CN113033592A - Shape matching and object identification method based on slope difference distribution - Google Patents
Shape matching and object identification method based on slope difference distribution Download PDFInfo
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Abstract
The invention discloses a shape matching and object identification method based on gradient difference distribution. The method comprises the steps of obtaining one-dimensional distance distribution by calculating the distance from the center of an object to all points on the outline of the object, filtering the one-dimensional distance distribution in a frequency domain through discrete Fourier transform, then calculating slope difference distribution of the filtered one-dimensional distance distribution, solving valley positions and peak positions of the slope difference distribution by enabling a derivative of the slope difference distribution to be equal to zero, mapping the valley positions and the peak positions to the outline of the object to obtain two-dimensional slope difference characteristic points, modeling the shape of each type of object by utilizing the normalized two-dimensional slope difference characteristic points, and identifying the type of the detected binary object by calculating the minimum distance sum of the normalized two-dimensional slope difference characteristic points of the online detected binary object and the normalized two-dimensional slope difference characteristic points of the shape model of each type of object.
Description
Technical Field
The invention relates to a shape matching and recognition technology of a binary object, in particular to a method for obtaining one-dimensional distance distribution by calculating the distance from the center of the object to all points on the outline of the object, filtering the one-dimensional distance distribution in the frequency domain by discrete Fourier transform, calculating the slope difference distribution of the filtered one-dimensional distance distribution, solving the valley position and peak position of the slope difference distribution by making the derivative of the slope difference distribution equal to zero, mapping the valley position and peak position to the object outline to obtain two-dimensional slope difference characteristic points, modeling the shape of each type of object by utilizing the normalized two-dimensional slope difference characteristic points, and identifying the category of the detected binary object by calculating the minimum distance sum of the normalized two-dimensional slope difference characteristic point of the online detected binary object and the normalized two-dimensional slope difference characteristic point of the shape model of each type of object.
Background
The invention relates to a shape matching and recognition technology of a binary object. Shape recognition of binary objects is an important research content of pattern recognition, and many conventional binary object shape recognition technologies, such as a shape recognition method based on a fourier descriptor, a shape recognition method based on principal component analysis, a shape recognition method based on an invariance distance, and the like, are used. However, the conventional methods have low recognition accuracy, and the application and development of object target recognition are severely limited. The invention carries out shape matching and object identification based on slope difference distribution characteristic points, slope difference distribution is a new one-dimensional distribution characteristic point calculation method proposed by the applicant in recent years, the method is successfully applied to the field of threshold selection and clustering, subversive precision surpassing is achieved compared with the traditional method, please refer to the document Z.Z. Wang, "A new approach for segmentation and quantification of cells or nanoparticles," IEEE T Info rm, 12(3): 962 and 971 (2016). Z.Z. Wang, "Determining the calibration centers by slope difference distribution," IEEE Access, 5, 10995-. The invention expands the application of the slope difference distribution to the solution of the characteristic points of the two-dimensional object outline, successfully obtains a series of two-dimensional slope difference characteristic points by a method of solving the one-dimensional slope difference characteristic points on the one-dimensional distance distribution and then mapping the one-dimensional slope difference characteristic points to the two-dimensional object outline, and a large number of experiments show that the shape matching and object identification method based on the slope difference distribution also has the precision and the potential of subverting the traditional object identification method.
Disclosure of Invention
The invention aims to provide a shape matching and object recognition method based on slope difference distribution, aiming at the problems that the existing object shape recognition method has low precision and can not meet the requirements of some high-precision recognition applications.
In order to achieve the purpose of the invention, the invention is realized by adopting the following technical scheme:
the method comprises the steps of obtaining one-dimensional distance distribution by calculating the distance from the center of an object to all points on the outline of the object, filtering the one-dimensional distance distribution in a frequency domain through discrete Fourier transform, then calculating slope difference distribution of the filtered one-dimensional distance distribution, mapping one-dimensional slope difference characteristic points to the outline of the object by calculating slope difference distribution and slope difference characteristic points of the one-dimensional distance distribution and utilizing the one-to-one correspondence relationship between the one-dimensional distance distribution points and the outline points of the object to obtain two-dimensional slope difference characteristic points, modeling the shape of each type of object by utilizing the normalized two-dimensional slope difference characteristic points, and identifying the type of the detected binary object by calculating the minimum distance sum of the normalized two-dimensional slope difference characteristic points of the online detected binary object and the normalized two-dimensional slope difference characteristic points of the shape model of each type of the object.
Compared with the prior art, the invention has the following advantages:
the shape matching and object identification method based on the slope difference distribution can robustly calculate the slope difference characteristic points of the object shape, and carries out object identification by matching the normalized slope difference characteristic points, so that the identification accuracy is obviously higher than that of the existing object identification technology, and the efficiency is also improved.
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FIG. 1 is a flow chart of the operation of the present invention.
Detailed Description
The present invention will be described in detail below based on a work flow chart.
FIG. 1 is a flow chart of the present invention, which comprises inputting a binary image of an object, obtaining a center portion of the binary image by morphological erosion, calculating an object center according to a pixel mean of the center portion, obtaining a two-dimensional contour of the object by boundary extraction, obtaining a one-dimensional distance distribution by calculating a distance from the object center to each pixel on the contour of the object, calculating a slope difference distribution of the one-dimensional distance distribution, selecting a valley position and a peak position of the slope difference distribution as candidate features, forming a one-dimensional slope difference feature by selecting features that best meet conditions, mapping the one-dimensional slope difference feature to the contour of the two-dimensional object by dimension conversion to obtain a two-dimensional slope difference feature, normalizing the two-dimensional slope difference feature to obtain a scale-invariant feature, and identifying the object by shape matching.
The object center point calculation method is as follows:
step 1: calculate the originalStarting binary objectO b Area of (1) byS o Represents;
step 2: for binary objects by the following equationO b Performing iterative morphological etching:
whereinIs a spherical structural element with the radius of 3, and calculates the corroded binary objectO e Area of (1) byS e Represents;
and step 3: repeating step 2 until the area of the binary object is erodedS e Smaller than the original binary object areaS o Is/are as followsQOne-third:
original binary objectO b By calculating the corroded binary objectO e The center of (c) is found:
wherein (A) and (B)x i , y i ), i=1,2,…,MRepresenting a binary object to be erodediThe image coordinates of the individual pixels are,Mindicating that the eroded binary object contains the total number of pixels.
Original binary objectO b Outermost peripheral pixel ofExtracted as the object profileC j 2D , i=1,2,…,LThe points on the contour are represented asP(x j , y j ), j=1,2,…,L, LRepresenting the total number of points on the object contour. Then one-dimensional distance distributionD j 1D , i=1,2,…,LCalculated from the following formula:
one-dimensional distance distribution by the following methodD j 1D , i=1,2,…,LAnd (3) filtering:
step 1: one-dimensional distance distribution byD j 1D , i=1,2,…,LConversion to the frequency domain:
step 2: by removingF(k) High-frequency components:
whereinWIs based on the cut-off frequency of a discrete fourier transform low-pass filter;
and step 3: obtaining a filtered one-dimensional distance distribution byD j 1D’ , i=1,2,…,L:
One-dimensional distance distribution after filteringD j 1D’ , i=1,2,…,LThe slope difference distribution of (a) is obtained by the following method:
step 1: after filteringA certain point on the one-dimensional distance distribution (j, D j 1D’ ) Left selection ofNPoints (A)j, D j 1D’ ), x= j,j-1,…,j-N+1Fitting a straight line:
whereina l Is the slope of the fitted line, and is calculated by the following formula:
step 2: at a point on the filtered one-dimensional distance distribution (j, D j 1D’ ) Right selection ofNPoints (A)j, D j 1D’ ), x= j,j+1,…,j+N-1Fitting a straight line:
whereina r Is the slope of the fitted line, and is calculated by the following formula:
and step 3: (a certain point on the filtered one-dimensional distance distributionj, D j 1D’ ) The slope difference of (d) is calculated by:
the slope difference of a series of points on the filtered one-dimensional distance distribution forms a slope difference distribution consisting ofS(x),x=N+1,2,…, L-NIt is shown that let the derivative of the slope difference distribution be zero:
the solution of the above equation is the valley position in the slope difference distributionV i , i=1,2,…,N V And peak positionP i , i=1,2,…, N P And valley levelM i V , i=1,2,…,N V And peak magnitudeM i P , i=1,2,…,N P 。
These valley positionsV i , i=1,2,…,N V And peak positionP i , i=1,2,…,N P One-dimensional feature points of composition slope difference distributionF i 1D , i=1,2,…,N F WhereinN F =N V +N P Two-dimensional feature points of slope difference distributionF i 2D =(x i 2D , y i 2D ),i=1,2,…,N F Is calculated by the following formulaCalculating:
two-dimensional feature points with distributed slope differencesF i 2D =(x i 2D , y i 2D ), i=1,2,…,N F Normalized by the following formula:
each type of object is described by a shape model consisting of normalized two-dimensional slope difference characteristic points, the generated shape model is representative and general, namely the two-dimensional slope difference characteristic points in the shape model are characteristic points of the shape of the type of object, and the generated shape model is formed byF i M =(x i M , y i M ), i=1,2,…,N M Is shown in whichN M Is less than or equal toN F 。
Is calculated by the following formulaSMinimum distance sum of slope difference characteristic point in class shape model and slope difference characteristic point of online detected binary objectd S min :
WhereinF i M () To representClockwise rotating slope difference characteristic points in the shape modelAnd (4) degree.
And for each type of object, manually selecting representative and common slope difference characteristic points under lines to generate a shape model.
If the individual shapes of a certain class of objects are very different, a plurality of shape models composed of slope difference characteristic points need to be generated for the class of objects.
When the online object is identified, the minimum distance sum of the slope difference characteristic point of the online detected binary object and the characteristic points of all object shape models is calculated by a formula (22)d S min , S=1,2,…,N S WhereinN S Representing the sum of all generated shape models, the class of the detected binary objectCalculated from the following formula:
Claims (8)
1. a method for matching the shape of binary object and recognizing the object features that the one-dimensional distance distribution is obtained by calculating the distances from the center of object to all points on the outline of object, filtering the one-dimensional distance distribution in the frequency domain by discrete Fourier transform, calculating the slope difference distribution of the filtered one-dimensional distance distribution, solving the valley position and peak position of the slope difference distribution by making the derivative of the slope difference distribution equal to zero, mapping the valley position and peak position to the object outline to obtain two-dimensional slope difference characteristic points, modeling the shape of each type of object by utilizing the normalized two-dimensional slope difference characteristic points, and identifying the category of the detected binary object by calculating the minimum distance sum of the normalized two-dimensional slope difference characteristic point of the online detected binary object and the normalized two-dimensional slope difference characteristic point of the shape model of each type of object.
2. The method of claim 1, wherein the center of the binary object is calculated by iteratively corroding the binary object by a morphological corrosion method until the area of the corroded object is smaller than a predetermined or pre-calculated area threshold, and then calculating the center of the binary object by the pixel mean of the final corroded object.
3. The method of claim 1, wherein the one-dimensional distance distribution is formed by calculating distances from a center of the object to each point on the contour of the object, and finally arranging all the distances in sequence to form the one-dimensional distance distribution, wherein the points on the one-dimensional distance distribution correspond to the points on the contour of the object one-to-one.
4. The method of claim 1, wherein the one-dimensional distance distribution is filtered before the slope difference distribution is calculated from the one-dimensional distance distribution, and wherein the filtering is performed in either a time domain or a frequency domain.
5. The method of claim 1, wherein the slope difference is calculated by applying a left side to an arbitrary point on the one-dimensional distance distributionNFitting a straight line to the adjacent points to obtain a left slope, and then distributing any point on the right side of the one-dimensional distance distributionNAnd fitting a straight line to the adjacent points to obtain a right slope, subtracting the left slope from the right slope to obtain the slope difference of the points, and finally arranging the slope differences of all the points together to form slope difference distribution.
6. The method of claim 1, wherein the slope difference feature points are solved by solving for valley positions and peak positions of the slope difference distribution with the derivative of the slope difference distribution equal to zero, and mapping the valley positions and peak positions onto the object contour to obtain two-dimensional slope difference feature points.
7. The method of claim 1, wherein the shape model of the object is comprised of two-dimensional slope difference feature points that are manually selected, wherein the manual selection criteria is selection of feature points having general and representative two-dimensional slope differences, and wherein all of the two-dimensional slope difference feature points are normalized.
8. The method of claim 1, wherein the object is identified by calculating a minimum distance sum of a normalized two-dimensional slope difference feature point of the binary object detected on-line and a normalized two-dimensional slope difference feature point of the shape model of each type of object to identify the type of the binary object detected.
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