Patent Publication Number: US-10319172-B2

Title: Banknote crack detection method and apparatus

Description:
The present application is the national phase of International Patent Application No. PCT/CN2015/083862, titled “BANKNOTE CRACK DETECTION METHOD AND APPARATUS”, filed on Jul. 13, 2015, which claims priority to Chinese Patent Application No. 201510038608.8, titled “BANKNOTE CRACK DETECTION METHOD AND APPARATUS”, filed with the State Intellectual Property Office of the People&#39;s Republic of China on Jan. 26, 2015, both of which applications are incorporated herein by reference in their entireties. 
     TECHNICAL FIELD 
     The present disclosure relates to the field of image processing, and in particular to a banknote crack detection method and a banknote crack detection apparatus. 
     BACKGROUND 
     Banknote processing technology plays a more and more important role in an extensive application of financial self-service equipment, such as ATM machine. Banknote processing technology is no longer limited to basic currency denomination recognition and authentication. In particular, since cash recycling technology has been applied, the detection of circulation ability of banknote becomes more and more important. On one hand, a banknote having a poor condition is easy to be damaged and is not suitable to be circulated in the market. On the other hand, a banknote having a poor condition readily causes failure of self-service equipment, such as banknote overlapping, banknote connection and banknote jam. In the detection of circulation ability of banknote, a detection for banknote crack is recognized as a hard problem in the industry. A banknote crack is usually one or multiple cracks on the banknote face due to tearing, folding, or cutting. If there is a banknote with cracks in self-service equipment, such as an ATM machine, in a process of trading, the banknote likely causes banknote jam when the banknote is conveyed in a channel of the self-service equipment. Once the failure of banknote jam occurs, the service of the equipment has to be stopped until the banknote is cleared by a professional person, which has a serious impact on transactions for the customer. Therefore, it is critical to effectively detect whether there is a crack on the banknote and determine whether the crack is serious enough to cause the failure of banknote jam. Thus, it is necessary to solve the problem of banknote crack detection in the industry. 
     SUMMARY 
     In order to solve the problem of banknote crack detection in the conventional art, the present disclosure provides a banknote crack detection apparatus and a banknote crack detection method, for accurately detecting whether there is a crack on a banknote, calculating a crack length and a crack depth of a banknote, providing a criterion for determining a damage degree of a banknote, thereby rejecting a banknote with serious cracks, and avoiding a problem of banknote jam caused by banknote cracks. 
     The banknote crack detection apparatus includes: an image collection unit, configured to collect an optical transmission image of an inputted banknote; a pre-processing unit, configured to receive a banknote image signal collected by the image collection unit, and perform foreground region positioning and cutting on the banknote image signal; a crack detection unit, configured to receive a banknote foreground region image from the pre-processing unit, determine whether there is a pixel segment with a crack feature at an edge of a foreground region, determine that there is a crack at the edge of the foreground region if there is the pixel segment with the crack feature, detect whether the crack is extended to a deeper row or column than the edge in the manner of detecting whether there is a crack at an edge, and accumulate a crack edge length and a crack depth; a determining unit, configured to determine whether the inputted banknote is qualified according to a detection result of the crack detection unit, where a determining rule is that if there is no crack at any of four edges of the inputted banknote, the inputted banknote is qualified and received, if the inputted banknote has an edge, and the crack edge length is greater than a preset threshold or the crack depth is greater than the preset threshold, the inputted banknote is unqualified and rejected, and if the inputted banknote has an edge, and the crack edge length is less than the preset threshold and the crack depth is less than the preset threshold, the inputted banknote is qualified and received; and a control unit, configured to control operation of each of the above units. 
     Specifically, the pixel segment with the crack feature is an adjacent pixel segment with a certain step, a gray level of each pixel in the pixel segment exceeds a preset gray level threshold, and pixel gray gradients at two end points of the pixel segment both exceeds a preset gradient threshold. 
     The present disclosure also provides a banknote crack detection method, including: step 1, inputting a to-be-detected banknote to start a process; step 2, collecting an optical transmission image of the inputted banknote; step 3, detecting and cutting a foreground region of the inputted banknote, and then placing the foreground region in a pixel coordinate system; step 4, determining whether there is a crack at an edge of the foreground region, turning to step 5 if there is a crack, otherwise, turning to step 8; step 5, accumulating a crack edge length CL and a crack depth CH; step 6, determining whether the crack edge length CL is greater than a preset threshold and whether the crack depth CH is greater than the preset threshold, turning to step 7 if the crack edge length CL is greater than the preset threshold or the crack depth CH is greater than the preset threshold, otherwise, turning to step 8; step 7, determining that the inputted banknote has a crack, rejecting the inputted banknote, and ending the process; and step 8, receiving the inputted banknote, and ending the process. 
     Preferably, in step 4, the determining whether there is a crack at an edge of the foreground region includes: sequentially determining, for each of adjacent pixel segments of a certain step at upper, lower, left and right edges, whether a gray level of each pixel in the pixel segment exceeds a preset gray level threshold, and whether pixel gray gradients at two end points of the pixel segments both exceeds a preset gradient threshold, and determining that there is a crack at the edges of the foreground region if the gray level of each pixel in the pixel segment exceeds the preset gray level threshold, and the pixel gray gradients at two end points of the pixel segments both exceed the preset gradient threshold, otherwise, determining there is no crack at the edges of the foreground region. 
     Preferably, in step 5, the accumulating a crack edge length CL and a crack depth CH includes: detecting whether the crack is extended to a deeper row or column than the edge in the same manner of detecting whether there is a crack at the edge of the foreground region, continuing to accumulate the crack edge length CL and the crack depth CH in a case that the crack is extended, continuing to perform the accumulation on a deeper row or column until meeting a row or column to which the crack is not extended, to obtain the accumulated crack edge length CL and the accumulated crack depth CH. 
     Preferably, a method of detecting a crack at the edge of the foreground region includes steps 51 to 55. 
     In step 51, an initialization setting is performed to set a starting edge point of the crack as P S , an end edge point of the crack as P E , a crack width as Cw=0, a crack edge length as Cl=0, and a crack depth as Ch=0. 
     In step 52, a crack starting edge point and a crack end edge point in pixels in an edge of the foreground region are searched for. If points P(x 01 , y 01 ) and P(x 02 , y 01 ) meet: 
                   {                 x   02     -     x   01     -   1     &lt;=   2                 GrayP   ⁡     (       x   01     ,     y   01       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (       x   02     ,     y   01       )       &lt;     gth   ⁢           ⁢   max                   GrayP   M     &gt;     gth   ⁢           ⁢   min             ,             (     formula   ⁢           ⁢   3     )               
P S =P(x 01 , y 01 ), P E =P(x 02 , y 01 ), CL=Cl+2 and CH=Ch+1 are updated. x 02 −x 01 −1&lt;=2 indicates that a width of the crack region on the foreground region image is no more than 2 pixels. gth max denotes a maximum gray value of an optical transmission image when there is no crack in medium, and is generally set to 200. gth min denotes a minimum gray value of the crack region in the optical transmission image, and is generally set to 250. P M  denotes a point between P(x 01 , y 01 ) and P(x 02 , y 01 ).
 
     In step 53, when Cw=1, that is there is one pixel point between P(x 01 , y 01 ) and P(x 02 , y 01 ), it is determined that 
     
       
         
           
             
               
                 
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     (1) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   5     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 −1, y 01 +1), the end point is updated to P E =P(x 01 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     (2) If 
                   {               GrayP   ⁡     (       x   02     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   6     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 +1, y 01 +1), the end point is updated to P E =P(x 02 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     (3) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (       x   02     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   7     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 −1, y 01 +1), the end point is updated to P E =P(x 02 , y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=2.
 
     (4) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (       x   02     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min             ,             (     formula   ⁢           ⁢   8     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 , y 01 +1), the end point is updated to P E =P(x 02 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=2.
 
     In step 54, when Cw=2, that is there are two pixels between P S  and P E , it is determined that 
     
       
         
           
             
               
                 
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     (1) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   10     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 −1, y 01 +1), the end point is updated to P E =P(x 01 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     (2) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   11     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 , y 01 +1), the end point is updated to P E =P(x 01 +2, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     (3) If 
                   {               GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   3     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   12     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 +1, y 01 +1), the end point is updated to P E =P(x 01 +3, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     (4) If 
                   {               GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (       x   02     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min             ,             (     formula   ⁢           ⁢   13     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 +2, y 01 +1), the end point is updated to P E =P(x 02 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     (5) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   14     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 −1, y 01 +1), the end point is updated to P E =P(x 01 +2, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=2.
 
     (6) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   3     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   15     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 , y 01 +1), the end point is updated to P E =P(x 01 +3, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=2.
 
     (7) If 
                   {               GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   3     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min             ,             (     formula   ⁢           ⁢   16     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 +1, y 01 +1), the end point is updated to P E =P(x 02 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=2.
 
     In other cases, the crack does not extend to the line and the crack detection ends. 
     In step 55, an iterative computation is performed. If Cw=1, step 53 is performed repeatedly, and if Cw=2, step 54 is performed repeatedly, until a complete detection for a crack is finished. 
     The banknote crack detection method according to the present disclosure is based on an imaging principle of a banknote optical transmission image. The gray level of the banknote transmission image is closely related to an intensity of a sensor light source and light transmittance of the banknote. In a case that the intensity of the light source is constant, there is a huge difference between a transmittance of a crack region and a transmittance of a non-crack region. Furthermore, image gray levels in the crack region are the same, and thus the crack region is expressed as a connected region starting from an edge of the banknote where gray levels of all pixel points are close to 255. If the above connected region exists on the banknote transmission image, whether to reject or receive the banknote can be determined by calculating an edge length and a depth of the connected region and comparing them with the preset threshold. The method is stable and can accurately detect a crack on the banknote and calculate the length and the depth of the crack. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is a schematic diagram of a logical structure of a banknote crack detection apparatus according to an embodiment of the present disclosure; 
         FIG. 2  is a flow chart of a banknote crack detection method according to an embodiment of the present disclosure; 
         FIG. 3  is an optical transmission image of a banknote having a crack; 
         FIG. 4  is an original image collected by an optical sensor; 
         FIG. 5  is a banknote foreground region image placed in a coordinate system; 
         FIG. 6  is a schematic diagram illustrating that a crack width of a previous line is one pixel; and 
         FIG. 7  is a schematic diagram illustrating that a crack width of a previous line is two pixels. 
     
    
    
     DETAILED DESCRIPTION OF THE EMBODIMENTS 
     In order to further explain the banknote crack detection apparatus and the banknote crack detection method according to the present disclosure, embodiments will be described in detail with reference to the drawings. 
     As shown in  FIG. 1 , the banknote crack detection apparatus according to an embodiment of the present disclosure includes: a control unit  10 , an image collection unit  20 , a pre-processing unit  30 , a crack detection unit  40  and a determining unit  50 . The image collection unit  20  is configured to collect an optical transmission image of an inputted banknote. The pre-processing unit  30  is configured to receive a banknote image signal collected by the image collection unit  20 , and perform foreground region positioning and cutting on the banknote image signal. The crack detection unit  40  is configured to receive a banknote foreground region image from the pre-processing unit  30 , and determine whether there is a pixel segment with a crack feature at an edge of a foreground region. If there is the pixel segment with the crack feature, there is a crack at the edge of the foreground region, and the crack detection unit  40  continues to detect whether the crack is extended to a deeper row or column than the edge in the manner of detecting whether there is a crack at an edge, and accumulate a crack edge length and a crack depth. The determining unit  50  is configured to determine whether the inputted banknote is qualified according to a detection result of the crack detection unit. The determining rule is that if there is no crack at any of four edges of the inputted banknote, the inputted banknote is qualified and received; if the inputted banknote has an edge, and the crack edge length is greater than a preset threshold or the crack depth is greater than the preset threshold, the inputted banknote is unqualified and rejected; and if the inputted banknote has an edge, and the crack edge length is less than the preset threshold and the crack depth is less than the preset threshold, the inputted banknote is qualified and received. The control unit  10  is configured to control operation of each of the above units. The pixel segment with the crack feature is an adjacent pixel segment with a certain step in which a gray level of each pixel exceeds a preset gray level threshold, and pixel gray gradients at two end points of the pixel segment both exceed a preset gradient threshold. 
     As shown in  FIG. 2 , the banknote crack detection method according to an embodiment of the present disclosure includes step 1 to step 8. In step 1, a to-be-detected banknote is inputted to start a process. In step 2, an optical transmission image of the inputted banknote is collected. In step 3, a foreground region of the inputted banknote is detected and cut, and then the foreground region is placed in a pixel coordinate system. In step 4, it is determined whether there is a crack at an edge of the foreground region. If there is a crack, step 5 is performed, otherwise, step 8 is performed. In step 5, a crack edge length CL and a crack depth CH are accumulated. In step 6, it is determined whether the crack edge length CL is greater than a preset threshold or the crack depth CH is greater than the preset threshold. If the crack edge length CL is greater than the preset threshold or the crack depth CH is greater than the preset threshold, step 7 is performed, otherwise, step 8 is performed. In step 7, it is determined that the inputted banknote has a crack, the inputted banknote is rejected, and the process ends. In step 8, the inputted banknote is received, and the process ends. 
     Principles and steps of the banknote crack detection method are described in detail below. 
     For the process of imaging a banknote through an optional transmission sensor, there is an energy equation as follows:
 
 E=E   0   +E   1   +E   2 +ε  (formula 1).
 
     E denotes energy of light source, E 0  denotes energy absorbed by a medium, E 1  denotes energy reflected by the medium, E 2  denotes energy passing through the medium and is directly reflected by a gray value of a transmission image, and ε denotes inherent energy loss of the optical transmission imaging system. If a light passes through a crack, then: 
     
       
         
           
             
               
                 
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     It is indicated that, in the crack region, energy passing through the medium increases significantly, which is reflected as that an image gray value in the transmission image is close to 255, the entire banknote crack region is presented as a white connected region with a width of one to two pixels, as shown in  FIG. 3 . A crack detection scheme of the banknote crack detection apparatus according to the embodiment is to search for such white connected region, and calculate an edge length of the connected region and a depth of the connected region, to determine whether to receive the inputted banknote based on a preset threshold. A specific process of the banknote crack detection method is described in detail below. 
     1, an initialization setting is performed as follows. A starting edge point of the crack is set as P S , an end edge point of the crack is set as P E , a crack width is set as Cw=0, a crack edge length is set as Cl=0, and a crack depth is set as Ch=0. 
     2, the process starts. A banknote is inputted and an optical transmission image of the banknote is collected. A resolution ratio of an image sensor is set to w dpi. Variables CL and CH are respectively set to represent a crack edge length and a crack depth. The collected banknote transmission image is shown in  FIG. 4 . 
     3, Image cutting is performed. Foreground region edges are detected and a foreground region is cut, and then the cut foreground region is placed in a pixel coordinate system xoy. And as shown in  FIG. 5 , a bottom-left point of the foreground region is located at an ordinate origin of the coordinate system, a height of the foreground region is denoted as H, a width is denoted as W. 
     4, the crack detection is performed for an upper edge of the foreground region as follows. 
     (1) A crack starting edge point and a crack end edge point are searched for in pixels of the upper edge of the foreground region. If points P(x 01 , y 01 ) and P(x 02 , y 01 ) meet: 
                   {                       x   02     -     x   01     -   1     &lt;=   2                 GrayP   ⁡     (       x   01     ,     y   01       )       &lt;     gth   ⁢           ⁢   max                         GrayP   ⁡     (       x   02     ,     y   01       )       &lt;     gth   ⁢           ⁢   max                   GrayP   M     &gt;     gth   ⁢           ⁢   min             ,             (     formula   ⁢           ⁢   3     )               
P S =P(x 01 , y 01 ), P E =P(x 02 , y 01 ), CL=Cl+2 and CH=Ch+1 are updated. In the formula 3, x 02 −x 01 −1&lt;=2 indicates that a width of the crack region on the foreground region image is no more than 2 pixels, gth max denotes a maximum gray value of an optical transmission image when there is no crack in medium, and is generally set to 200, gth min denotes a minimum gray value of a crack region in the optical transmission image, and is generally set to 250, and P M  denotes a point between P(x 01 , y 01 ) and P(x 02 , y 01 ).
 
     (2) If Cw=1, that is there is one pixel point between P(x 01 , y 01 ) and P(x 02 , y 01 ), then 
     
       
         
           
             
               
                 
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                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               max 
                             
                           
                         
                       
                       
                         
                           
                             
                               GrayP 
                               ⁡ 
                               
                                 ( 
                                 
                                   
                                     
                                       x 
                                       02 
                                     
                                     + 
                                     1 
                                   
                                   , 
                                   
                                     
                                       y 
                                       01 
                                     
                                     + 
                                     1 
                                   
                                 
                                 ) 
                               
                             
                             &lt; 
                             
                               gth 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               max 
                             
                           
                         
                       
                     
                     . 
                   
                 
               
               
                 
                   ( 
                   
                     formula 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     4 
                   
                   ) 
                 
               
             
           
         
       
     
     1) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   5     )               
then for the crack in the line, the starting point of is updated to P S =P(x 01 −1, y 01 +1), the end point is updated to P E =P(x 01 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     2) If 
                   {               GrayP   ⁡     (       x   02     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   6     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 +1, y 01 +1), the end point is updated to P E =P(x 02 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     3) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (       x   02     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   7     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 −1, y 01 +1), the end point is updated to P E =P(x 02 , y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=2.
 
     4) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (       x   02     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   min             ,             (     formula   ⁢           ⁢   8     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 , y 01 +1), the end point is updated to P E =P(x 02 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=2.
 
     (3) If Cw=2, that is there are two pixels between P S  and P E , then 
     
       
         
           
             
               
                 
                   { 
                   
                     
                       
                         
                           
                             
                               x 
                               02 
                             
                             = 
                             
                               
                                 x 
                                 01 
                               
                               + 
                               3 
                             
                           
                         
                       
                       
                         
                           
                             
                               GrayP 
                               ⁡ 
                               
                                 ( 
                                 
                                   
                                     
                                       x 
                                       01 
                                     
                                     - 
                                     1 
                                   
                                   , 
                                   
                                     
                                       y 
                                       01 
                                     
                                     + 
                                     1 
                                   
                                 
                                 ) 
                               
                             
                             &lt; 
                             
                               gth 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               max 
                             
                           
                         
                       
                       
                         
                           
                             
                               GrayP 
                               ⁡ 
                               
                                 ( 
                                 
                                   
                                     
                                       x 
                                       02 
                                     
                                     + 
                                     1 
                                   
                                   , 
                                   
                                     
                                       y 
                                       01 
                                     
                                     + 
                                     1 
                                   
                                 
                                 ) 
                               
                             
                             &lt; 
                             
                               gth 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               max 
                             
                           
                         
                       
                     
                     . 
                   
                 
               
               
                 
                   ( 
                   
                     formula 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     9 
                   
                   ) 
                 
               
             
           
         
       
     
     1) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   10     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 −1, y 01 +1), the end point is updated to P E =P(x 01 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     2) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   02     +   2     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   min             ,             (     formula   ⁢           ⁢   11     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 , y 01 +1), the end point is updated to P E =P(x 01 +2, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     3) If 
                   {               GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   3     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   min             ,             (     formula   ⁢           ⁢   12     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 +1, y 01 +1), the end point is updated to P E =P(x 01 +3, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     4) If 
                   {               GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (       x   02     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min             ,             (     formula   ⁢           ⁢   13     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 +2, y 01 +1), the end point is updated to P E =P(x 02 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=1.
 
     5) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max             ,             (     formula   ⁢           ⁢   14     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 −1, y 01 +1), the end point is updated to P E =P(x 01 +2, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=2.
 
     6) If 
                   {               GrayP   ⁡     (       x   01     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                         GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   3     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   ,             (     formula   ⁢           ⁢   15     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 , y 01 +1), the end point is updated to P E =P(x 01 +3, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=2.
 
     7) If 
                   {               GrayP   ⁡     (         x   01     +   1     ,       y   01     +   1       )       &lt;     gth   ⁢           ⁢   max                   GrayP   ⁡     (         x   01     +   2     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min                   GrayP   ⁡     (         x   01     +   3     ,       y   01     +   1       )       &gt;     gth   ⁢           ⁢   min             ,             (     formula   ⁢           ⁢   16     )               
then for the crack in the line, the starting point is updated to P S =P(x 01 +1, y 01 +1), the end point is updated to P E =P(x 02 +1, y 01 +1), the crack edge length is updated to CL=Cl+2, the crack depth is updated to CH=Ch+1, the crack width is updated to Cw=2.
 
     In other cases, it is determined that the crack does not extend to the line and the crack detection ends. 
     (4) An iterative computation is performed. If Cw=1, step (2) is performed repeatedly, and if Cw=2, step (3) is performed repeatedly, until a complete detection for a crack is finished. 
     If CH&gt;CHth or CL&gt;CLth, that is CH is greater than a preset depth threshold, or CL is greater than a preset length threshold, the inputted banknote is rejected, otherwise, the inputted banknote is received. 
     For a crack at a left edge, a right edge or a lower edge of the inputted banknote, a similar search method may be performed to detect the crack edge length and width. A final determination is made to receive or reject the inputted banknote, which is described herein. 
     The banknote crack detection method according to the present disclosure is based on an imaging principle of a banknote optical transmission image. The gray level of the banknote transmission image is closely related to an intensity of a sensor light source and light transmittance of the banknote. In a case that the intensity of the light source is constant, there is a huge difference between a transmittance of a crack region and a transmittance of a non-crack region. Furthermore, image gray levels in the crack region are the same, and thus the crack region is expressed as a connected region starting from an edge of the banknote where gray levels of all pixel points are close to 255. If the above connected region exists on the banknote transmission image, whether to reject or receive the banknote can be determined by calculating an edge length and a depth of the connected region and comparing them with the preset threshold. 
     The above description is only preferred embodiments of the present disclosure. It should be noted that, the above preferred embodiments should not be understood as a limitation to the present disclosure, and the scope of the present disclosure is defined by the claims of the present disclosure. For the person skilled in the art, several improvements and modifications may be made to the present disclosure without departing from the spirit and scope of the present disclosure, and these improvements and modifications also fall into the scope of the present disclosure.