CN102592150B - Gait identification method of bidirectional two-dimensional principal component analysis based on fuzzy decision theory - Google Patents
Gait identification method of bidirectional two-dimensional principal component analysis based on fuzzy decision theory Download PDFInfo
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Abstract
The invention provides a gait identification method of a bidirectional two-dimensional principal component analysis based on a fuzzy decision theory, The method comprises the following steps of: firstly, pre-processing an image of a gait sequence and extracting a human body movement outline; determining a gait period and calculating an average image of a gait energy image with a whole period; constructing a training sample of an average gait energy image and dividing the training sample into N secondary image sets; calculating the best projection matrix in a row direction and an array direction of each secondary image set, and calculating a characteristic matrix of secondary images of each training sample; calculating the characteristic matrix of each secondary image by the average gait energy image to be indentified; calculating a membership degree of each training sample to the image to be indentified; and determining a classification result according to the maximum membership degree principle. According to the gait identification method disclosed by the invention, the average gait energy image is divided into a plurality of the secondary images and a coefficient matrix dimensional quantity of the average gait energy image is analyzed and reduced by the bidirectional two-dimensional principal component analysis, so that the problem that the coefficient matrix dimensional quantity of the average gait energy image in the gait identification is too high is solved, the identification efficiency is improved and the identification speed is accelerated.
Description
Technical field
The present invention relates to a kind of image processing techniques, specifically a kind of bidirectional two-dimensional principal component analysis (PCA) gait recognition method based on the fuzzy theory decision-making.
Background technology
Gait Recognition is a kind of novel biometrics identification technology.Gait Recognition is as a kind of living things feature recognition method, and the posture of walking according to the people is exactly carried out people's authentication and identification.Gait feature has certain rhythm and cycle characteristics, and is periodic in essence.As behavioural characteristic habitually, a people's gait is can great changes will take place within considerable time, has stronger stability.Be different from the recognition technologies such as recognition of face, fingerprint recognition, iris recognition, Gait Recognition has following characteristics as a kind of biological characteristic: be easy to observe, be difficult to camouflage,, remote identification low to the systemic resolution requirement etc.Therefore Gait Recognition is a kind of desirable non-infringement biometrics identification technology.The method of existing Gait Recognition is a lot, be divided into generally model-based methods and based on the method for statistics: model-based methods is intended to build the 2D of a human body or the motion structure model of 3D, by extracting characteristics of image, they is mapped to the gait pattern that characterizes human body on the constituent of model.Come the characterization gait motion based on the statistical property that the method for adding up is the spatiotemporal mode that profile produces in image by the pedestrian.Existing gait recognition method is all generally the framework that adopts training video sequence under identical walking states condition and test video sequence to set up Gait Recognition.In actual application, it is very greatly that the video sequence of test changes, the difference of for example wearing clothes, and difference of belongings etc. state all can have a huge impact the recognition performance of reality.In Gait Recognition, the application of gait energygram is also more extensive in addition, but the average gait energygram in gait feature identification is too much as the matrix of coefficients element, and the problem that dimension is too high is larger on the recognition speed impact.In this case, reasonably select characteristic quantity can characterize real gait feature, select rational gait recognition method, discrimination and the recognition speed that can improve gait become an important problem.
Find through the retrieval to prior art, " decomposing Gait Recognition with the motion excursion characteristic based on energygram " that the people such as Ma Qinyong delivered on to the 549th page the 545th page of " photoelectron laser " (the 20th volume fourth phase) proposed to utilize average neighbour figure to rebuild abnormal image with mean profile figure, then the gait energygram with object is decomposed into two parts, and be respectively a series of expanded images of every part generation, thereby construct Energy Decomposition figure.Use at last Energy Decomposition figure and motion excursion figure jointly to classify.The character representation mode of this gait recognition method has avoided traditional gait energygram to be subject to the shortcoming of gait shape width impact to a great extent.For the existing problem that has still kept a large amount of static in shape information based on gait deflection graph algorithm, this feature representation mode is paid attention to the contour edge zone more, and can lose some inner Global Information.Simultaneously, this gait profile diagram abnormality detection and correcting algorithm calculated amount are larger, also have the space that promotes on recognition speed." a kind of identification algorithm based on average gait energygram " by people such as retrieval Zhang Qianjin etc. delivered on to 44 pages the 39th page of " Journal of Engineering Graphics " (the 32nd volume first phase) proposed a kind of built-in type hidden Markov model personal identification method based on the gait energygram.At first extract the side profile of movement human, count gait cycle according to the swinging distance of gait lower limb, obtain average gait energygram.Each zone to energygram is analyzed, and utilizes two-dimension discrete cosine transform to observe piece be converted into observation vector energygram, realizes training and the identification of built-in type hidden Markov model.On USF and CASIA gait data storehouse, the algorithm that proposes is tested at last.This algorithm is based on built-in type hidden Markov model, and this model can expend certain calculated amount in the process of training and identification; Utilize simultaneously two-dimension discrete cosine transform to observe piece be converted into observation vector energygram, the information of gait has partial loss, and recognition result is had certain impact.This just impels the district to seek a kind of new gait recognition method, promotes the speed of identification when having higher discrimination.
Summary of the invention
Technical matters to be solved by this invention is to provide a kind of gait recognition method of the bidirectional two-dimensional principal component analysis (PCA) (DTPCA) based on the fuzzy theory decision-making.Obtain average gait energygram and be a plurality of subimages with the image segmentation that obtains by preconditioning technique, utilize the bidirectional two-dimensional principal component analysis (PCA) to reduce the matrix of coefficients dimension of average gait quantum of energy image, solve in the Gait Recognition average gait energygram as the too high problem of matrix of coefficients dimension, accelerated recognition speed.
The present invention solves the problems of the technologies described above the technical scheme that adopts to be: the gait recognition method based on the bidirectional two-dimensional principal component analysis (PCA) of fuzzy theory decision-making comprises the steps:
The profile that difference operation is extracted human motion is carried out in step 2, use indirectly;
Step 3, simply connected movement destination image is carried out the quasi periodic analysis, by analyzing the human body contour shape over time, minimum determine gait cycle to the cyclical variation process of maximum again according to the lower limb profile width of people's body side surface from being up to;
The gait cycle that step 4, basis are determined builds the energygram of each gait cycle, and then calculates the average image of the gait energygram that has complete cycle in gait sequence, obtains an average gait energygram as training sample;
Step 6, establish
,
, wherein
With
Represent respectively training sample
With
iIndividual row vector,
The average image that represents all training samples; Utilize covariance matrix
To every number of sub images collection
Obtain the optimum projection matrix on line direction
Step 7, establish
,
, here
With
Expression respectively
With
Individual column vector is utilized formula
To every number of sub images collection
Ask the optimum projection matrix on column direction
Step 9, to an average gait energygram picture to be identified
B, at first be partitioned into each number of sub images
, to each self-corresponding projector space projection, try to achieve the eigenmatrix of every number of sub images with every number of sub images
Step 11, to the degree of membership addition of average each number of sub images of gait energygram to be identified and each training sample subimage summation, obtain image to be identified for the degree of membership of each training sample
, according to maximum membership grade principle, last classification results is
, i.e. facial image to be identified and
SIndividual training sample belongs to a class together.
The invention has the beneficial effects as follows: consider that average gait energygram is too much as the matrix of coefficients element, the problem that dimension is too high is directly calculated, and calculated amount is too large.The average gait energygram that the present invention will obtain looks like to be divided into a plurality of subimages, utilize the bidirectional two-dimensional principal component analysis (PCA) to reduce the matrix of coefficients dimension of average gait quantum of energy image, solved in the Gait Recognition average gait energygram as the too high problem of matrix of coefficients dimension, improve discrimination, accelerated recognition speed.For the more difficult characteristics of classification in identification, introduced the better effects if that fuzzy theory makes classification in the process of categorised decision.The present invention tests the method that proposes on CASIA gait data storehouse, and result shows that the method has recognition performance preferably, and discrimination and recognition speed thereof are better than existing method.
Description of drawings
Fig. 1 the inventive method is extracted the gait sequence profile.
The analysis of Fig. 2 the inventive method gait cycle.
Fig. 3 the inventive method gait frame and gait energygram.
The identifying of the average gait energygram of Fig. 4 the inventive method.
The training of Fig. 5 the inventive method bidirectional two-dimensional principal component analysis (PCA) and identification block diagram.
90 ° of visual angle experimental results of Fig. 6 the inventive method.
Embodiment
The below elaborates to embodiments of the invention, and the present embodiment is implemented under take technical solution of the present invention as prerequisite, provided detailed embodiment and concrete operating process, but protection scope of the present invention is not limited to following embodiment.
Embodiment
The preconditioning technique of step 1, image.At first obtain background image.Adopt the median method of nonlinear smoothing technology, the gray-scale value of each pixel is set to the intermediate value of all the pixel gray-scale values adjacent with this point, recover background image from image sequence, with the intermediate value pixel value of image as a setting of the N continuous two field picture pixel value of input.Order
Represent the sequence that comprises the N two field picture, a background image
Can be expressed as:
, wherein
Be
The gray-scale value at place,
Be background image.
The extraction of step 2, human motion profile: use and indirectly carry out difference operation,
In formula
With
Respectively that present image and background image are in pixel
The brightness value at place.This function can detect according to the brightness of each pixel in background image its Susceptible change, the brightness of present image and background image near the time, can detect better the profile of human motion, as shown in Figure 1.
Step 3, to the quasi periodic analysis of simply connected movement destination image: to obtaining the profile of human body image, use plural form
Be expressed as:
, in formula
With
Coordinate figure for this pixel.An important clue determining the inherent motion of pedestrian be the human body contour outline shape over time.For the complexity that reduces to calculate, two-dimensional contour shape is changed the change in time and space pattern that the one-dimensional distance signal is expressed gait motion that is converted to.The motion change that stresses the following human body lower limbs of waist selects lowest edge point as a reference point, from bottom to top the profile border is expanded into the most left and the rightest 2 points of identical ordinate
With
Distance
, can find out from human body side profile image sequence, gait data is the time-variable data of quasi periodic.The lower limb profile width of people's body side surface can be through the variation of one-period, namely have one minimum again to the change procedure of maximum from being up to, utilize the profile width of two legs to change to carry out periodicity analysis herein, determine gait cycle to the cyclical variation process of maximum according to the lower limb profile width of people's body side surface again from being up to minimum.During another employing profile analysis gait, can't distinguish the left and right leg from profile, as shown in Figure 2.
Step 4, according to the gait cycle of determining, build the energygram of each gait cycle.Suppose the moment in a sequence
tThe time, corresponding pretreated scale-of-two gait contour images is
, the gait energygram of gray level is defined as follows:
, N is the total number of frame in complete gait cycle here,
xWith
yThe coordinate figure that corresponding is in the 2D image,
tRefer to the frame number in gait cycle.After obtaining the energygram of each gait cycle, then have the average image of the gait energygram of complete cycle in the sequence of calculation, obtain an average gait energygram as training sample.Have in the gait sequence that suppose object is
nIndividual complete gait cycle, the
kThe gait energygram of individual gait cycle is expressed as
, the average gait energygram of this gait sequence is:
, as shown in Figure 3.
Step 6, establish
,
, wherein
With
Represent respectively training sample
With
iIndividual row vector.Suppose that training sample is total
MIndividual, the
kIndividual training sample is with one
Matrix
Represent, the average image of all training samples is used
Represent, can obtain the covariance matrix (scatter matrix) of image
For:
, utilize covariance matrix
To every number of sub images collection
Obtain the optimum projection matrix on line direction
Specifically ask method to be: to adopt criterion
, wherein,
The covariance matrix of the projection properties vector of expression training sample,
Expression
Mark, the meaning that maximizes criterion finds a projecting direction exactly
, make all samples project to
After upper, the total population scatter matrix of projection sample is maximum,
Can in the hope of
Step 7, establish
,
, here
With
Expression respectively
With
Individual column vector, image covariance matrix so
Another kind be defined as
, utilize formula
To every number of sub images collection
Ask the optimum projection matrix on column direction
, the same step 6 of method.
Step 9, to an average gait energygram picture to be identified
, at first be partitioned into each number of sub images
, to each self-corresponding projector space projection, obtain the projection matrix on each number of sub images row, column direction, according to formula with every number of sub images
Try to achieve the eigenmatrix of every number of sub images
Step 11, to the degree of membership addition of average each number of sub images of gait energygram to be identified and each training sample subimage summation, obtain image to be identified for the degree of membership of each training sample
, according to maximum membership grade principle, last classification results is
, i.e. facial image to be identified and
SIndividual training sample belongs to a class together, the identifying of average gait energygram as shown in Figure 4, the training of DTPCA and identification block diagram are as shown in Figure 5.
In the present invention, owing to directly matrix being calculated, calculated amount is too large, dimension is too high, generally all that the variable of getting certain characteristic properties that can represent matrix is expressed in the processing of reality, the present invention comes the character of expression matrix with the optimum projection matrix of matrix, can reduce the dimension of matrix, is convenient to calculate.Establish in the present invention that average gait energygram looks like to be divided into
NThe number of sub images collection, the subgraph image set obtains through the bidirectional two-dimensional principal component analysis (PCA)
pOn individual line direction and
qOptimum projection matrix on individual column direction
With
, the present invention is divided into a large matrix minor matrix of several p*q, is convenient to calculate.
Implementation result
According to above-mentioned steps, storehouse Dataset B carries out Gait Recognition to Institute of Automation Research of CAS's CASIA gait data.This database is comprised of 124 people, everyone sequence be from 0 ° to 180 °, with 18 ° of 11 different visual angles that increase progressively.Everyone in database has 10 walking sequences, 6 normal walking sequences (Set A) wherein arranged, the sequence of 2 satchels (Set B), 2 sequences (Set C) of wearing overcoat.As training subset (Set A1), subset (Set A2) is tested in remaining conduct front 3 sequences in everyone Set A.The previous sequence of Set B and Set C is as training subset ((Set B1) and (Set C1)), surplus next sequence is as test subset ((Set B2) and (Set C2)), all experiments all realize on the PC computing machine, this machines configurations is: AMD Turion 64 * 2 Mobile Technology TL-50 dual core processors, 2GB internal memory.
At first the present invention selects 25 people in the storehouse to test, and the visual angle of sequence is the visual angle, positive side of 90 °.A check addition test is stayed in employing, and experimental result as shown in Figure 6.Can find out from experimental result, the experiment effect of experiment A is better than experiment B and C.This is that the average gait energygram of relative Set B and Set C set is less as the actual information dimension when walking due to people in Set A set, and the eigenmatrix after the DTPCA conversion more can characterize its characteristics of image effectively.Set B Set A set relative to Set C set, image is comparatively complicated, and after the DTPCA conversion, eigenmatrix has represented the most information of image, compares and has also lost some average gait energy image feature informations when Set A is integrated into conversion.
The below discusses the comparison of the inventive method and other several methods.The database use CASIA gait data storehouse of experiment, the classification of database selects 40 people in the storehouse to test with top method.The sample object direction of motion of test becomes 90 ° of visual angles with the camera light direction of principal axis, sorter is the nearest neighbor classifier of fuzzy theory decision-making technique, and the discrimination of gained is respectively the mean value of three subset.Algorithm of the present invention obviously is better than other several algorithms, and algorithm is as follows:
MBPSS method: Baofeng Guo, Mark S. Nixon. Gait feature Subset by mutual information[J]. IEEE Trans on Systens, Man, and Cybernetics-Part A:Systems and Humans, 2009,39 (1): 36-46;
ACPE method: based on the gait authentication [J] of acceleration signature point extraction. king's rush, Yuan Tao, Liang Can. Tsing-Hua University's journal (natural science edition), 2009,49 (10): 25-28;
Fanbean method: Wang Kejun, beautifully adorned Xian is firelight or sunlight. based on the Algorithm for gait recognition [J] of linear interpolation. and Central China University of Science and Technology's journal (natural science edition), 2010,38 (2): 41-44;
E-HMM method: Zhang Qianjin, Chen Xiangtao, Bu Wenshao. a kind of identification algorithm [J] based on average gait energygram. Journal of Engineering Graphics, 2011,32 (1): 39-44;
Many Fusion Features method: Wang Kejun, beautifully adorned Xian is firelight or sunlight, Liu Lili etc. based on the information fusion Gait Recognition [J] of energy. and Central China University of Science and Technology's journal (natural science edition), 2009,37 (5): 14-17.
The comparative result of algorithms of different discrimination is:
Algorithms of different comparative result consuming time is: (unit is ms)
Experiment shows, the inventive method as can be seen from the table, the recognition effect of this paper and performance consuming time obviously are better than additive method.MBPSS method and ACPE algorithm are all more classical gait recognition methods, and the complexity of these two kinds of algorithms is apparently higher than this paper algorithm, but its discrimination is not so good as this paper method, and consuming time higher than this paper.The Fanbean algorithm is to use the Fanbean of linear interpolation to hint obliquely in conjunction with the general matrix low-rank to estimate feature extraction algorithm, and the complexity of this algorithm is higher than this paper algorithm, and pedestrian's clothing situation is too relied on.The e-HMM algorithm utilizes the space characteristics information of the average gait energygram of two-dimension discrete cosine transform acquisition, has introduced the method for built-in type hidden Markov model, and calculated amount is greater than this paper algorithm, and its discrimination is also high not as this paper algorithm, and consuming time the longest.Many Feature Fusion Algorithms carry out dimensionality reduction to original sequence preferably in the process of identification, it is medium that computation complexity belongs to, but its discrimination is consuming time also longer not as this paper algorithm.Can be found out by table, with other current several Algorithm for gait recognitions comparisons, this paper algorithm is better than other algorithms on recognition performance, and aspect consuming time all is better than other several algorithms.Obtained discrimination preferably during normal gait, knapsack changes on the identification impact greatly than overcoat.
Claims (1)
1. based on the gait recognition method of the bidirectional two-dimensional principal component analysis (PCA) of fuzzy theory decision-making, it is characterized in that: comprise the steps:
Step 1, the image in a gait sequence is carried out pre-service: the median method that adopts the nonlinear smoothing technology, the gray-scale value of each pixel is set to the intermediate value of all the pixel gray-scale values adjacent with this point, recover background image from image sequence, with the intermediate value pixel value of image as a setting of the N continuous two field picture pixel value of input;
The profile that difference operation is extracted human motion is carried out in step 2, use indirectly;
Step 3, simply connected movement destination image is carried out the quasi periodic analysis, by analyzing the human body contour shape over time, minimum determine gait cycle to the cyclical variation process of maximum again according to the lower limb profile width of people's body side surface from being up to;
The gait cycle that step 4, basis are determined builds the energygram of each gait cycle, and then calculates the average image of the gait energygram that has complete cycle in gait sequence, obtains an average gait energygram as training sample;
Step 5, according to the method for step 1 to four, build
Individual average gait energygram is as training sample
, each sample
All be divided into the N number of sub images
, the subimage of all training image sample correspondence positions forms the subgraph image set
Step 6, establish
,
, wherein
With
Represent respectively training sample
With
iIndividual row vector,
The average image that represents all training samples; Utilize covariance matrix
To every number of sub images collection
Obtain the optimum projection matrix on line direction
Step 7, establish
,
, here
With
Expression respectively
With
Individual column vector is utilized formula
To every number of sub images collection
Ask the optimum projection matrix on column direction
Step 8, utilize formula
Ask each training image sample
All subimages
Eigenmatrix
, wherein
Expression the
iOf individual training sample
jNumber of sub images,
,
MBe the number of training sample,
,
NBe the number of subgraph image set,
For
Correspondence is not less than the diagonal matrix that 1 eigenwert forms,
For less than 1 eigenwert characteristic of correspondence vector,
Be an index between 0-1;
Step 9, to an average gait energygram picture to be identified
B, at first be partitioned into each number of sub images
, to each self-corresponding projector space projection, try to achieve the eigenmatrix of every number of sub images with every number of sub images
Step 10, the distance between each training sample eigenmatrix in the eigenmatrix that obtains of calculation procedure nine and step 8 then
, according to formula
Obtain the subimage of sample to be identified
Degree of membership to training sample
, wherein,
,
Be fuzzy factor;
Step 11, to the degree of membership addition of average each number of sub images of gait energygram to be identified and each training sample subimage summation, obtain image to be identified for the degree of membership of each training sample
, according to maximum membership grade principle, last classification results is
, i.e. gait image to be identified and
SIndividual training sample belongs to a class together.
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CN103577805A (en) * | 2013-10-28 | 2014-02-12 | 汕头大学 | Gender identification method based on continuous gait images |
CN107092865A (en) * | 2017-03-29 | 2017-08-25 | 西北工业大学 | A kind of new Gait Recognition system based on Kinect |
US10552671B2 (en) | 2017-11-22 | 2020-02-04 | King Fahd University Of Petroleum And Minerals | Multi-kernel fuzzy local Gabor feature extraction method for automatic gait recognition |
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