Abstract:
Methods and systems for encoding and decoding a  2 D symbol is disclosed. According to one aspect of the  2 D symbol, the following characteristics are realized: 1) variable symbol widths and height; 2) variable print resolution, 3) multiple damage protection levels; 4) large information storage; 5) high redundancy; 6) readable by line based scanning devices; 7) recognizable by either contact scanning or non-contact scanning devices. In addition, a set of positioning lines are attached  2 D symbol for guiding scanning devices to decode the  2 D symbol with proper resolution.

Description:
BACKGROUND OF THE INVENTION  
         [0001]    1. Field of the Invention  
           [0002]    The present invention generally relates to optically encoded symbologies, and more particularly relates to methods and systems for encoding and decoding data into a two-dimension symbology.  
           [0003]    2. Description of the Related Art  
           [0004]    In today&#39;s high-technology world, more and more operations are performed automatically by computers. This increasing demand for automation has created strong demands for new technologies. Bar-code is one of the technologies used for automating data entry.  
           [0005]    A bar-code symbol is a pattern containing a series of bars of various widths and spaced apart from one another by spaces of various widths, the bars and spaces have different light reflective properties representing strings of binary ones and zeros. Bar-code symbols are printed directly on a substance or on labels attached to the object. The bar-code symbols are typically read by optical techniques, such as laser beams, Charge-Coupled. Device (CCD) or Contact Image Sensor (CIS) cameras. A typical laser-based bar-code reader uses a photo-sensor to convert bars and spaces into an electrical signal as it moves across a bar-code. The reader then measures the relative widths of bars and spaces, translates the different pattern back into regular characters, and spends them on to a computer or portable terminal for further processing. There is a minimum width for these bars and spaces to be decoded properly by scanners. The minimum width is called a “unit” or “module”. The spaces and bars are multiples of the “unit” or “module”.  
           [0006]    The conventional bar-code described above is one-dimensional. The information encoded in one-dimension (1D) bar-code is represented only by the widths of bars and spaces, which extends in a single dimension. All the bars and spaces have a uniform height in their vertical direction, thus the information only stored in the horizontal direction of a 1D bar-code. Generally a 1D bar-code is widely used as indices to associate physical objects with larger database containing detailed information. Because of the single dimension, 1D bar-code can only store very limited amount of information, for example, a zip code, a social security number or a serial number.  
           [0007]    As the demand for information technologies grows, there is a strong interest in eliminating the associated database and storing more information into the symbology itself. As a result of this demand, the two-dimensional (2D) bar-code technologies have emerged from the extension of the 1D bar-code. The 2D bar-code symbologies are generally square or rectangular patterns that encode data in two dimensions. They fall into two general categories: “stacked bar-code” is constructed like a layer cake of 1D bar-code stacked one on top of another; “matrix bar-code” is built on a true two dimensional matrix.  
           [0008]    One of the most commonly used “stacked bar-code” is PDF417 as shown in FIG. 1A. The detailed descriptions of PDF417 can be found in U.S. Pat. No. 5,304,786. PDF417 contains a number of code segments. Each consists of 4 bars and 4 spaces with total width of 17 modules, hence the name PDF417. It has a high tolerance for damaged symbology when high level of error correction is built in the symbol. Theoretically PDF417 can store up to 2000 characters per symbol, however the practical limit is no more than 350 characters. It is required to print PDF symbol with high resolution printer such as laser or thermal transfer printers. PDF417 can be read by cameras (CCD or CMOS), and a modified handheld laser or CIS scanner.  
           [0009]    QR Code (Quick Response Code) is an example of a “matrix bar-code” developed by Nippondenso ID Systems. As shown in FIG. 1B, a QR Code symbol is square in shape and can easily be identified by its finder pattern of nested alternating dark and light squares at three corners of the symbol. Due to the finder pattern, a QR Code symbol can be read very rapidly with CCD array cameras. The drawback is the size, which is 177 modules squared, maximum. The corresponding maximum storage capacity is 2956 bytes with encoded with 750 bytes lowest level error correction code.  
           [0010]    Scanners based on CCD or CIS cameras are particularly suitable for reading a 2D bar-code. Generally, scanners convert light (which human can see) into 0s and 1s (which a computer can process). In other words, scanners convert data from analogue format into digital format. All scanners work on the same principle of reflectance or transmission. A scanning object to be scanned is placed before a scanner which comprises a light source and a sensor. The amount of light reflected by or transmitted through the scanning object is picked up by the sensor and then converted to a signal proportional to the light intensity.  
           [0011]    One of the factors affecting the scanner performance is the scan resolution. The scan resolution relates to the fineness of detail that a scanner can achieve, and is usually measured in dots per inch (dpi). The more dots per inch a scanner can resolve, the more detail the resulting image will have. A scanner typically has a photoelement for each pixel. A scanner claiming a horizontal optical resolution of 600 dpi is alternatively referred to as 600 pixels per inch (ppi), and this is also referred as scanner&#39;s x-direction resolution. For a scanner having a maximum scanning width of 8.5 inches, there is an array of 5100 photoelements in the scan head. The scan head is mounted on a transport which is moved across a scanning object. Although the process may appear to be a continuous movement, the head moves a fraction of an inch at a time, taking a reading between each movement. The number of physical elements in a sensor array determines the horizontal sampling rate and the number of steps per inch determines the vertical sampling rate, which is referred as scanner&#39;s y-direction resolution. The scanners resolution is based on its x-direction and y-direction resolutions.  
           [0012]    It would be desirable to have a new 2D bar-code with following characteristics storing much more information, built-in redundancy, multiple levels of damage protection, flexible width and length symbol, and allowing hand-held line-based contact or non-contact scanning.  
           [0013]    With proliferation of hand operating a scanning devices, it is preferred to scan a 2D bar-code with hand-held scanners. However, there exist a few problems. A phenomena known as the loss of vertical synchronization  200  in scanning 2D bar-code symbols due to the limited height of elements is shown in FIG. 2. A 2D bar-code  210  is overlapped with a set of parallel scan lines  220 . Generally, the angle between scan line  220  and the horizontal axis of the bar-code  210  is non-zero for a hand-held scanning device. Due to the limited height of bar-code elements, certain scan lines  230  cut across two rows of bar-code elements. As a result, these scan lines  230  are not useful. It would be desirable to have a method to decode the 2D bar-code avoiding the loss of synchronization problem. It would also be desirable to decode the 2D bar-code efficiently and effectively.  
         SUMMARY OF THE INVENTION  
         [0014]    This section is for the purpose of summarizing some aspects of the present invention and to briefly introduce some preferred embodiments. Simplifications or omissions may be made to avoid obscuring the purpose of the section. Such simplifications or omissions are not intended to limit the scope of the present invention.  
           [0015]    The present invention is related to processes, methods, systems and software products to encoding and decoding of a 2D bar-code. In one aspect of the present invention, a new 2D bar-code symbology is presented with at least the following features: 1) variable symbol width and height; 2) variable print resolution; 3) multiple damage protection levels; 4) large information storage; 5) high redundancy; 6) readable by line based scanning devices; and 7) recognizable by either contact scanning or non-contact scanning devices.  
           [0016]    According to one embodiment, a 2D bar-code comprises a top border, a bottom border, a left border, a right border, a bit-stream data area and a plurality of data segment dividers. The unique pattern of the top and the bottom border is used for guiding scanning device to recognize the orientation of a 2D bar-code, whether the bar-code is upside down or flipped mirror image. A plurality of corresponding pair of positioning holes on the left and the right border are used for a scanning device to calculate the coordinates of data elements. The bit-stream data area contains bar-code information in the form of ordered rows of 9-bit “codeword”, which has a data structure of 3 rows by 3 columns of data elements as shown in FIG. 3. The order of bits is stored in row major from left to right, then top to bottom.  
           [0017]    The width and length of a 2D bar-code is controlled by the amount of information carried in the bit-stream data area. A number of measures to protect against physical damage are employed in the first measure is to divide the data bit-stream into a number of equal size data segments. A set of data segment control information is added to each data segment. As a result, redundancy is provided by repeating the critical control information related to the entire bar-code in each data segment.  
           [0018]    One of the measures is to employ an industry standard error correction method (e g., Reed Solomon function) in each data segment. So even a portion of a bar-code is not recognizable, the error correction may be able to recreate the missing information with the error correction codeword located in the intact portion of the bar-code. There are a number of different levels of error correction. Depending upon the applicable circumstance, a suitable level of error correction may be chosen. Ensuring higher confidence for decoding, an independent error correction scheme is employed for the data segment control information. Instead of storing codewords in sequential order, codewords are stored in an interleaved order, so the contiguous data is spread out in a larger area. As a result, the chance of damage to contiguous data decreases, while increasing the chance to recreate damage data via error correction.  
           [0019]    When a large concentration of bars (dark color) in one particular portion of a bar-code occurs, the scanning device may not catch the few white spaces in this concentration. To protect against this problem, a masking or bitwise-XOR operation is performed between the bit-stream of codeword data and a predefined mask to hide some of the concentrated bars.  
           [0020]    In another aspect of the present invention, different decoding methods are also disclosed. One of the Methods is used to decode the 2D bar-code after the entire 2D bar code symbol is scanned and stored. Another one of the methods is used for decoding the 2D bar-code while the 2D bar-code is being scanned. According to one embodiment, these decoding methods are incorporated as a software product loaded on a scanning device for decoding the 2D bar-code efficiently and effectively.  
           [0021]    In still another aspect of the present invention, a set of equally spaced parallel positioning lines is attached to a 2D bar-code. These positioning lines are used for guiding the scanning device to decode the 2D bar-code properly.  
           [0022]    In still yet another aspect of the present invention, the 2D bar-code may be divided by visible marks corresponding to different paragraphs of an article.  
           [0023]    One of the objects, features, and advantages of the present invention is to provide a symbology with flexible features and suitable for scanning.  
           [0024]    Other objects, features, and advantages of the present invention will become apparent upon examining the following detailed description of an embodiment thereof, taken in conjunction with the attached drawings.  
       
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS  
       [0025]    These and other features, aspects, and advantages of the present invention will be better understood with regard to the following description, appended claims, and accompanying drawings as follows:  
         [0026]    [0026]FIG. 1A shows an example of a PDF417 2D bar-code  
         [0027]    [0027]FIG. 1B illustrates an example of a QR Code.  
         [0028]    [0028]FIG. 2 is a diagram illustrating the intersection of scan lines with rows of 2D bar-code elements.  
         [0029]    [0029]FIG. 3 displays two examples of 9-bit code word from the present invention.  
         [0030]    [0030]FIG. 4 is an example of a 2D bar-code from the present invention.  
         [0031]    [0031]FIG. 5 is a dissected view of the 2D bar-code, in FIG. 4.  
         [0032]    FIGS.  6 A-C show exemplary patterns of top border and bottom border.  
         [0033]    [0033]FIG. 7A and 7C, depict the details of two exemplary starting code of the top border.  
         [0034]    FIG  7 B and  7 D depict the details of two exemplary ending code of the bottom border.  
         [0035]    FIG. 8  is a table showing exemplary combinations between error correction codeword and data codeword at different error correction levels.  
         [0036]    [0036]FIG. 9A lists the interleaved storage scheme for a bit-stream of codeword data.  
         [0037]    [0037]FIG. 9B shows one embodiment of the data structure of data segment control information.  
         [0038]    [0038]FIG. 9C shows another embodiment of the data structure of data segment control information.  
         [0039]    [0039]FIGS. 10A. 1 ,  10 A. 2 ,  10 A. 3  and  10 A. 4  display four pairs of predefined mask patterns used in one embodiment of the present invention.  
         [0040]    [0040]FIG. 10B shows an interleaf scheme similar to a chessboard for creating a predefined mask for a bar-code.  
         [0041]    [0041]FIG. 10C shows an exemplary predefined mask.  
         [0042]    [0042]FIG. 11 shows a flow chart of a bar-code encoding method.  
         [0043]    [0043]FIG. 12A shows a flow chart of a method to decode the 2D bar-code.  
         [0044]    [0044]FIGS. 12B and 12C show a flow chart of a method to decode the 2D-bar-code without the requirement of scanning the 2D bar-code symbol first.  
         [0045]    [0045]FIG. 13 shows a detailed view of locating the positioning holes.  
         [0046]    [0046]FIG. 14A shows a n alternative positioning teeth used with the 2D bar-code.  
         [0047]    [0047]FIGS. 14B and 14C show two exemplary of positioning lines attached to the 2D bar-code.  
         [0048]    [0048]FIG. 15 shows a 2D bar-code with visible dividing marks corresponding to different paragraphs of an article encoded in it.  
         [0049]    [0049]FIG. 16 depicts a detailed geometry to demonstrate how positioning lines guide the scanning device.  
         [0050]    [0050]FIGS. 17A and 17B show the relationship between adjacent positioning lines and consecutive scanning lines.  
         [0051]    [0051]FIG. 18 shows a schematic chart of a scanner head corresponds to the 2D bar-code.  
         [0052]    [0052]FIG. 19 shows a typical block diagram of a scanner.  
     
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS  
       [0053]    In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention. However, fit will become obvious to those skilled in the art that the present invention may be practiced without these specific details. The descriptions and representations herein are the common means used by those experienced or skilled in the art to most effectively convey the substance of their work to others skilled in the art. In other instances, well-known methods, procedures, components, and circuitry have not been described in detail to avoid unnecessarily obscuring aspects of the present invention.  
         [0054]    Reference herein to “one embodiment” or an “embodiment” means that a particular feature structure, or characteristic described in connection with the embodiment can be included in at least one embodiment of the invention. The appearances of the phrase “in one embodiment” in various places in the specification are not necessarily all referring to the same embodiment, nor are separate or alternative embodiments mutually exclusive of other embodiments. Further, the order of blocks in process flowcharts or diagrams representing one or more embodiments of the invention do not inherently indicate any particular order nor imply any limitations in the invention.  
         [0055]    Referring now to the drawings, in which like numerals refer to like parts throughout the several views. FIG. 3 shows two examples of the data structure used in the 2D bar-code in the present invention. Each 9-bit codeword includes data element arranged in 3 rows by 3 columns, each data element is either a dark colored or light colored. Each data element stores one bit of information. The order of the codeword is from left to right and top to bottom. To facilitate the description of the present invention, the dark or light colored element is referred to as a bar or a space. In one embodiment, the bar represents 1, and the space represents 0. As an example, the value of the codeword  310  is 010101010 in binary or 0×0aa in hexadecimal, and the codeword  320  is 101111001 in binary or 0×179 in hexadecimal.  
         [0056]    According to one embodiment of the present invention, FIG. 4. illustrates a rectangular 2D bar-code symbol  400  including a plurality of rectangular bar-code elements in bars and spaces. The rectangular bar-code symbol  400  has two major axes horizontal axis  410  and vertical axis  420 . A dissected view of the 2D bar-code symbol  400  is shown in FIG. 5. The components of the 2D bar code symbol  400  include a top border  510 , a bottom border  520 , a left border  530 , a right border  540 , a bit-stream data area  550  and a plurality of data segment dividers  560 . The 2D bar-code data are stored in the form of bit-stream of codeword data. The bit-stream of codeword data contains a set of ordered rows of 9-bit codeword. The bit-stream area  550  is divided into a number of data segments separated by data segment dividers  560 .  
         [0057]    Two exemplary top borders  510  are shown in FIGS. 6A and 6B. The top border comprises two basic components start code pattern  601  and terminator code pattern  605 . An exemplary top border includes two start code patterns  601  and one terminator code pattern  605  as shown in FIG. 6A. FIG. 6B shows another exemplary top border that contains three start code patterns  601 . The number of start code pattern  601  varies depending on the amount of data carried in the 2D bar-code. The minimum number of the start code pattern  601  is one. And there is no theoretical maximum limit for start code pattern  601 , however, the practical limit may be controlled by the width of a carrier (e.g., the width of paper). With a similar design, the bottom border  520  contains at one end code pattern  691  and one terminator code pattern  605 . An exemplary bottom block  520  is illustrated in FIG. 6C. The terminator code pattern  605  contains one 3-module wide bar.  
         [0058]    Both of the start code pattern  601  and the end code pattern  691  are directional. The start code pattern  601  has a construct of 6 alternated bars and spaces with a distinct combination of widths. The end code pattern  691  has a similar construct with a different combination of widths. The width of the six components is as follows 3:1:1:2:2:2 modules for the start code pattern  601  as displayed in FIG. 7A. FIG. 7B shows the width of the end code pattern  691  as follows: 3:2:2:1:1:2 modules for bars and spaces. Therefore, the total width of the bar-code is the sum of all the start/end code patterns and terminator code pattern. 
           W =11 *N +3 modules 
         [0059]    Where: W is the width of a bar-code; and  
         [0060]    N is the number of repeating start/end code patterns in the bar-code.  
         [0061]    Another embodiment of start code pattern and end code pattern is illustrated in FIG. 7C and FIG. 7D. They are constructed by 8 alternated bars and spaces with a distinct combination of widths. The width of eight components is 3:2:1:1:1:2:2:3 modules for the start code pattern, which is displayed in FIG. 7C. FIG. 7D shows the width ratio of the end code pattern as: 3:1:2.3:2:2:1:1 modules for bas and spaces. In this embodiment, the total width of the bar-code is calculated as follows: 
           W =15 *N +3 modules 
         [0062]    Where: W is the width of a bar-code; and  
         [0063]    N is the number of repeating start/end code patterns in the bar-code.  
         [0064]    Referring now back to FIG. 5, each of the left border  530  and right border  540  has an identical positioning block of a width of 3 modules and a length covering the height of the bar-code. When the boarder  530  or  540  is viewed as three columns, the two outside columns of the border are all bars and the middle column includes bars and spaces placed alternately in accordance with a predefined pattern. In one embodiment, the pattern is one bar to one space. In another embodiment, the pattern can be a number of bars interlacing with a number of spaces. Inherently, the alternating spaces in the left and right borders are provided for locating the data elements in between.  
         [0065]    To increase the reliability of decoding the bar-code, the bit-stream data area  550  is divided into a number of equally sized data segments by a data segment divider  560 , which is one row of bars spanning the entire width of the bar-code. The Reed-Solomon error correction method is applied against physical damages to the bar-code symbology. In one embodiment of the present invention, several optional choices of the Reed-Solomon scheme may be employed to protect against damage of data elements. FIG. 8 shows an exemplary list of different levels of Reed-Solomon scheme for 127-codeword data. It is evident that the higher the error correction level, the lower the amount of data can be stored in a given bar-code. Selecting a suitable option depends on the physical environment in which bar-code is deployed. Error correction codewords are calculated based on the level of error correction scheme selected.  
         [0066]    Most of the bar-code damage occurs in a concentrated area. One method for reducing the probability of the loss of continuous data is as follows: a) to divide the data segment into a number of groups of fixed length data block (e.g., 127-codeword); b) to store multiple groups in an interleaved order so the continuous codewords are not stored next to each other. An exemplary scheme to store three groups of 127-codeword data in a round-robin fashion is illustrated in FIG. 9A. The number of groups can be any positive numbers.  
         [0067]    In addition to all the codeword data stored in thee bit-stream data area  550  of FIG. 5, a set of vital control information is added to each data segment to enhance the decoding reliability FIG. 9B show one embodiment of the control information data structure. Due to the importance of these control data, a separate high level of error correction code is used independent of the error correction scheme employed for the codeword data. In FIG. 9B, bits e 0  to e 9 , represent the error correction code, bits a 0 , a 1 , a 2 , a 3  and a 4 , represent the total number of data segments in the bar-code symbol; bits, b 0  and b 1 , denote the selected error correction level; the bit b 2  denotes the interleaf toggle, the bits, b 3  and b 4  denote the mask type; and bits, c 0  to c 4 , represent the data segment number of the current data segment. FIG  9 C shows another embodiment of the control information data structure. Bits A 3 , A 2 , A 1 , A 0  and B 3  represent the data segment number of current data segment; bits, B 2 , B 1 , B 0 , C 3  and C 2  represent the total number of data segments in the bar-code, symbol; bits C 1 , C 0 , and C 3  denote the selected error correction level; bits D 2  and D 1  contain the mask type and bit D 0  is interleaf toggle. In this embodiment, the control information data are first arranged into seven 3 by 3 codeword, then converted into bit-stream. 3 remaining data elements are filled with 0. The control information is redundantly repeated in each data segment to ensure the availability of the information even if the bar-code goes through the toughest physical abuses.  
         [0068]    When overwhelming numbers of bars (dark color) with only very few spaces (light color) concentrate in a particular portion of the 2D bar-code symbol, it may cause scanning devices to miss the spaces, resulting in incorrect information. To minimize such concentration of one color (either all bars or all spaces), in one embodiment of the present invention, a scheme is to mask the bars by applying masking or bitwise-XOR operations to the bit-stream codeword data with a predefined mask. The masking mechanism is different from the conventional one. It it based on 3 rows by 3 columns codeword. A predefined mask is constructed using one of the four distinct pairs of masking codewords. Each pair contains a set of X and Y patterns. Each of the X an Y patterns has 3 rows and 3 columns of data elements, the same size as that of a codeword. In FIG. 10A. 1 , they X pattern is indicated in  1001 X and Y in  1001 Y.  1002 X and  1002 Y are the second pair,  1003 X and  1003 Y are the third pair, and  1004 X and  1004 Y are the fourth pair as shown in FIGS. 10A. 2  to  10 A. 4 . To construct a predefined mask, the X pattern and Y pattern are placed in an interleaved order similar to a chessboard as illustrated in FIG. 10B. Using a pair of masking codewords  1003 X and  1003 Y, an exemplary predefined mask is constructed as shown in FIG. 10C.  
         [0069]    Referring now to FIG. 11, there shows a flowchart  1100  for encoding a 2D bar-code according to one embodiment of the present invention. First, a binary data file is converted into a binary bit-stream of codeword at  1110 . Based upon a user selected error correction level, error correction codewords are calculated and then added into each bit-stream of codeword data (e.g, 127-codeword) at  1120 . A group of these bit-stream codeword data may be stored in an interleaved order at  1130 . At  1140  the entire bit-stream of codeword data is then divided into a number of data segments basing on the amount of information carried in the bar-code. To ensure all data segments have equal size, the filler codewords are appended to the last data segment if needed at  1150 . Then at  1160 , a masking or bitwise-XOR operation is applied on the bit-stream codeword data with a pre-selected mask to create a new bit-stream codeword of data. At  1170 , the control information for each data-segment are first converted into codewords before added into the bit-stream of the data segment. At  1180 , a top border, a bottom border, a left border and a right border are added. Finally the 2D bar-code is printed at  1190 .  
         [0070]    [0070]FIG. 12A shows, a flowchart or process  1200  for decoding a 2D bar-code in entirety. At  1205 , the entire 2D bar-code symbol is scanned, stored in as a stored image, and then enhanced. At  1210 , the top and bottom borders are detected and their corresponding coordinates are saved. At  1215 , the angle between the scan line and the horizontal axis of the bar-code are determined. Based on the start and end code patterns, the stored bar-code image orientation (e.g., upside down or inside out) is determined, and the print resolution of the stored image are determined. The first data segment divider is located in the stored image at  1220 . Using the first segment divider, bar-code print resolution, and a set of positioning holes on left and right border, the coordinates of all data elements in the bit-stream data area are calculated at  1225 . At  1230 , an error correction process on the control information is performed to extract the vital control information such as error correction level, mask type, interleaf toggle, total number of data segments and current data segment numbers. At  1235 , the bit value (bar/space) of data elements in the bit-stream data area are then read according to their coordinates calculated in  1225  and restored into a bit-stream of codeword data. At  1240 , the original bit-stream of codeword data is re-established with the operations of re-sequencing from an interleaved order, masking or bitwise-XOR, and error correction applying to the bit-stream created at  1235 . Finally the bit-stream of codeword data is converted into the original binary data.  
         [0071]    [0071]FIGS. 12B and 12C collectively show a flowchart or process  1250  of decoding a 2D bar-code according to another embodiment of the present invention. One of the, distinct features in this process is that the bar-code is decoded while being scanned. At  1252 , the scanning device scans a new line of a 2D bar-code into a scanned image and stores in a temporary storage. At  1254 , the scanned image is compared with the bottom border pattern. If there is a match, the 2D bar-code image to be scanned is upside down. The decoding can only be done with the 2D bar-code image in entirety as described in FIG. 12A. Otherwise, at  1256 , the scanned image is compared with the top border pattern. If they do not match, the process goes back to step  1252  for another scanned image. When the top border is found, the next step  1258  is to determine whether the 2D bar-code is a mirror image. If it is a mirror image, the decoding can only be done with the method in FIG. 12A. Next, at  1260 , the print resolution the 2D bar-code symbol is determined. At  1262 , scanning device moves on for another line of scanned image based on the printed solution.  
         [0072]    At  1264 , a test is to determine whether the scanned image is a data segment divider, which is a solid bar across the width of a 2D bar-code. If not, the process goes back to step  1262  for another new line of scanned image. Otherwise, the process starts to decode the bit-stream of codeword data carried in the 2D bar-code. At  1266 , the corresponding positioning holes of the left and right borders are detected. A set of control information is then read with the guide of the positioning holes and data segment divider at  1268 . Conitrol information such as total number of data segments, error correction level, interleaf toggle, mask type and current segment number are extracted after error correction is operated on the control information portion of the bit-stream of codeword data.  
         [0073]    At  1270 , the test makes sure that the correct data segment is being decoded while scanning. If not, the process goes to the process  1200  for decoding the 2D bar-code symbol in entirety. At  1272 , interleaved data storage order is checked. Again, the decoding must be performed with the method for decoding the 2D bar-code in entirety if the bit-stream codeword of data is stored in interleaved order. After passing both tests, at  1274 , one row of data elements is read in. The process continues by testing whether the next line of scanned image is a data segment divider at step  1276 . If not, the process goes back to step at  1274 . Otherwise the original bit-stream codeword of data for the current data segment is finally restored after performing selected error correction at  1278 . At  1280  a final test is performed. If the bottom border has not been detected in the next line of the scanned image, a new data segment is decoded with the repeating steps  1266 - 1280 . Otherwise, when bottom border is detected, the decoding is done.  
         [0074]    Referring now to FIG. 13, a detailed geometry is illustrated to show the procedure for determining the coordinates of data elements of a 2D bar-code using a corresponding pair of positioning holes in the left and right border of a stored 2D bar-code image. A data segment divider  1310  is detected using four equally spaced vertical traces V 1 , V 2 , V 3  and V 4  in the vertical direction of the scanned image. The left border  1320  is detected with for four equally spaced horizontal traces H 1 , H 2 , H 3  and H 4  in the horizontal direction of the scanned image. Similarly the right border  1330  is detected with another set of four equally spaced horizontal traces H 5 , H 6 , H 7  and H 8 . With the coordinates of these straight lines, the intersection  1340  of the left and top border and the intersection  1350  of the right and top border are determined. Based upon the print resolutions (ppi) of a rectangular bar-code element and the coordinates of these two intersections, the approximate location of a first pair of positioning hole is estimated. The coordinates of the first pair of positioning holes are then calculated with all light colored pixels within the estimated area by simple average: 
           Xp =(1 /N )*Sum( Xi ) 
           Yp =(1 /N )*Sum( Yi ) 
         [0075]    where N is total number of, white pixel in the estimated area of positioning hole, Xi, Yi are the coordinates of white pixels in the estimated area of positioning hole.  
         [0076]    using the coordinates of the knowing pair of positioning holes, all coordinates of the 2D bar-code data elements are calculated. The data can then be read off the stored image very efficiently. After finishing calculating the coordinates of first row of data elements, the rest of rows are deducted.  
         [0077]    [0077]FIG. 14A shows a 2D bar code  1404  sandwiched between a pair of positioning teeth  1402 . These positioning teeth  1402  are used for guiding scanning devices to correct image stretching and squeezing. In normal situation, the number of rows in a scanned image is evenly distributed between the positioning teeth. However, in certain circumstance, the scanned image may be distorted due to the distance and angle between the scanning device and the 2D bar-code symbol. On the one hand, a scanned image may be stretched; there are more rows scanned between certain positioning teeth than others. On the other hand, the image may be squeezed; there are missing scanned rows between certain positioning teeth. Based on the fact of even distribution for all positioning teeth, some rows are deleted in the stretched area; additional rows are added by interpolating the adjacent scanned rows in the squeezed area.  
         [0078]    Referring to FIG. 14B, a set of positioning lines  1410  are attached to the left side of a 2D bar-code  1420 . These positioning lines comprise a plurality of equally spaced parallel lines having a different slope than the horizontal axis of the 2D bar-code  1420 . The positioning lines may be located at either side or both sides of a 2D bar-code symbol  1420 . In another embodiment, FIG. 14C shows the positioning lines  1430  are drawn on top of a 2D bar-code symbol  1440  with a different color used for the dark colored bars in the 2D bar-code. The decoding of the positioning lines and 2D bar-code data elements are based on the reflection of the different scanning light color. For example, a 2D bar code uses blue colored bars and white colored spaces. The overlapping positioning lines may be printed with a special black ink. When scanning device uses a blue light source to scan the 2D bar-code symbol, both the bars and spaces would reflect the blue light while the black positioning line absorbs the blue light. Therefore, the positioning lines are read using the blue light source in a scanning device first before attempting to read the bar-code data with an infrared light source. That is because the infrared light goes through the special black ink, but the blue and the white color reflect distinctly. With the use of two different light sources, scanning devices are able to read the bar-code data elements and the positioning lines in two different paths.  
         [0079]    Referring now to FIG. 15, a 2D bar-code  1510  with a plurality of visible physical division marks  1520  for separating information stored in the 2D bar-code  1510 . According to one embodiment, each portion of the separated bar-code corresponds to different paragraph of an article.  
         [0080]    An exemplary usage of the positioning lines in FIGS. 14B and 14C is illustrated in FIG. 16, which depicts the geometry of positioning lines  1600 , a scan line  1620  and the horizontal axis  1610  of a 2D bar code. A set of parallel positioning lines  1600  is intersected by the horizontal axis  1610  and by the scan line  1620 . The perpendicular distance  1640  between positioning lines  1600  is denoted as D. The distance  1630  on the horizontal axis between two intersections with the positioning lines  1600  is L. The distance  1650  on the scan line between two intersections with the positioning lines is n. The angle between the scan line  1620  and the bar-code horizontal line  1610  is F. The angle between the horizontal axis  1610  and the positioning line  1600  is E. The angle between the positioning line  1600  and the scan line  1620  is G, which is the sum of E and F. The following equations are used to calculate angles F and G: 
           F =90 −E −arcos ( D/n ) 
           G =arsin ( D/n ) 
         [0081]    [0081]FIGS. 17A and 17B show how scanning lines guide scanning devices. Generally, the resolution in a 2D bar-code&#39;s horizontal axis direction or x-direction is determined by the scanning device&#39;s resolution as x DPI. In the bar-code&#39;s vertical-axis direction or y-direction, the resolution is referred as y-resolution which is determined by the sampling rate of the scanning device as y DPI. In order to decode 2D bar-code properly, the distance between two scanning lines should be equal to H=1/y. For example, to achieve a 300 dpi, the scanning device needs to scan the 2D bar-code once every 1/300 inch in y-direction. When a first scan line intersected by two adjacent positioning lines, the distance n between these two intersections is recorded and used to calculate angle G in the aforementioned formula. Then the scanner compares two consecutive scan line images shown in FIGS. 17A and 17B. Two consecutive scan lines, line(A) and line(A+n) are shown in FIG. 17B. The corresponding images are plotted overlapping each other in FIG. 17A. Two crests pixel(B) and pixel(B+m) represent the intersections of one positioning line with two consecutive scan lines. Therefore, the distance between the crests is the distance between two scan lines as m pixels, is m*x, where x is the distance between two consecutive pixels. Based upon the geometry illustrated in FIG. 16, the y-direction distance between two scan lines is then calculated in the following: 
           V =( m*x )*tan( G ) 
         [0082]    When the y-direction distance V is equal to the sampling distance H, a new row of the scanned image is recorded. This process continues until the entire image has been scanned.  
         [0083]    Referring now to FIG. 18 in conjunction with FIGS. 4 and 5, an exemplary CIS based scanner has a 448 pixels wide scanning head. When a bar-code element having a module width of 4-pixel, the mapping of the sensor to the 2D bar-code  400  is as follows: 8-pixel to cover white spaces on either side of the bar-code; 12-pixel to cover the left border  530  and right  540  border; and 408 pixels for the bit-stream data area  550 . 408-pixel represents 102 data elements since each element is 4-pixel wide. That means 102 bits of information can be stored in one row of the bar-code  400 . In one embodiment, to store 127 codewords, 36-rows of data elements are required. Using 4-pixel to represent one module as the width of the data element is based on the prior experience for the reliability of decoding a 2D bar-code. Generally, the minimum 2D bar-code data element length/width may be determined by the following formula: 
           BL &gt;=4*( Rp/Rs )pixels 
         [0084]    where: BL is the minimum dimension of a 2D bar-code data element  
         [0085]    Rp is printer resolution  
         [0086]    Rs is scanner resolution  
         [0087]    Referring now to FIG. 19, a typical scanning device  1900  comprises of a signal process chip  1910 , an image sensor  1920 , a document detection module  1930 , flash memory  1940 , ADC module  1950 , RAM  1960 , testing port  1970  and data port  1980 . The core of a scanning device is the signal processing chip  1910  whose main functions include: controlling all attaching modules; decoding binary bar-code data; storing the decoded information in RAM  1960 ; and outputting required data to data port  1980 . Basing on the clock and SP signal sending from signal processing chip  1910 , the image sensor  1920  catches the generated electric voltage (Vout) from the light reflected by a scanned image. The resulting digital data (Vin) is then sent back to signal processing chip  1910 . The document detection module  1930  generates a “paper” signal when detecting a document is inserted. The signal processing chip  1910  controls the start and end procedure of a scanning basing on this “paper” signal. The software used by the signal processing chip  1910  is loaded into the flash memory  1940 . ADC module  1950  converts the analogue data into digital data. The test port  1970  is used for up loading software. The data port  1980  is used for outputting the data from RAM  1960  to another computer.  
         [0088]    The present invention has been described in sufficient detail with a certain degree of particularity. The utilities thereof are appreciated by those skilled in the art. It is understood to those skilled in the art that the present disclosure of embodiments has been made by way of examples only and that numerous changes in the arrangement and combination of parts may be resorted without departing from the spirit and scope of the invention as claimed. Accordingly, the scope of the present invention is defined by the appended claims rather than the forgoing description of embodiments.