WO2007107050A1 - Fingerprint identification method and system - Google Patents

Fingerprint identification method and system Download PDF

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Publication number
WO2007107050A1
WO2007107050A1 PCT/CN2006/000677 CN2006000677W WO2007107050A1 WO 2007107050 A1 WO2007107050 A1 WO 2007107050A1 CN 2006000677 W CN2006000677 W CN 2006000677W WO 2007107050 A1 WO2007107050 A1 WO 2007107050A1
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Prior art keywords
point
fingerprint
image
detail
ridge
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PCT/CN2006/000677
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French (fr)
Chinese (zh)
Inventor
Quanhong Che
Shukai Chen
Zhinong Li
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Zksoftware Beijing Inc.
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Publication of WO2007107050A1 publication Critical patent/WO2007107050A1/en

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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V40/00Recognition of biometric, human-related or animal-related patterns in image or video data
    • G06V40/10Human or animal bodies, e.g. vehicle occupants or pedestrians; Body parts, e.g. hands
    • G06V40/12Fingerprints or palmprints
    • G06V40/1347Preprocessing; Feature extraction
    • G06V40/1359Extracting features related to ridge properties; Determining the fingerprint type, e.g. whorl or loop

Definitions

  • the invention relates to a biometric identification method, in particular to a fingerprint identification method and system.
  • a biometric identification method in particular to a fingerprint identification method and system.
  • fingerprint recognition methods for personal identification are different.
  • existing fingerprint recognition methods generally have problems of low recognition rate and slow recognition speed. Summary of the invention
  • An object of the present invention is to provide a fingerprint recognition method with high recognition rate and fast recognition speed, and to provide an identification system for implementing the method.
  • the fingerprint identification method of the present invention is special in that it consists of two steps: fingerprint feature extraction and feature matching:
  • the feature extraction steps are: collecting fingerprint images, pre-processing and normalizing the fingerprint images; calculating the block direction, extracting the singular points, calculating the direction map, segmenting the background regions, and refining the singular points; filtering and enhancing the image; calculating the ridge Line density; binarized image and refined, extract minutiae points, detail point verification, delete pseudo-detail points; fingerprint minutiae, singular points, average ridge density and block directional features are finally compressed into fingerprint feature template storage;
  • the feature matching step is: collecting the fingerprint image of the scene, and extracting the fingerprint detail point, the singular point, the average ridge density and the block pattern feature of the fingerprint image according to the above steps; comparing the fingerprint feature template with the fingerprint detail point of the fingerprint image of the scene, the singular point, The average ridge density and block pattern characteristics are judged by the similarity of the two features to determine whether they are the same finger.
  • This fingerprint identification method has the advantages of high recognition rate and fast recognition speed.
  • the feature matching steps are:
  • the angle parameters of the fingerprint template from the database including the point of detail point, the singular point angle, the block side
  • the direction of the connection and the matching detail point pair U, etc. are rotated according to the angle calculated in the previous step, so that it has the same direction as the fingerprint template collected in the field:
  • the matching point pair corresponding to the detail point angle difference greater than a specified value is deleted from U, so that the matching detail point pair in U only contains the most reliable matching detail point pair;
  • the histogram of the row and column directions is calculated, and the statistical histogram of the row and column coordinate differences of the corresponding minutiae points of all matching minutiae pairs is calculated, and the maximum point in the two arrays is found, that is, two fingerprint templates are in progress.
  • the amount of translation after the rotation angle is aligned; hence The position parameters of the fingerprint template from the database, including the coordinates of the detail point, the coordinates of the singular point, the position of the block direction, etc., are translated, and the two fingerprint templates are completely aligned;
  • the matching pairs containing the detail point pairs whose row and column coordinates are larger than a specified value are deleted from [/, and the similarities of the matching pairs are added to obtain the final similarity of the two fingerprint template minutiae points;
  • the singularity similarity is the position, direction and type of the singular points of the pairwise comparison, and the obtained similarities are added;
  • the average ridge density similarity is the difference between the ridge density of the two fingerprint templates and the reciprocal ;
  • the similarity of the block pattern is the difference between the calculated directions in the common part of the effective area of the two fingerprint templates, and the average is taken and the reciprocal is taken;
  • the similarity of the last two fingerprint templates is formed by the above partial and full-circumference feature similarity
  • the fingerprint image is represented as a two-dimensional matrix, and each pixel is an element of the matrix, and the value is 0 to 255, and the dimension of the matrix is the width and height of the image;
  • the detail point of the fingerprint refers to the endpoint or bifurcation point on the fingerprint ridgeline.
  • the fingerprint detail point includes the following features:
  • the coordinate X indicates the position in the fingerprint image;
  • the type indicates whether the ridge line is the end point or the bifurcation point;
  • the direction indicates the detail The direction of the point, if it is the end point type detail point, the direction points from the detail point position to the ridge line. If it is a bifurcated detail point, the direction points from the detail point position to the middle of the bifurcated ridge line;
  • the density g - represents the average density of the ridge lines near the minutiae point;
  • the ridge curvature C - represents the degree of change of the ridge line direction here;
  • Blocking pattern divides the fingerprint image into disjoint small blocks of size BLOCK_SIZEXBLOCK_SIZE. For each small image, the average direction of the ridge line is calculated, so that the size is
  • Blocking pattern the block pattern depicts the global ridgeline of the fingerprint image; in addition, an illegal direction value is used to represent the background area of the fingerprint image segmentation on the block pattern; - Singularity: Fingerprint image
  • ridges are not continuous. These places are called singular points of fingerprints. They are characterized by: coordinates xy, indicating the position in the fingerprint image; type t, singular points are divided into core points, dual core points, and triangles. Point three; direction d, indicating that the direction of the fingerprint ridge line changes the least when moving away from the singular point in this direction.
  • the ridge density c represents the average separation distance of the ridge lines near the singular point.
  • image pre-processing and normalization are to first uniformly filter the image to make the image smoother, and then format the image. Calculate the block pattern to extract the singular point on the block pattern, first calculate each point. Poincare Index: pindex"
  • ⁇ - k, otherwise where M is the number of surrounding pixels, ⁇ , ⁇ indicates the direction of the first point; first take the radius of 1, ie the surrounding 8 points to calculate the Poincare Index, get pl, if its Poincare Index is not Zero, then calculate the Poincare Index with a radius of 2, that is, the outer layer of the periphery, and p2 : pi is the same as p2, indicating that the point is a singular point. If pi is 1, it is a core point type singular point, if pi is one 1 is a triangular point. If pi is 2, it is a dual-core singular point. If p2 is different from pi, but p2>0, pl>0, it is a dual-core singular point; otherwise, it is not a singular point.
  • the filtering and enhancement of the image is: after the anisotropic filter is processed, an enhanced fingerprint image is obtained; the calculated ridge density is: first, the fingerprint ridge density map is calculated, and then the ridge density map is 33 X 33 Mean filtering.
  • the binarized image is refined and refined by: binarizing the enhanced image with the 33 ⁇ 33 mean filtered image as an adaptive threshold; then refining the binarized image into a single-point width ridge Line graph; Image refinement is that each black pixel in the image has 8 adjacent points, according to which it is judged whether the current point should be changed to white. This way After repeated scans, until no black dots are changed to white, a refined fingerprint ridge plot is obtained.
  • the point of extraction is: first eliminate the glitch and noise, that is, by scanning the refined ridge diagram, tracking the ridge line, if the pixel distance from the start point to the end point of the ridge line is less than a set threshold, take it from Wipe off the refinement map; then, extract the minutiae point: that is, any black point on the image, if it is one of the adjacent 8 points, select one starting point, scan clockwise one week to return to the starting point If the change of color is 2 times, it means that the point is a final type of detail point; if it is more than 4 times, the point is a forked type detail point, otherwise it can be ignored, by scanning the effective fingerprint image area , got all the details points;
  • the ridge line curvature of the detail point is represented by the change of direction.
  • the direction difference between the direction near the point and the point is used. Calculate the curvature.
  • the detail point verification and deletion pseudo-detail point is: any detail point, if there is a detail point with a distance less than a set value D1, delete the detail point; such as an end point type detail point and an end point If the distance of the plow point is less than a set value D2, and they are opposite directions, the two minutiae points are deleted at the same time; if the distance between an end point type detail point and a bifurcated type detail point is less than a set value D3, and they are opposite directions , at the same time delete the two minutiae points; if a detail point is less than a set value D4 from the invalid area of the fingerprint image, and the direction is outward, the minutiae point is deleted; the final minutiae point is obtained by the above deletion.
  • An identification system for implementing the fingerprint identification method of the present invention which is characterized in that it comprises a fingerprint collector, a fingerprint recognition system, an identification or control signal output mechanism, and includes a fingerprint image memory, a fingerprint image processor and fingerprint feature data.
  • the fingerprint image processor processes and recognizes the fingerprint image using the method described in one of claims 1-9. It has the advantages of high recognition rate, fast recognition speed, high reliability and strong operability.
  • the characteristic representation of the fingerprint detail point (x, , t, ⁇ g, C ) contains more information, which is beneficial to improve the recognition rate of the system;
  • the characteristic representation of the fingerprint singular point (x, y, i, g) contains more Information, which is conducive to the recognition rate of the system;
  • the average ridge density G as a global feature can be indexed to assist in recognition to speed up.
  • the block pattern of the fingerprint is saved as a global feature in the fingerprint template. The block pattern is compared in the comparison process, and the similarity is merged into the final result.
  • the singular point extraction method can quickly calculate the accurate singularity.
  • Point position and feature Anisotropic filter is used to enhance the fingerprint image, and the effect is very good; after the filter is modulated by the direction of each point on the fingerprint image, the convolution method is used to filter the point. Since the filter kernel of each point is modulated by the direction of the point, the filtering effect is much better than that of image block filtering; by storing the anisotropic filter coefficients in all directions, it is possible to use the look-up table during convolution. law. The speed of filtering is greatly improved; the process of fingerprint matching, the final similarity of fingerprint template matching is obtained by fusing the similarity of various features, which makes the result more reliable; the detail point alignment method, which estimates the preliminary match The details of the point-to-line pair transformation parameters are statistically generated for the valuation. Find the final transformation parameters in the histogram.
  • the fingerprint identification method of the invention has the advantages of high recognition rate, fast recognition speed, high reliability and strong operability.
  • FIG. 1 is a schematic diagram of three singular points in the fingerprint identification method of the present invention.
  • FIG. 2 is a flow chart of a fingerprint identification method of the present invention
  • FIG. 3 is a schematic diagram of 8 points around the pi in the fingerprint identification method of the present invention.
  • FIG. 4 is a schematic diagram of 12 points around p2 in the fingerprint identification method of the present invention.
  • FIG. 5 is a schematic diagram of an anisotropic filter core with a zero direction in the fingerprint identification method of the present invention
  • FIG. 6 is a schematic structural diagram of converting eight adjacent points into a table index number 22 in the fingerprint identification method of the present invention
  • FIG. 7 is a view showing three main refinement ridge noise patterns in the fingerprint identification method of the present invention
  • FIG. 8 is a color change diagram of adjacent 8 points of a final type detail point in the fingerprint identification method of the present invention.
  • FIG. 9 is a color change diagram of adjacent 8 points of a bifurcated detail point in the fingerprint identification method of the present invention.
  • Figure 10 is a connection diagram between the pairs of minutiae points in the fingerprint identification method of the present invention.
  • FIG. 13 is a direction diagram of a fingerprint in the fingerprint identification method of the present invention.
  • Figure 16 is a detailed ridge diagram of a fingerprint in the fingerprint recognition method of the present invention. detailed description
  • the fingerprint identification algorithm involves two main steps: feature extraction and feature matching.
  • Feature extraction Image processing of fingerprints and extraction of fingerprint global and local features, and saved as fingerprint templates;
  • Feature matching Compare two fingerprint feature templates to obtain a matching score, and then determine whether the two fingerprints are the same according to this score.
  • the fingerprint image is represented as a two-dimensional matrix. Each pixel is an element of a matrix, and the value is (0 ⁇ 255). The dimension of the matrix is the width WIDTH and ⁇ HEIGHT of the image. The gray value of the i-line j column on the fingerprint image is expressed as k.
  • the local feature of the fingerprint refers to the endpoint or bifurcation point on the fingerprint ridgeline, which is called the detail point of the fingerprint.
  • the fingerprint detail points include the following features (x, y , t, d, g, c:
  • Coordinate indicates the position in the fingerprint image
  • Type t Indicates whether it is the end point or the bifurcation point of the ridge line
  • Direction Indicates the direction of the detail point. If it is the end point type detail point, the direction points from the detail point position to the ridge line; if it is the bifurcation type detail point, the direction points from the detail point position to the middle of the bifurcated two ridge lines.
  • Treatment Ridge density g indicates the average density of the ridges near the minutiae. The greater the separation distance of the ridges, the lower the density;
  • Ridge curvature C Indicates how much the ridge line changes here.
  • Blocking pattern of X (HEIGHT/BLOCK—SIZE) Blocking pattern of X (WIDTH/BLOCK—SIZE).
  • the block pattern plots the global ridgeline of the fingerprint image and stores it as a global feature of the fingerprint image for later comparison.
  • an illegal direction value is used on the block pattern to indicate the background area after the fingerprint image is segmented (there is no fingerprint image here, or the fingerprint image quality is too poor).
  • the singular points are characterized by (x, y, t, d, c) :
  • X y coordinates indicates the position in the fingerprint image.
  • Type t As shown in Figure 1, the singular points are divided into core point 1-1, dual core point 1-2, and triangle point 1-3.
  • Direction d Indicates that the direction of the fingerprint ridge line changes the least when moving away from the singular point in this direction.
  • Ridge density c indicates the ridge line near the singular point Average separation distance. The average density is average ridge ridge entire fingerprint image density t
  • the image is subjected to 3X3 mean filtering to make the image smoother.
  • the calculation of the block pattern is the same as the calculation of the complete calculation pattern, except that only the direction of the center position of the block is calculated.
  • the calculation of the calculation pattern is specifically described below.
  • Pi is the same as p2, indicating that the point is a singular point. If pi is 1, it is a core point type singular point. If pi is a 1, it is a triangle point. If pi is 2, it is a dual-core type singular point; if p2 and pi Different, but p2>0, pl>0, is a dual-core singular point; in other cases it is not a singular point.
  • the position of the singular point of the fingerprint obtained from the above block pattern is inaccurate, and the singular point position can be re-determined using the currently obtained pattern. Starting from the original position of these singular points, the minimum point can be found in the vicinity, which is the exact position of the singular point. In the new position, the new singular point direction is calculated.
  • an enhanced fingerprint image can be calculated using the following formula:
  • the filter coefficients of all angles and the denominator term in the above formula are pre-calculated and saved, and the table is specifically calculated to directly convolve with the image.
  • ridge density of the fingerprint is very continuous, so the ridge density map ⁇ is then subjected to a mean filtering of 33 X 33 to eliminate noise.
  • the binarized image is then refined into a single point width ridge plot.
  • the algorithm is to consider the eight adjacent points of each black pixel in the image and use them to determine if the current point should be changed to white. This is followed by repeated iterations until a black dot is changed to white, resulting in a refined fingerprint ridge plot.
  • a value of 1 indicates whether the current pixel should be changed to white.
  • the index of the table is constructed as follows: 8 adjacent points are converted to table index number 22 (binary 00010110), see Figure 6.
  • the refined fingerprint ridge diagram Due to the noise of the image, the refined fingerprint ridge diagram has burrs and noise, so when extracting the minutiae, they must be eliminated first, otherwise many false minutiae will be extracted. See Figure 7 for the three main refinement ridge noise maps.
  • the ridgeline is tracked, and if the pixel distance from the start to the end of the ridge is less than a set threshold, it can be erased from the refinement.
  • the ridge curvature of the detail point can be represented by a change in direction.
  • r is the radius constant, usually taken as 10.
  • Fingerprint minutiae points and other global features are eventually compressed into fingerprint feature template stores.
  • the minutiae point matching method is based on the detail point connection.
  • Uy is the angle of the connection.
  • cqi,co/ 2 , c 0 / 3 , c 0 / 4 , co/ 5 are positive constant coefficients.
  • d, a, 6 are respectively defined as before, c, g, t are the curvature, ridge density and type code of each minutiae (the bifurcation minutiae is 1, and the terminal type minutiae is 0).
  • D is less than a given value ThresholdD, the two minutiae pairs are considered to match.
  • ⁇ Hi ⁇ , ⁇ H ⁇ is actually a statistical histogram of the row and column coordinate differences of all corresponding minutiae points matching the minutiae point pairs. Finding the maximum point in the two arrays is the amount of translation (xo, y 0 ) of the two fingerprint templates needed after the rotation angle is aligned.
  • Singular point similarity & The similarity of the position, direction and type of the singular points of the pairwise comparison; the average ridge density similarity: the difference between the ridge density of the two fingerprint templates and the reciprocal;
  • the similarity of the block pattern & In the common part of the effective area of the two fingerprint templates, the difference of the direction is calculated, and the average is taken and the reciprocal is taken.
  • k m , k s , k s , k d are the weighting coefficients of the matching similarities of various features.
  • the calculation of the average ridge density similarity is the difference between the two average ridge densities. Therefore, if one-to-many identification is performed, the fingerprint templates in the database can be sorted according to the average ridge density G, for the on-site fingerprint. When identifying, it is possible to match the fingerprint template with the highest average ridge density in the database. Therefore, since the fingerprint template in the database is indexed according to G, the recognition process can be greatly accelerated.
  • Figure 1 is the original fingerprint image
  • Figure 12 is the normalized image
  • Figure 13 is the orientation image
  • Figure 14 is the enhanced image
  • Figure 15 is the second image
  • Figure 16 is a refined ridge diagram.
  • a fingerprint identification system for implementing the fingerprint identification method of the present invention includes a fingerprint collector, a fingerprint recognition system, an identification or control signal output mechanism, and includes a fingerprint image memory, a fingerprint image processor, and a fingerprint feature data memory; the fingerprint image processor is The fingerprint image is processed and identified using the method described in one of claims 1-9.

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Abstract

The present invention relates to a fingerprint identification method. In order to overcoming the low identification rate and slow identification speed of known identifying method, it comprises the steps of fingerprint characteristic extracting and characteristic matching. The fingerprint characteristic extracting step is: acquiring the fingerprint image, preprocessing and normalizing the fingerprint image; calculating blocking directional diagram and extracting singular point, calculating directional diagram, partitioning background area and thinning the singular point; filtering and enhancement of the image; calculating the density of ridge line, binarization and thinning of the image, extracting and verifying the detailed point, then deleting the counterfeit detailed point; compressing the fingerprint detailed point, singular point, average density of the ridge line and the characteristic of blocking directional diagram into fingerprint characteristic template and saving. The fingerprint characteristic matching step is: acquiring the fingerprint image, extracting the fingerprint detailed point, singular point, average density of the ridge line and the characteristic of blocking directional diagram of the fingerprint image; comparing the fingerprint detailed point, singular point, average density of the ridge line and the characteristic of blocking directional diagram of the fingerprint characteristic template and the fingerprint image, determining whether the fingerprints are from same finger by the similarity of their characteristic. The present invention has high identification rate, fast identification speed, high reliability and good operability.

Description

指纹识别方法与系统 技术领域  Fingerprint identification method and system
本发明涉及一种生物识别方法, 特别是涉及一种指紋识别方法与系统。 背景技术 , 目前, 用于个人身份识别的指紋识别方法各异, 但是, 现有指紋识别方法都普遍存 在识别率低, 识别速度慢的问题。 发明内容  The invention relates to a biometric identification method, in particular to a fingerprint identification method and system. BACKGROUND OF THE INVENTION At present, fingerprint recognition methods for personal identification are different. However, existing fingerprint recognition methods generally have problems of low recognition rate and slow recognition speed. Summary of the invention
本发明的目的在于克服现有技术的上述缺陷, 提供一种识别率高, 识别速度快的指 纹识别方法, 本发明的目的还在于提供实施该方法的识别系统。  SUMMARY OF THE INVENTION An object of the present invention is to provide a fingerprint recognition method with high recognition rate and fast recognition speed, and to provide an identification system for implementing the method.
为实现上述目的, 本发明指紋识别方法的特别之处在于由指紋特征提取和特征匹配 两个步骤组成:  In order to achieve the above object, the fingerprint identification method of the present invention is special in that it consists of two steps: fingerprint feature extraction and feature matching:
特征提取步骤是: 采集指紋图像, 对指纹图像进行预处理和规格化; 计算分块方向, 图提取奇异点, 计算方向图、 分割背景区域并细化奇异点; 图像的滤波与增强; 计算脊 线密度; 二值化图像并细化, 提取细节点, 细节点验证, 删除伪细节点; 指纹细节点、 奇异点、 平均脊密度和块方向图特征最终被压缩成为指纹特征模板存储;  The feature extraction steps are: collecting fingerprint images, pre-processing and normalizing the fingerprint images; calculating the block direction, extracting the singular points, calculating the direction map, segmenting the background regions, and refining the singular points; filtering and enhancing the image; calculating the ridge Line density; binarized image and refined, extract minutiae points, detail point verification, delete pseudo-detail points; fingerprint minutiae, singular points, average ridge density and block directional features are finally compressed into fingerprint feature template storage;
特征匹配步骤是:采集现场指纹图像,按上述步骤提取现场指紋图像的指纹细节点、 奇异点、平均脊密度和块方向图特征; 对比指紋特征模板与现场指纹图像的指紋细节点、 奇异点、 平均脊密度和块方向图特征, 通过两者特征的相似度来判断是否是同一手指。 此指紋识别方法具有识别率高, 识别速度快的优点。  The feature matching step is: collecting the fingerprint image of the scene, and extracting the fingerprint detail point, the singular point, the average ridge density and the block pattern feature of the fingerprint image according to the above steps; comparing the fingerprint feature template with the fingerprint detail point of the fingerprint image of the scene, the singular point, The average ridge density and block pattern characteristics are judged by the similarity of the two features to determine whether they are the same finger. This fingerprint identification method has the advantages of high recognition rate and fast recognition speed.
作为优化, 特征匹配步骤是:  As an optimization, the feature matching steps are:
分别计算数据库模板和现场指紋模板中细节点对连线距离、 细节点对连线与细节点 方向的夹角和细节点对连线的角度; 规定细节点对连线距离上限值和下限值, 删除细节 点对连线距离大于此上限值和小于此下限值的细节点对数据, 得到一个较小范围的细节 点对数据 U;  Calculate the angle of the detail point pair connection, the angle between the detail point pair connection and the detail point direction, and the angle of the detail point pair connection in the database template and the on-site fingerprint template respectively; Specify the upper limit and lower limit of the connection point to the connection distance Value, delete the detail point pair connection point is greater than the upper limit value and the detail point pair data less than the lower limit value, to obtain a smaller range of detail point pair data U;
采用直方图计算旋转角度;  Calculate the rotation angle using a histogram;
把来自数据库的指紋模板的各个角度参数, 包括细节点角度、 奇异点角度、 分块方 向图和匹配细节点对 U中的连线方向等, 按照上一步计算的角度进行旋转, 使得它同现 场采集的指紋模板具有一致方向: The angle parameters of the fingerprint template from the database, including the point of detail point, the singular point angle, the block side The direction of the connection and the matching detail point pair U, etc., are rotated according to the angle calculated in the previous step, so that it has the same direction as the fingerprint template collected in the field:
从 U中删除掉对应细节点角度差大于一个指定值的匹配点对, 使 U中的匹配细节点 对只包含最可靠的匹配细节点对;  The matching point pair corresponding to the detail point angle difference greater than a specified value is deleted from U, so that the matching detail point pair in U only contains the most reliable matching detail point pair;
同样的方法,计算行列方向的直方图,计算所有匹配细节点对的对应细节点的行列座 标差的统计直方图, 找出这两个数组中的最大值点, 就是两个指紋模板在进行旋转角度 对齐后的平移量; „ 把来自数据库的指紋模板的各个位置参数,包括细节点坐标、奇异点座标、块方向位 置等, 进行平移, 两个指紋模板完全对齐;  In the same way, the histogram of the row and column directions is calculated, and the statistical histogram of the row and column coordinate differences of the corresponding minutiae points of all matching minutiae pairs is calculated, and the maximum point in the two arrays is found, that is, two fingerprint templates are in progress. The amount of translation after the rotation angle is aligned; „ The position parameters of the fingerprint template from the database, including the coordinates of the detail point, the coordinates of the singular point, the position of the block direction, etc., are translated, and the two fingerprint templates are completely aligned;
从 [/中删除掉包含行列座标差大于一个指定值的细节点对的匹配对, 这些匹配对的 相似度累加起来得到两个指紋模板细节点集的最终相似度;  The matching pairs containing the detail point pairs whose row and column coordinates are larger than a specified value are deleted from [/, and the similarities of the matching pairs are added to obtain the final similarity of the two fingerprint template minutiae points;
计算出全局特征的相似度- 奇异点相似度是两两比对奇异点的位置、 方向和类型, 得到的相似度相加; 平均脊密度相似度是两个指纹模板脊密度的差并取倒数;  Calculate the similarity of the global features - the singularity similarity is the position, direction and type of the singular points of the pairwise comparison, and the obtained similarities are added; the average ridge density similarity is the difference between the ridge density of the two fingerprint templates and the reciprocal ;
块方向图的相似度是在两个指紋模板有效区域的公共部分,计算方向的差值,累加后 平均并取倒数;  The similarity of the block pattern is the difference between the calculated directions in the common part of the effective area of the two fingerprint templates, and the average is taken and the reciprocal is taken;
最后的两个指紋模板的相似度由上面的局部和全周特征相似度融合而成;  The similarity of the last two fingerprint templates is formed by the above partial and full-circumference feature similarity;
进行一对多的识别时, 先将数据库中指紋模板的平均脊密度进行排序, 对现场指紋 进行识别时, 先与数据库中的平均脊密度最接近的指纹模板进行匹配, 以加快识别速度; 平均脊密度是整个指紋图像的平均脊密度。  When performing one-to-many recognition, first sort the average ridge density of the fingerprint template in the database, and when identifying the on-site fingerprint, first match the fingerprint template closest to the average ridge density in the database to speed up the recognition; Ridge density is the average ridge density of the entire fingerprint image.
作为优化,指紋特征提取时:指紋图像表示为一个二维矩阵,每一个像素就是矩阵的 一个元素, 取值为 0〜255, 矩阵的维度就是图像的宽和高;  As an optimization, when the fingerprint feature is extracted: the fingerprint image is represented as a two-dimensional matrix, and each pixel is an element of the matrix, and the value is 0 to 255, and the dimension of the matrix is the width and height of the image;
指纹的细节点是指指紋脊线上的端点或者分叉点, 指纹细节点包括如下特征: 座标 X 表示在指纹图像中的位置; 类型 表示是脊线的端点还是分叉点; 方向 表示细节点 的方向, 若是端点型的细节点, 则该方向的从细节点位置指向脊线, 若是分叉型细节点, 则该方向从细节点位置指向分叉后的两条脊线的中间; 脊密度 g -表示在该细节点附近的 脊线的平均密度; 脊曲率 C -表示脊线方向在此处的变化程度; The detail point of the fingerprint refers to the endpoint or bifurcation point on the fingerprint ridgeline. The fingerprint detail point includes the following features: The coordinate X indicates the position in the fingerprint image; the type indicates whether the ridge line is the end point or the bifurcation point; the direction indicates the detail The direction of the point, if it is the end point type detail point, the direction points from the detail point position to the ridge line. If it is a bifurcated detail point, the direction points from the detail point position to the middle of the bifurcated ridge line; The density g - represents the average density of the ridge lines near the minutiae point; the ridge curvature C - represents the degree of change of the ridge line direction here;
分块方向图:是把指紋图像分成 BLOCK—SIZEXBLOCK_SIZE大小的互不相交的小 块, 对每一块小图像, 计算出脊线的平均方向, 从而得到大小为  Blocking pattern: divides the fingerprint image into disjoint small blocks of size BLOCK_SIZEXBLOCK_SIZE. For each small image, the average direction of the ridge line is calculated, so that the size is
(HEIGHT/BLOCK_SIZE) X (WIDTH/BLOCK— SIZE) 的分块方向图; 分块方向图刻画指紋图像的全局脊线走向; 另外, 在分块方向图上用一 个非法的方向值表示对指紋图像分割后的背景区域; - 奇异点: 指纹图像上有一些地方的脊线方向不连续, 这些地方称为指紋的奇异点, 其特征有: 座标 x y, 表示在指紋图像中的位置; 类型 t , 奇异点分为核心点、 双核心点 以及三角点三种; 方向 d, 表示沿着该方向远离奇异点时, 指纹脊线方向变化最小。脊密 度 c , 表示在该奇异点附近的脊线的平均间隔距离。 (HEIGHT/BLOCK_SIZE) X (WIDTH/BLOCK— SIZE) Blocking pattern; the block pattern depicts the global ridgeline of the fingerprint image; in addition, an illegal direction value is used to represent the background area of the fingerprint image segmentation on the block pattern; - Singularity: Fingerprint image There are some places where the ridges are not continuous. These places are called singular points of fingerprints. They are characterized by: coordinates xy, indicating the position in the fingerprint image; type t, singular points are divided into core points, dual core points, and triangles. Point three; direction d, indicating that the direction of the fingerprint ridge line changes the least when moving away from the singular point in this direction. The ridge density c represents the average separation distance of the ridge lines near the singular point.
作为优化, 图像预处理和规格化是首先对图像进行均匀值滤波, 使图像更加平滑, 然 后, 对图像进行格式化; 计算分块方向图提取奇异点是在块方向图上, 先计算每一点的 Poincare Index: pindex" As an optimization, image pre-processing and normalization are to first uniformly filter the image to make the image smoother, and then format the image. Calculate the block pattern to extract the singular point on the block pattern, first calculate each point. Poincare Index: pindex"
Figure imgf000005_0001
Figure imgf000005_0001
k, if μ |< -,  k, if μ |< -,
2  2
π + k, if \ k \< ~  π + k, if \ k \< ~
2  2
π - k, otherwise 其中, M为周围像素点的个数, Ο,·表示第 个点的方向; 先取半径为 1, 即周边的 8 个点来计算 Poincare Index, 得 pl, 如果其 Poincare Index非零, 再以半径 2, 即周边的 外一层 来计算 Poincare Index, 得 p2: pi与 p2相同, 说明该点是一个奇异点, 若 pi为 1则是核心点型奇异点, 若 pi为一 1则是三角点, 若 pi为 2则是双核型奇异点; 若 p2 与 pi不同, 但 p2>0, pl>0, 则是双核型奇异点; 其他情况则不是奇异点。 π - k, otherwise where M is the number of surrounding pixels, Ο, · indicates the direction of the first point; first take the radius of 1, ie the surrounding 8 points to calculate the Poincare Index, get pl, if its Poincare Index is not Zero, then calculate the Poincare Index with a radius of 2, that is, the outer layer of the periphery, and p2 : pi is the same as p2, indicating that the point is a singular point. If pi is 1, it is a core point type singular point, if pi is one 1 is a triangular point. If pi is 2, it is a dual-core singular point. If p2 is different from pi, but p2>0, pl>0, it is a dual-core singular point; otherwise, it is not a singular point.
作为优化, 计算方向图、 分割背景区域并细化奇异点是: 规格化后的图像, 计算第一 点的脊线方向, 并同时计算出脊线方向的一致性, 取得方向图, 重新确定奇异点位置, 从这些奇异点的原始位置出发, 找到奇异点的精确位置, 在新的位置, 计算出新的奇异 点方向。  As an optimization, calculate the direction map, segment the background area and refine the singular points: the normalized image, calculate the ridge direction of the first point, and simultaneously calculate the consistency of the ridge line direction, obtain the direction map, and re-determine the singularity Point position, starting from the original position of these singular points, find the exact position of the singular point, and calculate the new singular point direction in the new position.
作为优化,图像的滤波与增强是:通过各向异性滤波器处理后,得到增强的指纹图像; 计算脊线密度是: 先计算指紋脊线密度图, 再对脊线密度图进行 33 X 33的均值滤波。  As an optimization, the filtering and enhancement of the image is: after the anisotropic filter is processed, an enhanced fingerprint image is obtained; the calculated ridge density is: first, the fingerprint ridge density map is calculated, and then the ridge density map is 33 X 33 Mean filtering.
作为优化, 二值化图像并细化是: 用 33 X 33均值滤波后的图像作为自适应的阀值来 二值化增强后的图像; 然后把二值化的图像细化成单点宽度的脊线图; 图像细化是图像 中的每一个黑色像素有 8个相邻点, 根据它们来判断当前点是否应该被改为白色。 这样 经过多次的重复扫描, 直到没有一个黑色点被改成白色, 就得到了细化的指紋脊线图。 作为优化,提取细节点是:先消除毛刺和噪声,即通过扫描细化的脊线图,跟踪脊线, 如果从脊线起点到终点的像素距离小于一个设定的阀值, 就把它从细化图上抹去; 然后, 提取出细节点: 即对图像上的任何一个黑色点, 如果其相邻的 8个点中, 任选一个起始 点, 按顺时针方向扫描一周回到起始点, 其颜色的变化如果是 2次的话, 说明该点是一 个终结型细节点; 如果是 4次以上的话, 该点是分叉型细节点, 其他情况则可以忽略, 通过扫描有效的指紋图像区域, 得到了所有的细节点; As an optimization, the binarized image is refined and refined by: binarizing the enhanced image with the 33×33 mean filtered image as an adaptive threshold; then refining the binarized image into a single-point width ridge Line graph; Image refinement is that each black pixel in the image has 8 adjacent points, according to which it is judged whether the current point should be changed to white. This way After repeated scans, until no black dots are changed to white, a refined fingerprint ridge plot is obtained. As an optimization, the point of extraction is: first eliminate the glitch and noise, that is, by scanning the refined ridge diagram, tracking the ridge line, if the pixel distance from the start point to the end point of the ridge line is less than a set threshold, take it from Wipe off the refinement map; then, extract the minutiae point: that is, any black point on the image, if it is one of the adjacent 8 points, select one starting point, scan clockwise one week to return to the starting point If the change of color is 2 times, it means that the point is a final type of detail point; if it is more than 4 times, the point is a forked type detail point, otherwise it can be ignored, by scanning the effective fingerprint image area , got all the details points;
在细节点处跟踪脊线, 得到脊线的方向; 细节点的脊线曲率, 用方向的变化来表示, 在指紋图像的方向图上, 用该点附近的方向与该点的方向差值来计算曲率。  Track the ridge line at the detail point to get the direction of the ridge line; the ridge line curvature of the detail point is represented by the change of direction. On the pattern of the fingerprint image, the direction difference between the direction near the point and the point is used. Calculate the curvature.
作为优化, 细节点验证和删除伪细节点是: 任意一个细节点, 若存在来一个细节点与 之距离小于一个设定值 D1 , 则删除该细节点; 如一个端点型细节点与来一个端点犁细节 点距离小于一个设定值 D2, 且它们方向相反, 则同时删除这两个细节点; 如果一个端点 型细节点与一个分叉型细节点距离小于一个设定值 D3, 且它们方向相反, 则同时删除这 两个细节点; 如果一个细节点离指紋图像的无效区域小于一个设定值 D4, 且方向朝外, 则删除该细节点; 通过上述删除得到最终的细节点。  As an optimization, the detail point verification and deletion pseudo-detail point is: any detail point, if there is a detail point with a distance less than a set value D1, delete the detail point; such as an end point type detail point and an end point If the distance of the plow point is less than a set value D2, and they are opposite directions, the two minutiae points are deleted at the same time; if the distance between an end point type detail point and a bifurcated type detail point is less than a set value D3, and they are opposite directions , at the same time delete the two minutiae points; if a detail point is less than a set value D4 from the invalid area of the fingerprint image, and the direction is outward, the minutiae point is deleted; the final minutiae point is obtained by the above deletion.
一种用于实施本发明指纹识别方法的识别系统,其特别之处在于包括指紋采集器、指 纹识别系统、 识别或和控制信号输出机构; 其中包括指紋图像存储器、 指紋图像处理器 和指紋特征数据存储器; 指紋图像处理器是利用要求 1-9之一所述方法对指紋图像进行 处理和识 。 其具有识别率高, 识别速度快, 可靠性强, 可操作性强的优点。  An identification system for implementing the fingerprint identification method of the present invention, which is characterized in that it comprises a fingerprint collector, a fingerprint recognition system, an identification or control signal output mechanism, and includes a fingerprint image memory, a fingerprint image processor and fingerprint feature data. The fingerprint image processor processes and recognizes the fingerprint image using the method described in one of claims 1-9. It has the advantages of high recognition rate, fast recognition speed, high reliability and strong operability.
其中: 指紋细节点的特征表示(x, , t, ^ g, C)包含较多信息, 有利于提高系统的识别 率; 指纹奇异点的特征表示 (x, y, i, g) 包含较多信息, 有利于提髙系统的识别率; 平 均脊线密度 G作为一个全局特征, 可以以此进行索引, 辅助识别以加快速度。 指紋的块 方向图作为一个全局特征保存在指紋模板中, 在比对过程中进行块方向图比对, 其相似 度融合到最后的结果中; 奇异点的提取方法, 可以快速计算出准确的奇异点位置和特征; 各向异性滤波器用于增强指纹图像, 效果很好; 滤波器受指纹图像上的各点方向调制后, 采用卷积的方法, 对该点进行滤波。 由于每一点的滤波器核都受到该点方向的调制, 因 此滤波的效果比对图像分块滤波要好得多; 通过保存各个方向的各向异性滤波器系数, 使得可以在卷积时, 使用査表法。 大大提髙了滤波的速度; 指紋比对的流程, 指紋模板 匹配的最后的相似度通过融合各种特征的相似度得到, 这使得结果更为可靠; 细节点对 齐方法, 该方法通过估计初步匹配的细节点连线对的变换参数, 对估值进行统计生成的 直方图中找到最终的变换参数。 Among them: The characteristic representation of the fingerprint detail point (x, , t, ^ g, C ) contains more information, which is beneficial to improve the recognition rate of the system; the characteristic representation of the fingerprint singular point (x, y, i, g) contains more Information, which is conducive to the recognition rate of the system; the average ridge density G as a global feature can be indexed to assist in recognition to speed up. The block pattern of the fingerprint is saved as a global feature in the fingerprint template. The block pattern is compared in the comparison process, and the similarity is merged into the final result. The singular point extraction method can quickly calculate the accurate singularity. Point position and feature; Anisotropic filter is used to enhance the fingerprint image, and the effect is very good; after the filter is modulated by the direction of each point on the fingerprint image, the convolution method is used to filter the point. Since the filter kernel of each point is modulated by the direction of the point, the filtering effect is much better than that of image block filtering; by storing the anisotropic filter coefficients in all directions, it is possible to use the look-up table during convolution. law. The speed of filtering is greatly improved; the process of fingerprint matching, the final similarity of fingerprint template matching is obtained by fusing the similarity of various features, which makes the result more reliable; the detail point alignment method, which estimates the preliminary match The details of the point-to-line pair transformation parameters are statistically generated for the valuation. Find the final transformation parameters in the histogram.
采用上述技术方案后, 本发明指纹识别方法具有识别率高, 识别速度快, 可靠性强, 可操作性强的优点。 附图说明  After adopting the above technical solution, the fingerprint identification method of the invention has the advantages of high recognition rate, fast recognition speed, high reliability and strong operability. DRAWINGS
图 1是本发明指紋识别方法中三种奇异点的示意图;  1 is a schematic diagram of three singular points in the fingerprint identification method of the present invention;
图 2是本发明指纹识别方法的流程图;  2 is a flow chart of a fingerprint identification method of the present invention;
图 3是本发明指纹识别方法中 pi的周边 8个点的示意图;  3 is a schematic diagram of 8 points around the pi in the fingerprint identification method of the present invention;
图 4是是本发明指紋识别方法中 p2的周边 12个点的示意图;  4 is a schematic diagram of 12 points around p2 in the fingerprint identification method of the present invention;
图 5是本发明指紋识别方法中方向为零的各向异性滤波器核的示意图;  5 is a schematic diagram of an anisotropic filter core with a zero direction in the fingerprint identification method of the present invention;
图 6是本发明指紋识别方法中 8个相邻点转换为表索引号 22的构造示意图; 图 7是本发明指紋识别方法中三种主要的细化脊线噪声图;  6 is a schematic structural diagram of converting eight adjacent points into a table index number 22 in the fingerprint identification method of the present invention; FIG. 7 is a view showing three main refinement ridge noise patterns in the fingerprint identification method of the present invention;
图 8是本发明指紋识别方法中终结型细节点的相邻 8点的颜色变化图;  8 is a color change diagram of adjacent 8 points of a final type detail point in the fingerprint identification method of the present invention;
图 9是本发明指紋识别方法中分叉型细节点的相邻 8点的颜色变化图;  9 is a color change diagram of adjacent 8 points of a bifurcated detail point in the fingerprint identification method of the present invention;
图 10是本发明指紋识别方法中细节点对之间的连线图;  Figure 10 is a connection diagram between the pairs of minutiae points in the fingerprint identification method of the present invention;
图 11是本发明指纹识别方法中的原指纹图像;  11 is an original fingerprint image in the fingerprint identification method of the present invention;
图 12是本发明指紋识别方法中的正规化后的指纹图像;  12 is a normalized fingerprint image in the fingerprint identification method of the present invention;
图 13是本发明指纹识别方法中的指纹的方向图;  13 is a direction diagram of a fingerprint in the fingerprint identification method of the present invention;
图 14是本发明指紋识别方法中的指纹的增强图像;  14 is an enhanced image of a fingerprint in the fingerprint recognition method of the present invention;
图 15是本发明指纹识别方法中的指纹的二值化图像;  15 is a binarized image of a fingerprint in the fingerprint identification method of the present invention;
图 16是本发明指纹识别方法中的指纹的细化脊线图。 具体实施方式  Figure 16 is a detailed ridge diagram of a fingerprint in the fingerprint recognition method of the present invention. detailed description
下面结合附图和具体实例作更进一步的说明- 指紋识别算法涉及两个最主要的步骤: 特征提取和特征匹配。  The following further describes with reference to the accompanying drawings and specific examples - the fingerprint identification algorithm involves two main steps: feature extraction and feature matching.
特征提取: 指紋的图像处理以及提取指紋全局和局部特征, 并保存为指纹模板; 特征匹配: 把两个指紋特征模板进行比对, 得到一个匹配分数, 然后根据这个分数 决定两个指纹是否同一。  Feature extraction: Image processing of fingerprints and extraction of fingerprint global and local features, and saved as fingerprint templates; Feature matching: Compare two fingerprint feature templates to obtain a matching score, and then determine whether the two fingerprints are the same according to this score.
一、 特征提取  First, feature extraction
1、 概念和约定 1) 指纹图像的表示 1, concepts and conventions 1) Representation of fingerprint image
指纹图像表示为一个二维矩阵,每一个像素就是个矩阵的一个元素,取值为(0〜255), ' 矩阵的维度就是图像的宽 WIDTH和髙 HEIGHT。 指纹图像上的 i行 j列的灰度值表示为 k 。  The fingerprint image is represented as a two-dimensional matrix. Each pixel is an element of a matrix, and the value is (0~255). The dimension of the matrix is the width WIDTH and 髙 HEIGHT of the image. The gray value of the i-line j column on the fingerprint image is expressed as k.
2)局部特征的表示  2) Representation of local features
指纹的局部特征是指指纹脊线上的端点或者分叉点,称为指纹的细节点。指纹细节点 包括如下特征 (x, y, t, d, g, c : The local feature of the fingerprint refers to the endpoint or bifurcation point on the fingerprint ridgeline, which is called the detail point of the fingerprint. The fingerprint detail points include the following features (x, y , t, d, g, c:
座标; : 表示在指纹图像中的位置;  Coordinate; : indicates the position in the fingerprint image;
• 类型 t : 表示是脊线的端点还是分叉点;  • Type t : Indicates whether it is the end point or the bifurcation point of the ridge line;
方向 : 表示细节点的方向。 若是端点型的细节点, 则该方向的从细节点位置指向 脊线; 若是分叉型细节点, 则该方向从细节点位置指向分叉后的两条脊线的, 中间。 „ 脊密度 g : 表示在该细节点附近的脊线的平均密度。 脊线的间隔距离越大, 密度就 越小;  Direction : Indicates the direction of the detail point. If it is the end point type detail point, the direction points from the detail point position to the ridge line; if it is the bifurcation type detail point, the direction points from the detail point position to the middle of the bifurcated two ridge lines. „ Ridge density g : indicates the average density of the ridges near the minutiae. The greater the separation distance of the ridges, the lower the density;
脊曲率 C : 表示脊线方向在此处的变化程度 .  Ridge curvature C : Indicates how much the ridge line changes here.
3)全局特征的表示 '  3) Representation of global features '
分块方向图  Blocking pattern
把指紋图像分成 BLOCK— SIZE X BLOCK— SIZE大小的互不相交的小块, 对每一块小 图像, 计算出脊线的平均方向, 从而得到大小为  Divide the fingerprint image into disjoint small blocks of size BLOCK_SIZE X BLOCK-SIZE. For each small image, calculate the average direction of the ridge line, and get the size
(HEIGHT/BLOCK— SIZE) X (WIDTH/BLOCK— SIZE) 的分块方向图。 块方向图刻画了指纹图像的全局脊线走向, 把作为指纹图像的全局特征 ' 进行存储, 用于以后的比对。 另外, 在分块方向图上用一个非法的方向值表示对指纹图 像分割后的背景区域 (此处没有指紋图像, 或指紋图像质量太差)。  (HEIGHT/BLOCK—SIZE) Blocking pattern of X (WIDTH/BLOCK—SIZE). The block pattern plots the global ridgeline of the fingerprint image and stores it as a global feature of the fingerprint image for later comparison. In addition, an illegal direction value is used on the block pattern to indicate the background area after the fingerprint image is segmented (there is no fingerprint image here, or the fingerprint image quality is too poor).
奇异点  Singularity
指紋的脊线方向具有连续性的特征, 即相邻位置的脊线方向一般来说是一致的、或者 是变化不大。 然而, 指紋图像上也有一些地方的脊线方向不连续, 这些地方称为指紋的 奇异点 <=  The ridge direction of the fingerprint has the characteristic of continuity, that is, the ridge direction of the adjacent position is generally uniform or does not change much. However, there are also some places on the fingerprint image where the ridge directions are not continuous. These places are called singular points of the fingerprint <=
奇异点的特征有 (x,y,t,d,c) : X y座标: 表示在指纹图像中的位置。 类型 t : 如图 1 所示, 奇异点分为核心点 1-1、 双核心点 1-2以及三角点 1-3三种。 方向 d: 表示沿着该 方向远离奇异点时, 指纹脊线方向变化最小。 脊密度 c : 表示在该奇异点附近的脊线的 平均间隔距离。 平均脊线密度是整个指纹图像的平均脊线密度 t The singular points are characterized by (x, y, t, d, c) : X y coordinates: indicates the position in the fingerprint image. Type t: As shown in Figure 1, the singular points are divided into core point 1-1, dual core point 1-2, and triangle point 1-3. Direction d: Indicates that the direction of the fingerprint ridge line changes the least when moving away from the singular point in this direction. Ridge density c : indicates the ridge line near the singular point Average separation distance. The average density is average ridge ridge entire fingerprint image density t
2、 算法流程  2, the algorithm flow
2.1 流程图, 请见附图 2。  2.1 Flow chart, please see Figure 2.
2.2 图像预处理和规格化  2.2 Image Preprocessing and Normalization
首先对图像进行 3X3的均值滤波, 使得图像更加平滑。
Figure imgf000009_0001
First, the image is subjected to 3X3 mean filtering to make the image smoother.
Figure imgf000009_0001
其中, 是原始图像, ¾x是平滑后的图像, 这里取 w=l。 Among them, is the original image, 3⁄4 x is the smoothed image, here take w=l.
然后, 对图像进行规格化:
Figure imgf000009_0002
Then, normalize the image:
Figure imgf000009_0002
Δ  Δ
Mni,j = Ii - Vari Mn i,j = I i - Var i
Maxi . - /. j + Vari y Max i . - /. j + Var iy
u = MaxJ.一 Minu u = Max J. One Min u
∑ ∑ ∑ ∑
Var.. = ° '  Var.. = ° '
'J (w+iy  'J (w+iy
其中^是原图像经过 5X5的均值滤波的图像, r的计算中,取一个较大的邻域 w=80。 Where ^ is the image of the original image after 5X5 mean filtering, and in the calculation of r, take a larger neighborhood w=80.
2.3 计算分块方向图提取奇异点 .  2.3 Calculate the block direction map to extract singular points.
分块方向图的计算与完整计算方向图的计算一样,只不过只计算分块的中心位置的方 向就可以了, 计算方向图的计算在下面会专门介绍。  The calculation of the block pattern is the same as the calculation of the complete calculation pattern, except that only the direction of the center position of the block is calculated. The calculation of the calculation pattern is specifically described below.
在块方向图上, 计算每一点的 Poincare Index:  On the block pattern, calculate the Poincare Index for each point:
Pindex" =丄 τ(Ο{Μ)η0άη - Oj ) Pindex" =丄τ(Ο {Μ)η0άη - O j )
^ /=0  ^ /=0
k, if | t|< -,  k, if | t|< -,
+ if I A: |<— + if I A: |<—
2  2
π— k, otherwise 其中, 《为周围像素点的个数, 表示第 Ζ·个点的方向。 为了保证计算的可靠性, 先 取半径为 1, 即周边的 8个点来计算 Poincare Index, 得 pi , 如果其 Poincare Index非零, 再以半径 2, 即周边的外一层 来计算 Poincare Index, 得 p2。 其中 pi的周边 8个点的示 意图见附图 3, p2的周边 12个点的示意图见附图 4。 π- k, otherwise where "is the number of surrounding pixel points, indicates the direction of Ζ · points. In order to ensure the reliability of the calculation, first Take a radius of 1, that is, 8 points around to calculate the Poincare Index, and get pi. If the Poincare Index is non-zero, calculate the Poincare Index with a radius of 2, that is, the outer layer of the periphery, and obtain p2. See Fig. 3 for a schematic diagram of 8 points around the pi, and Fig. 4 for a schematic view of 12 points around p2.
存在如下情况:  There are the following situations:
pi与 p2相同, 说明该点是一个奇异点, 若 pi为 1则是核心点型奇异点, 若 pi为一 1则是三角点, 若 pi为 2则是双核型奇异点; 若 p2与 pi不同, 但 p2>0, pl>0, 则是 双核型奇异点; 其他情况则不是奇异点。  Pi is the same as p2, indicating that the point is a singular point. If pi is 1, it is a core point type singular point. If pi is a 1, it is a triangle point. If pi is 2, it is a dual-core type singular point; if p2 and pi Different, but p2>0, pl>0, is a dual-core singular point; in other cases it is not a singular point.
2.4计算方向图、 分割背景区域并细化奇异点  2.4 Calculate the direction map, segment the background area and refine the singular points
对规格化后的图像, 通过下式计算每一点的脊线方向 Ov ¾ = ( )2, (¾;= ( )2, ¾ = For the normalized image, calculate the ridge direction of each point by the following formula O v 3⁄4 = ( ) 2 , (3⁄4;= ( ) 2 , 3⁄4 =
Figure imgf000010_0001
Figure imgf000010_0001
并同时计算出脊线方向的一致性 jAnd calculate the consistency of the ridge direction at the same time j
iimij≥Threshold i imij≥Threshold
Figure imgf000010_0002
Figure imgf000010_0002
7¾^/wW为一个设定的阀值, Q;=0表示此处是指紋图像背景区域。  73⁄4^/wW is a set threshold, Q; =0 means that this is the background area of the fingerprint image.
由上面的块方向图得到的指纹的奇异点的位置是不精确的,可以使用现在取得的方向 图, 重新确定这些奇异点位置。 从这些奇异点的原始位置出发, 在其附近可以找到 最小值点, 就是奇异点的精确位置了, 在新的位置, 计算出新的奇异点方向。  The position of the singular point of the fingerprint obtained from the above block pattern is inaccurate, and the singular point position can be re-determined using the currently obtained pattern. Starting from the original position of these singular points, the minimum point can be found in the vicinity, which is the exact position of the singular point. In the new position, the new singular point direction is calculated.
2.5 图像的滤波与增强  2.5 Image filtering and enhancement
设计一个各向异性滤波器: , ,Design an anisotropic filter: , ,
, y, , y,
Figure imgf000011_0001
Figure imgf000011_0001
, 、 \α, if χ2 + y2 < r2 , , \α, if χ 2 + y 2 < r 2
ρ(χ, y) = <  ρ(χ, y) = <
[0, otherwise 其中, r为有效半径, 通常取 6, 为幅值系数, 通常取 1024, 和 是滤波器的形状 控制参数, 通常取为 8和 1。 是该滤波器的调制方向。方向为零的各向异性滤波器核请 见附图 5。 从而, 可以使用如下公式计算增强的指紋图像 (卷积):  [0, otherwise where r is the effective radius, usually taken as 6, the amplitude coefficient, usually 1024, and is the shape control parameter of the filter, usually taken as 8 and 1. Is the modulation direction of the filter. See Figure 5 for an anisotropic filter kernel with zero direction. Thus, an enhanced fingerprint image (convolution) can be calculated using the following formula:
Figure imgf000011_0002
Figure imgf000011_0002
为了快速地计算上式, 预先计算并保存所有角度的滤波系数 和上式中的分母项, 具体计算时査表来与图像直接进行卷积。  In order to quickly calculate the above formula, the filter coefficients of all angles and the denominator term in the above formula are pre-calculated and saved, and the table is specifically calculated to directly convolve with the image.
2.6计算脊线密度图  2.6 Calculate the ridge density map
如下式计算指纹脊线的密度图 D:  Calculate the density map of the fingerprint ridge by the following formula:
c Koef ~~c Koef ~~
Figure imgf000011_0003
Figure imgf000011_0003
i+w j+w  i+w j+w
i, if ∑ ∑ Jy,x E -Threshold bottom > Threshold^ ] i, if ∑ ∑ J y,x E - Threshold bottom > Threshold^ ]
y=i-iv x= J'- ' y=i-iv x= J'- '
Figure imgf000011_0004
and [i, j] is not in the bad area
Figure imgf000011_0004
And [i, j] is not in the bad area
0, otherwise  0, otherwise
1, [ , j] is not in the bad area1, [ , j] is not in the bad area
Figure imgf000011_0005
0, otherwise 指紋的脊线密度是非常连续的, 因此对脊线密度图 Α· ·再进行 33 X 33的均值滤波以 消除噪声。
Figure imgf000011_0005
0, otherwise The ridge density of the fingerprint is very continuous, so the ridge density map Α·· is then subjected to a mean filtering of 33 X 33 to eliminate noise.
2.7二值化图像并细化 根据如下公式对增强后的图像进行二值化: = j0, if ,; < Su 2.7 Binarized image and refined The enhanced image is binarized according to the following formula: = j0, if ,; < S u
l [255, otherwise 其中, ¾;·是对增强后的指纹图像用一个 33 X 33的均值滤波后的图像,用这个图像作为自 适应的阀值来二值化指纹图像。  l [255, otherwise where 3⁄4;· is an image filtered by the average of 33 X 33 on the enhanced fingerprint image, and this image is used as an adaptive threshold to binarize the fingerprint image.
然后把二值化的图像细化成单点宽度的脊线图。算法是:考虑图像中的每一个黑色像 素的 8个相邻点, 根据它们来判断当前点是否应该被改为白色。 这样经过多次的重复扫 描, 直到没有一个黑色点被改成白色, 就得到了细化的指紋脊线图。 '  The binarized image is then refined into a single point width ridge plot. The algorithm is to consider the eight adjacent points of each black pixel in the image and use them to determine if the current point should be changed to white. This is followed by repeated iterations until a black dot is changed to white, resulting in a refined fingerprint ridge plot. '
二值化图像中,一个黑色像素的 8个相邻点总共可以有 256种情形,实际的计算中可 以通过查表了快速判断。 建立一个 256个元素的表如下:  In the binarized image, there are a total of 256 cases of 8 adjacent points of a black pixel, and the actual calculation can be quickly judged by looking up the table. Create a table of 256 elements as follows:
{0,0,0,0,0,0,0, 1 ,0,0,0,0,0,0, 1 , 1 ,0,0,0,0,0,0,0,0,0,0,0,0, 1,0,1,1 ,0,0,0,0,0,0,0,0,0,0,0,0, {0,0,0,0,0,0,0, 1 ,0,0,0,0,0,0, 1 , 1 ,0,0,0,0,0,0,0,0,0 ,0,0,0, 1,0,1,1 ,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0, 0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0, 1,0,1,0,1 ,0,0,0,0,0,0,0,0,0,0,0,0, 1 ,0,0,0,0,0,0,0, 1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0, 1,0,1,0,1 ,0,0,0,0,0,0,0,0,0,0,0, 0, 1 ,0,0,0,0,0,0,0, 1,0,0,0,0,0,0,0,1,1,0,1,
0,0,0,0,0,0,0,0,0,0,050,1,0,0,0,0,0,0,0,1,0,0,0,1 ,0,1,0} 0,0,0,0,0,0,0,0,0,0,0 5 0,1,0,0,0,0,0,0,0,1,0,0,0,1 , 0,1,0}
其值为 1表示是否要把当前像素应该被改为白色,表的索引用如下方式构造: 8个相邻点 转换为表索引号 22 (二进制的 00010110 ), 请见附图 6。 A value of 1 indicates whether the current pixel should be changed to white. The index of the table is constructed as follows: 8 adjacent points are converted to table index number 22 (binary 00010110), see Figure 6.
2.8 提取细节点  2.8 Extracting minutiae
由于图像的噪声,细化后的指紋脊线图存在有毛剌现象和噪声,所以在提取细节点时, 必须把它们先消除掉, 否则就会提取出很多假细节点。 三种主要的细化脊线噪声图请见 附图 7。  Due to the noise of the image, the refined fingerprint ridge diagram has burrs and noise, so when extracting the minutiae, they must be eliminated first, otherwise many false minutiae will be extracted. See Figure 7 for the three main refinement ridge noise maps.
通过扫描细化的脊线图,跟踪脊线,如果从脊线起点到终点的像素距离小于一个设定 的阀值, 就可以把它从细化图上抹去。  By scanning the refined ridge plot, the ridgeline is tracked, and if the pixel distance from the start to the end of the ridge is less than a set threshold, it can be erased from the refinement.
然后, 可以非常方便地提取出细节点- 对图像上的任何一个黑色点, 如果其相邻的 8个点中, 任选一个起始点, 按顺时针方 向扫描一周回到起始点, 其颜色的变化如果是 2次的话, 说明该点是一个终结型细节点; 如果是 4次以上的话, 该点是分叉型细节点, 其他情况则可以忽略。 终结型细节点的相 邻 8点的颜色变化是 2次: 6->7, 7->0, 请见附图 8; 分叉型细节点的相邻 8点的颜色变 化多于 4次: 1->2, 2->3, 3->4, 4->5, 6->7, 7->0, 请见附图 9。  Then, it is very convenient to extract the minutiae point - any black point on the image, if it is adjacent to the 8 points, choose a starting point, scan clockwise one week back to the starting point, its color If the change is 2 times, it means that the point is a final detail point; if it is more than 4 times, the point is a forked detail point, otherwise it can be ignored. The color change of the adjacent 8 points of the final detail point is 2 times: 6->7, 7->0, see Figure 8; the color of the adjacent 8 points of the bifurcated detail point changes more than 4 times: 1->2, 2->3, 3->4, 4->5, 6->7, 7->0, see Figure 9.
这样, 通过扫描有效的指纹图像区域, 得到了所有的细节点。 在细节点处跟踪脊线, 可以得到脊线的方向。 Thus, by scanning the valid fingerprint image area, all the minutiae points are obtained. Track the ridgeline at the point of detail, The direction of the ridge line can be obtained.
细节点的脊线曲率, 可以用方向的变化来表示。在指紋图像的方向图上, 用该点附近 的方向与该点的方向差值来计算曲率-
Figure imgf000013_0001
The ridge curvature of the detail point can be represented by a change in direction. On the pattern of the fingerprint image, calculate the curvature using the difference between the direction near the point and the direction of the point -
Figure imgf000013_0001
其中, r是半径常数, 通常取 10. Where r is the radius constant, usually taken as 10.
2.9 细节点验证  2.9 Detail point verification
至此得到的细节点, 由于图像噪声的缘故, 还是有很多伪细节点在里面, 需要进一步 剔除。 考虑如下情况:  The details obtained so far, due to image noise, there are still many pseudo-details in it, which need to be further removed. Consider the following:
考虑任意一个细节点, 若存在来一个细节点与之距离小于一个设定值 Dl, 则删除该 细节点;  Consider any detail point, if there is a detail point with a distance less than a set value Dl, delete the detail point;
如一个端点型细节点与来一个端点型细节点距离小于一个设定值 D2, 且它们方向相 反, 则同时删除这两个细节点;  If an end point type detail point is less than a set value D2 from an end point type detail point, and they are opposite in direction, the two minutiae points are simultaneously deleted;
如果一个端点型细节点与一个分叉型细节点距离小于一个设定值 D3, 且它们方向相 反, 则同时删除这两个细节点;  If an end point type detail point is less than a set value D3 from a fork type detail point, and they are opposite in direction, the two minutiae points are simultaneously deleted;
如果一个细节点离指纹图像的无效区域小于一个设定值 D4, 且方向朝外, 则删除该 细节点。  If a detail point is less than a set value D4 from the invalid area of the fingerprint image, and the direction is outward, the detail point is deleted.
这样得到最终的细节点。  This gives the final details.
指紋细节点和其他全局特征最终被压缩成为指紋特征模板存储。  Fingerprint minutiae points and other global features are eventually compressed into fingerprint feature template stores.
二、 指纹匹配方法  Second, the fingerprint matching method
细节点匹配方法是基于细节点连线的。  The minutiae point matching method is based on the detail point connection.
考虑一个指紋图像上的两个细节点 的连线, 定义- 为线段的长度, 即两个细节点之间的距离;  Consider the connection of two minutiae points on a fingerprint image, defined as the length of the line segment, ie the distance between the two minutiae points;
和 bj分别为连线与细节点方向的夹角;  And bj are the angles between the connection and the direction of the detail point;
uy为连线的角度。  Uy is the angle of the connection.
细节点对之间的连线, 如附图 10所示。  The connection between the point pairs of detail is shown in Figure 10.
把这样的线段作为指紋细节点匹配的基本单位,来比较两个指紋图上的细节点对。对 于一个细节点对, 、 ai、 和两个细节点的类型 t、 曲率 c、 脊密度 g都是平移不变的 和旋转不变的。 由此, 可以比对这些量, 来确定两个细节点对的相似性。 对于现场指紋模板上的细节点对(m^mji)和数据库中指紋模板上的细节点对 (mi mj2), 定义细节点对的 "相似度"如下: - )
Figure imgf000014_0001
Compare such line segments as the basic unit of fingerprint detail point matching to compare the point pairs on the two fingerprints. For a detail point pair, , ai , and two minutiae types t, curvature c, and ridge density g are both translationally invariant and rotationally invariant. Thus, the similarity of the two minutiae pairs can be determined by comparing these quantities. For the point-in-point pair (m^mji) on the fingerprint template and the minutiae pair (mi m j2 ) on the fingerprint template in the database, define the "similarity" of the point-to-point pair as follows: - )
Figure imgf000014_0001
其中, cqi,co/2,c0/3,c0/4,co/5为正的常系数。 d, a, 6分别如前面定义, c, g, t分 别是每个细节点的曲率、 脊密度和类型代码 (分叉型细节点为 1, 终端型细节点为 0)。 当 D小于一个给定的值 ThresholdD时, 便认为这两个细节点对相匹配。 Where cqi,co/ 2 , c 0 / 3 , c 0 / 4 , co/ 5 are positive constant coefficients. d, a, 6 are respectively defined as before, c, g, t are the curvature, ridge density and type code of each minutiae (the bifurcation minutiae is 1, and the terminal type minutiae is 0). When D is less than a given value ThresholdD, the two minutiae pairs are considered to match.
' 如果一个指纹图像有 N个细节点, 则可以产生 C(N,2)个细节点对, 要把他们同另一 个指紋图的 M个细节点产生的 C(M,2)个细节点对逐一比对,就需要进行 C(M,2)XC(N,2) 次比对, 若 M=N=80, 则要比对的次数是 39942400,这会非常慢, 所以, 有必要在比对 前做一下限制。 规定两个值 r^^to A, ThresholdDz, 只考虑连线长度介于这两个值之 间的细节点对。 这可以大大降低比对所花的时间。  ' If a fingerprint image has N minutiae points, then C(N, 2) minutiae pairs can be generated, and C(M, 2) minutires pairs that are to be generated with M minutiae points of another fingerprint map To compare one by one, you need to perform C(M,2)XC(N,2) comparisons. If M=N=80, the number of comparisons is 39942400, which is very slow, so it is necessary to compare Make some restrictions on the front. Specify two values r^^to A, ThresholdDz, and only consider the point-to-point pairs whose connection length is between these two values. This can greatly reduce the time spent on the alignment.
从 D的计算公式中, 很容易看出: 如果第一项的计算结果大于 J¾r ½ , 不用计 算后面的项就知道两个细节点对不相匹配, 因此可以先把两个指纹中的细节点对按照其 连线长度 d.进行排序, 就可以在一个连线长度 d的小邻域内进行比对。 这大大加快了计 忽略掉不相匹配的细节点对, 会得到了一个相匹配的细节点对列表:  From the calculation formula of D, it is easy to see: If the calculation result of the first item is larger than J3⁄4r 1⁄2, it is not necessary to calculate the following items to know that the two detail points do not match, so the details of the two fingerprints can be first By sorting according to the length d. of the connection, it is possible to perform comparison in a small neighborhood of a connection length d. This greatly speeds up the ignoring of mismatched minutiae pairs and will result in a matching list of minutiae points:
U = JM , ,U DW < ThresholdD] U = J M , , U D W < ThresholdD]
D ...  D ...
S ~γ J\ ,hJ2 .  S ~ γ J\ , hJ2 .
Wlh ― ThresholdD Wlh - ThresholdD
其中 是个来自现场指纹模板的细节点对 (η^,π^) 及其连线, /,7 是个来自数 据库的指紋模板的细节点对(mi2,mj2)及其连线, D是这两对细节点对间的 "距离", S 为两对细节点对间的相似度。 Among them is a detail point pair (η^, π^) from the fingerprint template of the site and its connection, /, 7 is a detail point pair (m i2 , mj 2 ) and its connection from the fingerprint template of the database, D is this The "distance" between two pairs of points of detail, S is the similarity between two pairs of point pairs.
采用如下方法, 从这个列表来计算两个指紋模板的相似度:  Use the following method to calculate the similarity of two fingerprint templates from this list:
1、 采用直方图法计算旋转角度  1, using the histogram method to calculate the rotation angle
设定一个一维数组 { | 0<i<360 },其下标表示从 0〜359的角度,每个元素如下式计
Figure imgf000015_0001
Set a one-dimensional array { | 0<i<360 }, the subscripts represent the angle from 0 to 359, each element is as follows
Figure imgf000015_0001
其中, 是在 d取值为 1 , 其他都取值为 0的单位冲击函数。可见, 实际上是所有 匹配细节点对的对应细节点的角度差的统计直方图。 找出这个数组中的最大值点, 就是 需要的两个指紋模板的旋转角度 θ。 Among them, it is a unit impact function with a value of 1 for d and a value of 0 for others. It can be seen that it is actually a statistical histogram of the angular differences of all corresponding minutiae points that match the minutiae points. Find the maximum point in this array, which is the rotation angle θ of the two fingerprint templates you need.
2、 把来自数据库的指纹模板的各个角度参数, 包括细节点角度、 奇异点角度、 分块 方向图和匹配细节点对 t/中的连线方向等, 按照上一步计算的角度进行旋转, 使得它同 现场采集的指紋模板具有一致方向- 2. Rotate the angle parameters of the fingerprint template from the database, including the point of detail point, the angle of the singular point, the direction of the block, and the direction of the matching point to the line in t/, etc., according to the angle calculated in the previous step, so that It has the same direction as the fingerprint template collected on site -
+ ^) mod 360 - dt + ^) mod 360 - d t
3、 从 U中删除掉对应细节点角度差大于一个指定值的匹配点对, 这样, U中的匹配' 细节点对就只包含了最可靠的匹配细节点对。  3. Remove the matching point pair corresponding to the detail point angle difference greater than a specified value from U. Thus, the matching 'detail point pair' in U contains only the most reliable matching detail point pairs.
4、 同样的方法, 计算行列方向的直方图  4, the same method, calculate the histogram of the direction of the row and column
设定两个一维数组 { }和 {H¾}:  Set two one-dimensional arrays { } and {H3⁄4}:
{HX dx I一 MaxD im≤ dx < MaxD im }
Figure imgf000015_0002
{HX dx I-MaxD im≤ dx < MaxD im }
Figure imgf000015_0002
{HYdy I -MaxD im < dy < MaxD im }
Figure imgf000015_0003
可见, {Hi }、 {H }实际上是所有匹配细节点对的对应细节点的行列座标差的统 计直方图。 找出这两个数组中的最大值点, 就是需要的两个指紋模板的在进行旋转角度 对齐后的平移量(xo, y0)。
{HY dy I -MaxD im < dy < MaxD im }
Figure imgf000015_0003
It can be seen that {Hi }, {H } is actually a statistical histogram of the row and column coordinate differences of all corresponding minutiae points matching the minutiae point pairs. Finding the maximum point in the two arrays is the amount of translation (xo, y 0 ) of the two fingerprint templates needed after the rotation angle is aligned.
5、 把来自数据库的指紋模板的各个位置参数, 包括细节点坐标、 奇异点座标、 块方 向位置等, 进行平移
Figure imgf000015_0004
5. Translate the position parameters of the fingerprint template from the database, including the coordinates of the detail points, the coordinates of the singular points, the position of the block direction, etc.
Figure imgf000015_0004
现在, 两个指紋模板就完全对齐了。 Now, the two fingerprint templates are fully aligned.
6、 从 /7中删除掉包含行列座标差大于一个指定值的细节点对的匹配对, 这样, 中 的细节点对的匹配对是完全匹配的。 把从这些匹配对的相似度累加起来就是两个指紋模 板细节点集的最终相似度 S,„。 6. Remove the matching pair containing the detail point pairs whose row and column coordinates are larger than a specified value from /7, so that the matching pairs of the detail point pairs in the pair are perfectly matched. Adding the similarities from these matching pairs is two fingerprint patterns The final similarity S of the plate detail point set, „.
7、 上面的计算中, 也已经通过平移和旋转, 把全局特征对齐。 此时, 可以很简单地 计算出全局特征的相似度。  7. In the above calculations, the global features have also been aligned by translation and rotation. At this point, the similarity of the global features can be easily calculated.
奇异点相似度& : 两两比对奇异点的位置、 方向和类型, 得到的相似度相加; 平均脊密度相似度 : 两个指紋模板脊密度的差并取倒数;  Singular point similarity & : The similarity of the position, direction and type of the singular points of the pairwise comparison; the average ridge density similarity: the difference between the ridge density of the two fingerprint templates and the reciprocal;
块方向图的相似度& : 在两个指纹模板有效区域的公共部分, 计算方向的差值, 累 加后平均并取倒数。  The similarity of the block pattern & : In the common part of the effective area of the two fingerprint templates, the difference of the direction is calculated, and the average is taken and the reciprocal is taken.
8、 最后的两个指紋模板的相似度由上面的局部和全局特征相似度融合而成:  8. The similarity of the last two fingerprint templates is formed by the above partial and global feature similarity:
其中, km , ks , ks, kd是各种特征匹配相似度的权重系数。 Where k m , k s , k s , k d are the weighting coefficients of the matching similarities of various features.
注意, 平均脊密度相似度 的计算就是两个平均脊密度的差, 因此, 如果是进行一 对多的识别, 则可以把数据库中的指紋模板先裉据平均脊密度 G来排序, 对现场指紋进 行识别的时候, 就可以优先与数据库中的平均脊密度最接进的指紋模板进行匹配, 这样, 由于数据库中的指紋模板是根据 G索引的, 因此可以大大加快识别过程。  Note that the calculation of the average ridge density similarity is the difference between the two average ridge densities. Therefore, if one-to-many identification is performed, the fingerprint templates in the database can be sorted according to the average ridge density G, for the on-site fingerprint. When identifying, it is possible to match the fingerprint template with the highest average ridge density in the database. Therefore, since the fingerprint template in the database is indexed according to G, the recognition process can be greatly accelerated.
处理过程中的指纹图像请见附图- 其中: 附图①是原指紋图像, 附图 12是正规化后的图像, 附图 13是方向图, 附图 14是增强图像, 附图 15是二值化图像, 附图 16是细化脊线图。  For the fingerprint image during processing, please refer to the accompanying drawings - wherein: Figure 1 is the original fingerprint image, Figure 12 is the normalized image, Figure 13 is the orientation image, Figure 14 is the enhanced image, Figure 15 is the second image The valued image, Figure 16 is a refined ridge diagram.
用于实施本发明指紋识别方法的指纹识别系统包括指紋采集器、指紋识别系统、识别 或和控制信号输出机构; 其中包括指紋图像存储器、 指紋图像处理器和指紋特征数据存 储器; 指紋图像处理器是利用要求 1-9之一所述方法对指紋图像进行处理和识别。  A fingerprint identification system for implementing the fingerprint identification method of the present invention includes a fingerprint collector, a fingerprint recognition system, an identification or control signal output mechanism, and includes a fingerprint image memory, a fingerprint image processor, and a fingerprint feature data memory; the fingerprint image processor is The fingerprint image is processed and identified using the method described in one of claims 1-9.

Claims

权利要求书 Claim
1、 一种指纹识别方法, 其特征在于由指纹特征提取和特征匹配两个步骤组成: . 特征提取步骤是: 釆集指纹图像, 对指紋图像进行预处理和规格化; 计算分块方向 图提取奇异点, 计算方向图、 分割背景区域并细化奇异点; 图像的滤波与增强; 计算脊 线密度; 二值化图像并细化, 提取细节点, 细节点验证, 删除伪细节点; 指紋细节点、 奇异点、 平均脊密度和块方向图特征最终被压缩成为指紋特征模板存储; A fingerprint identification method, which is characterized by two steps of fingerprint feature extraction and feature matching: The feature extraction step is: collecting a fingerprint image, preprocessing and normalizing the fingerprint image; calculating a segmentation pattern extraction Singular points, calculate the direction map, segment the background area and refine the singular points; filter and enhance the image; calculate the ridge line density; binarize the image and refine it, extract the minutiae points, detail point verification, delete the pseudo-detail points; fingerprint details Points, singular points, average ridge density, and block pattern features are eventually compressed into fingerprint feature template storage;
特征匹配步骤是:采集现场指纹图像,按上述步骤提取现场指紋图像的指紋细节点、' 奇异点、平均脊密度和块方向图特征; 对比指紋特征模板与现场指紋图像的指紋细节点、 奇异点、 平均脊密度和块方向图特征, 通过两者特征的相似度来判断是否是同一手指。  The feature matching step is: collecting the on-site fingerprint image, and extracting the fingerprint detail point, 'singular point, average ridge density and block pattern feature of the on-the-spot fingerprint image according to the above steps; comparing the fingerprint feature template with the fingerprint detail point of the fingerprint image of the scene, the singular point The average ridge density and block pattern characteristics are judged by the similarity of the two features to determine whether they are the same finger.
2、 根据权利要求 1所述指紋识别方法, 其特征在于特征匹配步骤是: 2. The fingerprint identification method according to claim 1, wherein the feature matching step is:
分别计算数据库模板和现场指紋模板中细节点对连线距离、 细节点对连线与细节点 , 方向的夹角和细节点对连线的角度; 规定细节点对连线距离上限值和下限值, 删除细节 点对连线距离大于此上限值和小于此下限值的细节点对数据, 得到一个较小范围的细节. 点对数据 U; . 采用直方图计算旋转角度;  Calculate the detail point pair connection distance, the detail point pair connection and the detail point, the angle of the direction and the angle of the detail point pair connection in the database template and the on-site fingerprint template respectively; specify the detail point pair connection distance upper limit value and the lower limit Limit value, delete the detail point to the data of the detail point pair whose connection distance is greater than the upper limit value and less than the lower limit value, and obtain a smaller range of details. Point to the data U; . Calculate the rotation angle by using the histogram;
把来自数据库的指纹模板的各个角度参数, 包括细节点角度、 奇异点角度、 分块方 向图和匹配细节点对 U中的连线方向等, 按照上一步计算的角度进行旋转, 使得它同现 场采集的指纹模板具有一致方向:  The angle parameters of the fingerprint template from the database, including the point angle of the detail point, the angle of the singular point, the direction of the block, and the direction of the line connecting the point to the U, are rotated according to the angle calculated in the previous step, so that it is on the same scene. The collected fingerprint templates have a consistent orientation:
从 U中删除掉对应细节点角度差大于一个指定值的匹配点对, 使 U中的匹配细节点 对只包含最可靠的匹配细节点对; - 同样的方法,计算行列方向的直方图,计算所有匹配细节点对的对应细节点的行列座 标差的统计直方图, 找出这两个数组中的最大值点, 就是两个指紋模板在进行旋转角度 对齐后的平移量;  The matching point pair corresponding to the detail point angle difference greater than a specified value is deleted from the U, so that the matching detail point pair in U only contains the most reliable matching detail point pair; - the same method, calculating the histogram of the row and column direction, and calculating All statistical histograms of the row and column coordinate differences of the corresponding minutiae points of the matching detail point pairs, and finding the maximum point in the two arrays is the translation amount of the two fingerprint templates after the rotation angle alignment;
把来自数据库的指纹模板的各个位置参数, 包括细节点坐标、奇异点座标、块方向位 置等, 进行平移, 两个指紋模板完全对齐;  Each position parameter of the fingerprint template from the database, including minutiae coordinates, singular point coordinates, block direction position, etc., is translated, and the two fingerprint templates are completely aligned;
从 C7中删除掉包含行列座标差大于一个指定值的细节点对的匹配对, 这些匹配对的 相似度累加起来得到两个指紋模板细节点集的最终相似度;  The matching pairs of the detail point pairs including the row and column coordinate deviations greater than a specified value are deleted from C7, and the similarity of the matching pairs is added to obtain the final similarity of the two fingerprint template detail point sets;
计算出全局特征的相似度: 奇异点相似度是两两比对奇异点的位置、 方向和类型, 得到的相似度相加; 平均脊密度相似度是两个指纹模板脊密度的差并取倒数; Calculate the similarity of global features: The singular point similarity is the position, direction and type of the singular points of the pairwise comparison, and the obtained similarities are added; the average ridge density similarity is the difference between the ridge density of the two fingerprint templates and the reciprocal;
块方向图的相似度是在两个指纹模板有效区域的公共部分,计算方向的差值,累加后 平均并取倒数; . 最后的两个指紋模板的相似度由上面的局部和全局特征相似度 !¾合而成;  The similarity of the block pattern is the common part of the effective area of the two fingerprint templates, the difference of the calculated direction, the average after the accumulation and the reciprocal; The similarity of the last two fingerprint templates is the local and global feature similarity of the above !3⁄4 combined;
3、根据权利要求 2所述指纹识别方法,其特征在于进行一对多的识别时,先将数据 库中指紋模板的平均脊密度进行排序, 对现场指紋进行识别时, 先与数据库中的平均脊 密度最接近的指紋模板进行匹配, 以加快识别速度; 平均脊密度是整个指纹图像的平均 脊密度。 3. The fingerprint identification method according to claim 2, wherein when the one-to-many identification is performed, the average ridge density of the fingerprint template in the database is first sorted, and when the on-site fingerprint is recognized, the average ridge in the database is first used. The fingerprint templates with the closest density are matched to speed up the recognition; the average ridge density is the average ridge density of the entire fingerprint image.
4、 .根据权利要求 3所述指紋识别方法, 其特征在于指紋特征提取时: 指紋图像表示 为一个二维矩阵, 每一个像素就是矩阵的一个元素, 取值为 0〜255, 矩阵的维度就是图 像的宽和髙; 4. The fingerprint identification method according to claim 3, wherein when the fingerprint feature is extracted: the fingerprint image is represented as a two-dimensional matrix, and each pixel is an element of the matrix, and the value is 0 to 255, and the dimension of the matrix is The width and width of the image;
5、 根据权利要求 4所述指紋识别方法, 其特征在于指纹的细节点是指指紋脊线上的 端点或者分叉点, 指紋细节点包括如下特征: 座标 x -表示在指纹图像中的位置; 类型 t . -表示是脊线的端点还是分叉点; 方向 表示细节点的方向, 若是端点型的细节点, 则该 方向的从细节点位置指向脊线, 若是分叉型细节点, 则该方向从细节点位置指向分叉后 的两条脊线的中间;脊密度 表示在该细节点附近的脊线的平均密度;脊曲率 c -表示脊 线方向在此处的变化程度; 5. The fingerprint identification method according to claim 4, wherein the detail point of the fingerprint refers to an end point or a bifurcation point on the fingerprint ridge line, and the fingerprint detail point includes the following features: coordinate x - indicates a position in the fingerprint image ; type t . - indicates whether the end point or the bifurcation point of the ridge line; the direction indicates the direction of the detail point, if it is the detail point of the end point type, the direction points from the detail point position to the ridge line, and if it is a bifurcated detail point, The direction is from the detail point position to the middle of the bifurcated ridge lines; the ridge density represents the average density of the ridge lines near the minutiae point; the ridge curvature c - represents the degree of change of the ridge line direction here;
6、根据权利要求 5所述指紋识别方法, 其特征在于分块方向图: 是把指紋图像分成 BLOCK—SIZEX BLOCK— SIZE大小的互不相交的小块, 对每一块小图像, 计算出脊线的 平均方向, 从而得到大小为 , The fingerprint identification method according to claim 5, characterized in that the segmentation pattern is: dividing the fingerprint image into mutually disjoint small blocks of BLOCK-SIZEX BLOCK-SIZE size, and calculating ridge lines for each small image. The average direction, thus getting the size,
(HEIGHT/BLOCK— SIZE) X (WIDTH/BLOCK— SIZE) 的分块方向图; 分块方向图刻画指紋图像的全局脊线走向; 另外, 在分块方向图上用一 个非法的方向值表示对指紋图像分割后的背景区域;  (HEIGHT/BLOCK—SIZE) Blocking pattern of X (WIDTH/BLOCK—SIZE); the block pattern depicts the global ridgeline of the fingerprint image; in addition, an illegal direction value is used to represent the pair on the block pattern The background area after the fingerprint image is divided;
7、根据权利要求 6所述指紋识别方法, 其特征在于奇异点: 指纹图像上有一些地方 的脊线方向不连续, 这些地方称为指紋的奇异点, 其特征有: 座标 x y, 表示在指紋图像 中的位置; 类型 t , 奇异点分为核心点、 双核心点以及三角点三种; 方向 d, 表示沿着 该方向远离奇异点时, 指紋脊线方向变化最小。 脊密度 C , 表示在该奇异点附近的脊线 的平均间隔距离。 7. The fingerprint identification method according to claim 6, characterized in that the singular point: the ridge line direction of the fingerprint image is discontinuous, and the singular points of the fingerprint are called singular points of the fingerprint, and the features are: coordinates xy, indicating The position in the fingerprint image; type t, the singular point is divided into three types: core point, double core point and triangle point; direction d, indicating along When the direction is far from the singular point, the direction of the fingerprint ridge is minimally changed. The ridge density C represents the average separation distance of the ridge lines near the singular point.
8、 根据权利要求 7所述指纹识别方法, 其特征在于图像预处理和规格化是首先对图 像进行均匀值滤波, 使图像更加平滑, 然后, 对图像进行格式化; 计算分块方向图提取 奇异点是在块方向图上, 先计算每一点的 Poincare Index: 8. The fingerprint identification method according to claim 7, wherein the image pre-processing and normalization firstly perform uniform value filtering on the image to make the image smoother, and then format the image; and calculate the block pattern to extract the singularity. The point is on the block pattern, first calculate the Poincare Index for each point:
Pindex" =丄 (0(,+1 „ - O, ) k, if |< - , Pindex" =丄(0 ( , +1 „ - O, ) k, if |< - ,
2  2
π + k. if I A; |<—  π + k. if I A; |<—
2  2
π - k, otherwise 其中, M为周围像素点的个数, O,表示第 个点的方向; 先取半径为 1, 即周边的 8 个点来计算 Poincare Index, 得 pl, 如果其 Poincare Index非零, 再以半径 2, 即周边的 外一层 来计算 Poincare Index, 得 p2: pi与 p2相同, 说明该点是一个奇异点, 若 pi为 1则是核心点型奇异点, 若 pi为一 1则是三角点, 若 pi为 2则是双核型奇异点; 若 p2 与 pi不同, 但 p2>0, pl>0, 则是双核型奇异点; 其他情况则不是奇异点。  π - k, otherwise where M is the number of surrounding pixels, O, indicating the direction of the first point; first take the radius of 1, ie the surrounding 8 points to calculate the Poincare Index, get pl, if its Poincare Index is non-zero Then calculate the Poincare Index with a radius of 2, that is, the outer layer of the periphery, and p2: pi is the same as p2, indicating that the point is a singular point. If pi is 1, it is a core point type singular point, if pi is a 1 It is a triangular point. If pi is 2, it is a dual-core singular point. If p2 is different from pi, but p2>0, pl>0, it is a dual-core singular point; otherwise, it is not a singular point.
9、 根据权利要求 1、 2、 3、 4、 5、 6、 7或 8所述指紋识别方法, 其特征在于计算方 向图、 分割背景区域并细化奇异点是: 规格化后的图像, 计算第一点的脊线方向, 并同 时计算出脊线方向的一致性, 取得方向图, 重新确定奇异点位置, 从这些奇异点的原始 位置出发, 找到奇异点的精确位置, 在新的位置, 计算出新的奇异点方向。 9. The fingerprint identification method according to claim 1, 2, 3, 4, 5, 6, 7, or 8, wherein the calculating the direction map, dividing the background area, and refining the singular points are: normalized image, calculation The ridge line direction of the first point, and at the same time calculate the consistency of the ridge line direction, obtain the direction map, re-determine the singular point position, and find the exact position of the singular point from the original position of these singular points, in the new position, Calculate the new singular point direction.
10、 根据权利要求 1、 2、 3、 4、 5、 6、 7或 8所述指纹识别方法, 其特征在于图像的 滤波与增强是: 通过各向异性滤波器处理后, 得到增强的指紋图像; 计算脊线密度是- 先计算指紋脊线密度图, 再对脊线密度图进行 33 X 33的均值滤波。 10. The fingerprint identification method according to claim 1, 2, 3, 4, 5, 6, 7, or 8, characterized in that the filtering and enhancement of the image are: after the anisotropic filter is processed, an enhanced fingerprint image is obtained. Calculating the ridge density is - first calculate the fingerprint ridge density map, then perform a 33 X 33 mean filter on the ridge density map.
11、 根据权利要求 1、 2、 3、 4、 5、 6、 7或 8所述指紋识别方法, 其特征在于二值化 图像并细化是: 用 33 X 33均值滤波后的图像作为自适应的阀值来二值化增强后的图像; 然后把二值化的图像细化成单点宽度的脊线图;图像细化是图像中的每一个黑色像素有 8 个相邻点, 根据它们来判断当前点是否应该被改为白色。 这样经过多次的重复扫描, 直 到没有一个黑色点被改成白色, 就得到了细化的指紋脊线图。 11. A fingerprint identification method according to claim 1, 2, 3, 4, 5, 6, 7, or 8, characterized in that the binarized image is refined and refined: an image that is filtered by 33 X 33 means as an adaptive The threshold is used to binarize the enhanced image; then the binarized image is refined into a single-point width ridge plot; the image refinement is that each black pixel in the image has 8 adjacent points, according to which Determine if the current point should be changed to white. This way, after repeated scans, straight When no black spot is changed to white, a refined fingerprint ridge diagram is obtained.
12、 根据权利要求 1、 2、 3、 4、 5、 6、 7或 8所述指紋识别方法, 其特征在于提取细 节点是: 先消除毛刺和噪声, 即通过扫描细化的脊线图, 跟踪脊线, 如果从脊线起点到 终点的像素距离小于一个设定的阀值,.就把它从细化图上抹去; 然后, 提取出细节点- 即对图像上的任何一个黑色点, 如果其相邻的 8个点中, 任选一个起始点, 按顺时针方.. 向扫描一周回到起始点, 其颜色的变化如果是 2次的话, 说明该点是一个终结型细节点; 如果是 4次以上的话, 该点是分叉型细节点, 其他情况则可以忽略, 通过扫描有效的指 紋图像区域, 得到了所有的细节点; · 12. The fingerprint identification method according to claim 1, 2, 3, 4, 5, 6, 7, or 8, wherein the extraction of the minutiae points is: first removing burrs and noise, that is, by scanning the refined ridge diagram, Track the ridge line, if the pixel distance from the start point to the end point of the ridge line is less than a set threshold, erase it from the refinement map; then, extract the minutiae point - that is, any black point on the image If one of the 8 adjacent points is selected, start with a clockwise side. Return to the starting point one week after scanning. If the color change is 2 times, it means that the point is a final detail point. If it is more than 4 times, the point is a forked detail point, otherwise it can be ignored. By scanning the effective fingerprint image area, all the minutiae points are obtained;
在细节点处跟踪脊线, 得到脊线的方向; 细节点的脊线曲率, 用方向的变化来表示, 在指紋图像的方向图上, 用该点附近的方向与该点的方向差值来计算曲率。  Track the ridge line at the detail point to get the direction of the ridge line; the ridge line curvature of the detail point is represented by the change of direction. On the pattern of the fingerprint image, the direction difference between the direction near the point and the point is used. Calculate the curvature.
13、 根据权利要求 1、 2、 3、 4、 5、 6、 7或 8所述指纹识别方法, 其特征在于细节点 验证和删除伪细节点是: 任意一个细节点, 若存在来一个细节点与之距离小于一个设定 值 Dl, 则删除该细节^ ; 如一个端点型细节点与来一个端点型细节点距离小于一个设定 值 D2, 且它们方向相反, 则同时删除这两个细节点; 如果一个端点型细节点与一个分叉- 型细节点距离小于一个设定值 D3, 且它们方向相反, 则同时删除这两个细节点; 如果一 个细节点离指紋图像的无效区域小于一个设定值 D4, 且方向朝外, 则删除该细节点; 通 过上述删除得到最终的细节点。 . . 13. The fingerprint identification method according to claim 1, 2, 3, 4, 5, 6, 7, or 8, characterized in that the detail point verification and the deletion of the pseudo-detail point are: any one of the minutiae points, if there is a detail point If the distance is less than a set value D1, the detail is deleted; if an end point type detail point is less than a set value D2 from an end point type detail point, and they are in opposite directions, the two minutiae points are simultaneously deleted. If an endpoint type detail point is less than a set value D3 from a fork-type detail point and they are in opposite directions, the two minutiae points are deleted at the same time; if a detail point is smaller than the invalid area of the fingerprint image The value D4 is set, and the direction is outward, the detail point is deleted; the final detail point is obtained by the above deletion. .
14、一种指紋识别系统, 其特征在于包括指紋采集器、指纹识别系统、 识别或和控制 信号输出机构; 其中包括指紋图像存储器、 指紋图像处理器和指紋特征数据存储器; 指 紋图像处理器是利用要求 1-9之一所述方法对指紋图像进行处理和识别。 14. A fingerprint identification system, comprising: a fingerprint collector, a fingerprint recognition system, an identification or control signal output mechanism; wherein the fingerprint image memory, the fingerprint image processor and the fingerprint feature data memory; the fingerprint image processor is utilized The method described in one of claims 1-9 processes and identifies the fingerprint image.
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