the embodiment described above, the dot size setting process of FIG. 6 is performed on the printer 1 at the factory prior to shipping. However, the printer 1 may be configured to execute the dot size setting process in response to a user command in order to account for changes in the characteristics of the printer 1 over time.
The dot size values in the dot size table 12a of the embodiment described above correspond to the diameters of dots, but the dot size values may be any values that correspond to the sizes of dots. For example, the dot size values may express quantities of ejected ink. Further, the dot size values may be modified according to various designs.
For example, the following values may be stored in the dot size table 12a. In the dot size value set 3, the large dot size value may be set to “9”, the medium dot size value to “6”, and the small dot size value to “3”. In the dot size value set 2, the large dot size value may be set to “8”, the medium dot size value to “5”, and the small dot size value to “2”. In the dot size value set 1, the large dot size value may be set to “7”, the medium dot size value to “4”, and the small dot size value to “1”. Since the smallest medium dot size value (“4” in this variation) is greater than the largest small dot size value (“3” in this variation), the above values preserve the gradation relationship between medium and small dots.
In the embodiment described above, the construction for finding the inclination angle θ of the ink head 2 formed by the X direction and the B direction is provided in the printer 1, but it is not necessary that this construction be provided in the printer 1.

## Claims

1. A print controller controlling an inkjet head to eject ink to record an image on a recording medium conveyed in a conveying direction, the inkjet head having a plurality of nozzles that are arranged such that a plurality of corresponding distances in a first direction between nozzles that are adjacent with each other in the first direction are uniform and a plurality of corresponding distances in a second direction orthogonal to the first direction between the nozzles that are adjacent with each other in the first direction are nonuniform, the print controller comprising:
an acquiring unit that acquires image data representing an image having a plurality of pixels, the image data including a plurality of sets of pixel data corresponding to the plurality of pixels;
a storing unit that stores a plurality of dot size determining values corresponding to the plurality of nozzles, each dot size determining value being defined to determine a size of a dot to be formed by the corresponding nozzle and being determined dependently on a distance in the second direction between the corresponding nozzle and a nozzle adjacent to the corresponding nozzle in the first direction; and
a determining unit that determines a size of a dot to be formed by each nozzle based on the pixel data and the corresponding dot size determining value,
wherein each dot size determining value is defined according to a greater one of a first distance and a second distance, the first distance indicating a distance between two dots which are to be formed on the recording medium by the corresponding nozzle and a first adjacent nozzle and which are to be arranged in a third direction orthogonal to the conveying direction, the first adjacent nozzle being located adjacent to the corresponding nozzle in the first direction, the second distance indicating a distance between two dots which are to be formed on the recording medium by the corresponding nozzle and a second adjacent nozzle and which are to be arranged in the third direction, the second adjacent nozzle being located adjacent to the corresponding nozzle in the first direction on an opposite side of the first adjacent nozzle with respect to the corresponding nozzle.

2. The print controller according to claim 1, wherein each dot size determining value is defined such that the size of the dot indicated by the each dot size determining value is larger as the distance in the second direction between the corresponding nozzle and the nozzle adjacent to the corresponding nozzle in the first direction is greater.

3. The print controller according to claim 1, wherein each set of pixel data is represented by a n-th level value, n being an integer larger than three,
wherein the storing unit stores (n−1) worth of dot size values for each dot size determining value, the (n−1) worth of dot size values representing sizes of (n−1) number of dots to be formed on the recording medium by the corresponding nozzle.

4. A print controller controlling an inkjet head to eject ink to record an image on a recording medium conveyed in a conveying direction, the inkjet head having a plurality of nozzles that are arranged such that a plurality of corresponding distances in a first direction between nozzles that are adjacent with each other in the first direction are uniform and a plurality of corresponding distances in a second direction orthogonal to the first direction between the nozzles that are adjacent with each other in the first direction are nonuniform, the print controller comprising:
an acquiring unit that acquires image data representing an image having a plurality of pixels, the image data including a plurality of sets of pixel data corresponding to the plurality of pixels;
a storing unit that stores a plurality of dot size determining values corresponding to the plurality of nozzles, each dot size determining value being defined to determine a size of a dot to be formed by the corresponding nozzle and being determined dependently on a distance in the second direction between the corresponding nozzle and a nozzle adjacent to the corresponding nozzle in the first direction; and
a determining unit that determines a size of a dot to be formed by each nozzle based on the pixel data and the corresponding dot size determining value,
wherein each set of pixel data is represented by a n-th level value, n being an integer larger than three,
wherein the storing unit stores (n−1) worth of dot size values for each dot size determining value, the (n−1) worth of dot size values representing sizes of (n−1) number of dots to be formed on the recording medium by the corresponding nozzle,
wherein the print controller is capable of controlling the plurality of nozzles to form a first dot line and a second dot line adjacent to the first dot line on the recording medium in the conveying direction, the first dot line and the second dot line extending in a third direction orthogonal to the conveying direction, and
wherein each dot size determining value is defined based on a reference size, the reference size being defined such that a first dot which has the reference size and which is to be formed on the first line by the corresponding nozzle contacts a second dot which has the reference size and which is to be formed on the second line by another nozzle, the another nozzle being adjacent to the corresponding nozzle in the first direction.

5. The print controller according to claim 4, wherein the (n−1) worth of dot size values of each dot size determining value includes a first dot size value that is a largest value among the (n−1) dot size values and a second dot size value that is a second largest value among the (n−1) worth of dot size values, a minimum size among first dot sizes of all dot size determining values being larger than a maximum size among second dot sizes of all dot size determining values.

6. A print controller controlling an inkjet head to eject ink to record an image on a recording medium conveyed in a conveying direction, the inkjet head having a plurality of nozzles that are arranged such that a plurality of corresponding distances in a first direction between nozzles that are adjacent with each other in the first direction are uniform and a plurality of corresponding distances in a second direction orthogonal to the first direction between the nozzles that are adjacent with each other in the first direction are nonuniform, the print controller comprising:
an acquiring unit that acquires image data representing an image having a plurality of pixels, the image data including a plurality of sets of pixel data corresponding to the plurality of pixels;
a storing unit that stores a plurality of dot size determining values corresponding to the plurality of nozzles, each dot size determining value being defined to determine a size of a dot to be formed by the corresponding nozzle and being determined dependently on a distance in the second direction between the corresponding nozzle and a nozzle adjacent to the corresponding nozzle in the first direction; and
a determining unit that determines a size of a dot to be formed by each nozzle based on the pixel data and the corresponding dot size determining value,
wherein each dot size determining value is determined dependently on a distance in a third direction perpendicular to the conveying direction between two dots which are to be formed by the corresponding nozzle and another nozzle adjacent to the corresponding nozzle in the first direction and which are arranged in the third direction, the distance being determined dependently on an angle between the first direction and the third direction.

7. The print controller according to claim 6, wherein the distance is determined dependently on the angle and another distance in the second direction between the corresponding nozzle and the another nozzle adjacent to the corresponding nozzle in the first direction.

8. A print controller controlling an inkjet head to eject ink to record an image on a recording medium conveyed in a conveying direction, the inkjet head having a plurality of nozzles that are arranged such that a plurality of corresponding distances in a first direction between nozzles that are adjacent with each other in the first direction are uniform and a plurality of corresponding distances in a second direction orthogonal to the first direction between the nozzles that are adjacent with each other in the first direction are nonuniform, the print controller comprising:
an acquiring unit that acquires image data representing an image having a plurality of pixels, the image data including a plurality of sets of pixel data corresponding to the plurality of pixels;
a storing unit that stores a plurality of dot size determining values corresponding to the plurality of nozzles, each dot size determining value being defined to determine a size of a dot to be formed by the corresponding nozzle and being determined dependently on a distance in the second direction between the corresponding nozzle and a nozzle adjacent to the corresponding nozzle in the first direction;
a determining unit that determines a size of a dot to be formed by each nozzle based on the pixel data and the corresponding dot size determining value;
an angle acquiring unit that acquires an angle between the first direction and a third direction orthogonal to the conveying direction; and
a calculating unit that calculates, for each nozzle, a distance in the third direction between two dots which are to be formed by the each nozzle and another nozzle adjacent to the each nozzle in the first direction and which are to be arranged in the third direction, the distance being calculated based on the angle,
wherein the dot size determining value for each nozzle is defined based on the distance calculated by the calculating unit for the each nozzle.

9. The print controller according to claim 8, further comprising a distance acquiring unit that acquires, for each nozzle, another distance in the second direction between the each nozzle and the another nozzle,
wherein the calculating unit calculates the distance based on the angle and the another distance.

10. A printing device comprising:
an inkjet head that ejects ink to record an image on a recording medium conveyed in a conveying direction, the inkjet head having a plurality of nozzles that are arranged such that a plurality of corresponding distances in a first direction between nozzles that are adjacent with each other in the first direction are uniform and a plurality of corresponding distances in a second direction orthogonal to the first direction between the nozzles that are adjacent with each other in the first direction are nonuniform;
an acquiring unit that acquires image data representing an image having a plurality of pixels, the image data including a plurality of sets of pixel data corresponding to the plurality of pixels;
a storing unit that stores a plurality of dot size determining values corresponding to the plurality of nozzles, each dot size determining value being defined to determine a size of a dot to be formed by the corresponding nozzle and being determined dependently on a distance in the second direction between the corresponding nozzle and a nozzle adjacent to the corresponding nozzle in the first direction; and
a determining unit that determines a size of a dot to be formed by each nozzle based on the pixel data and the corresponding dot size determining value,
wherein the first direction is shifted from a third direction that is perpendicular to the conveying direction by a prescribed angle.

11. The printing device according to claim 10, wherein each dot size determining value is defined such that the size of the dot indicated by the each dot size determining value is larger as the distance in the second direction between the corresponding nozzle and the nozzle adjacent to the corresponding nozzle in the first direction is greater.

12. A method for setting a printing device having an inkjet head to record an image on a recording medium conveyed in a conveying direction, the inkjet head having a plurality of nozzles that are arranged such that a plurality of corresponding distances in a first direction between nozzles that are adjacent with each other in the first direction are uniform and a plurality of corresponding distances in a second direction orthogonal to the first direction between the nozzles that are adjacent with each other in the first direction are nonuniform, the method comprising:
acquiring an angle between the first direction and a third direction orthogonal to the conveying direction;
calculating, for each nozzle, a distance in the third direction between two dots which are to be formed by the each nozzle and another nozzle adjacent to the each nozzle in the first direction and which are to be arranged in the third direction, the distance being calculated based on the angle; and
setting a plurality of dot size determining values corresponding to the plurality of nozzles dependently on a distance in the second direction between the corresponding nozzle and a nozzle adjacent to the corresponding nozzle in the first direction, each dot size determining value being set to determine a size of a dot to be formed by the corresponding nozzle.

13. The method according to claim 12, wherein each dot size determining value is set such that the size of the dot indicated by the each dot size determining value is larger as the distance in the second direction between the corresponding nozzle and the nozzle adjacent to the corresponding nozzle in the first direction is greater.