CN105096345B - A kind of method for tracking target and system based on dynamic calculation matrix - Google Patents

A kind of method for tracking target and system based on dynamic calculation matrix Download PDF

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CN105096345B
CN105096345B CN201510591575.XA CN201510591575A CN105096345B CN 105096345 B CN105096345 B CN 105096345B CN 201510591575 A CN201510591575 A CN 201510591575A CN 105096345 B CN105096345 B CN 105096345B
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程洪
王润洲
李静
杨路
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University of Electronic Science and Technology of China
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Abstract

The invention discloses a kind of method for tracking target based on dynamic calculation matrix and system, it comprises the following steps:S1:By the high dimensional feature boil down to low-dimensional feature of sample, and initialize dynamic calculation matrix;S2:Multiple positive sample set and negative sample set are gathered around target location, grader renewal learning is carried out;S3:It is determined that in the position of present frame target;S4:Dynamic calculation matrix is updated, and return to step S2, until tracking is completed.The present invention extracts the compressive features of target during tracking using dynamic calculation matrix, i.e. during tracking, calculation matrix is updated using the characteristic of the clarification of objective and Naive Bayes Classifier traced into, the fixed form of calculation matrix is improved, the adaptability of the tracking is stronger.The results show, the tracking has good robustness.

Description

A kind of method for tracking target and system based on dynamic calculation matrix
Technical field
The present invention relates to computer vision field, more particularly to a kind of method for tracking target based on dynamic calculation matrix and System.
Background technology
Target following based on video or image sequence is one of hot issue of computer vision, and target detection has Contact closely, the tracking (tracking-by-detection) based on detection also has benefited from imitating on test problems Rate and the lifting of the degree of accuracy.Target Tracking Problem needs the difficulty tackled a lot, such as illumination variation, target shape or posture become The effect all to tracking such as change and complex scene has a great impact.
Tracking problem can substantially be divided into two classes.One class is the tracking based on generation model, this kind of method learning objective Display model, when rope searches target location, finds and the region that modal distance is nearest or reconstructed error is minimum;Another kind of is to be based on The tracking of discrimination model, this kind of method using tracking problem as two classes classification problem, using target and background as positive and negative Two classes, learn the classification boundaries in two class sample characteristics spaces, take full advantage of contextual information.
MIT tracking target uses the detection mesh calibration method in subrange, is a kind of typical based on detection Tracking.MIT algorithms select Haar-like to select feature and describe target and background, train a shellfish using online boosting methods This grader of leaf realizes tracking.But fixed relationship of the Haar-like features on space structure also limit the description to target Ability, goes to select feature in spite of online boosting methods, but training process is cumbersome.CT track algorithms are improved The space constraint and training process of Haar-like features, i.e., described target and greatly simplified using broad sense Haar-like features Training process.But calculation matrix just no longer changes after initialization in CT algorithms, the solidification of feature mode is result in, is caused at certain Track and drift about under a little scenes.Application No. CN201410660331.8, a kind of entitled " video mesh based on compressed sensing The patent of invention of mark tracking " just employs CT algorithms, but this applies in entirely tracking process all the time according to this matrix To realize Feature Compression, that is to say, that keep sparse matrix constant during whole tracking, that is, result in consolidating for feature mode Change, cause to track in some scenarios and drift about.
The content of the invention
It is an object of the invention to overcome the deficiencies of the prior art and provide a kind of target following based on dynamic calculation matrix Method and system, in tracking process, improve the fixed form of calculation matrix, i.e., according to the compressive features of the target traced into and Piao The characteristic of plain Bayes classifier updates calculation matrix, so as to provide a kind of adaptivity stronger method for tracking target.
The purpose of the present invention is achieved through the following technical solutions:A kind of target following based on dynamic calculation matrix Method, it comprises the following steps:
S1:By the high dimensional feature boil down to low-dimensional feature of sample, and initialize dynamic calculation matrix;
S2:Multiple positive sample set and negative sample set are gathered around target location, grader renewal learning is carried out;
S3:It is determined that in the position of present frame target;
S4:Dynamic calculation matrix is updated, and return to step S2, until tracking is completed.
Step S1 includes following sub-step:
S11:By sampleHigh dimensional featureBoil down to low-dimensional featureI.e.:
V=R (t) x;
In formula, wherein m=(wh)2, n < < m,It is dynamic calculation matrix;
S12:Dynamic calculation matrix R (t) is initialized, that is, the element generated in R (0), formula is:
In formula, s=m/4, the sparse degree of representing matrix;I, j are respectively matrix R (0) ranks mark, ri,j(0) represent The element of i rows j row.
Step S2 includes following sub-step:
S21:Gather multiple positive samples and multiple negative samples composition positive sample set Z respectively around targetαAnd negative sample Set Zβ, wherein, α and β are the radius for choosing positive and negative samples, 0 < α < β;And obtain positive sample set ZαWith negative sample collection Close ZβCompressive features collection VαAnd Vβ
S22:Using Naive Bayes Classifier H (v), probabilistic model is set up respectively to compressive features v every dimension:
In formula, compressive features v ∈ Vα∪Vβ, compressive features v each element is independently distributed, and positive sample set Zα With negative sample set ZβObedience is uniformly distributed i.e. p (y=1)=p (y=0);Y ∈ { 0,1 } representative sample label, y=0 represents negative Sample, y=1 represents positive sample;
S23:Gauss model is set up respectively to compressive features v every dimension:
In formula,It is the average and variance of positive sample model i-th dimension,It is negative sample model i-th dimension Average and variance;Target and sample pattern are by parameterRepresent;
S24:Grader learning process:Characteristic statisticses value is calculated, iteration updates positive sample model:
In formula, λ is learning rate,WithIt is according to step S23 Average and variance that positive sample modeling statistics is obtained.
Step S3 includes following sub-step:
S31:The collecting sample composition candidate samples set Z around previous frame targetγ, by ZγMiddle sample do feature extraction and Compression, obtains compressive features v';
S32:Compressive features v' is input to Naive Bayes Classifier H (v), the compressive features v of highest scoring is obtained*
v*Positive sample confidence level highest feature is categorized into, then this compressive features v*Corresponding sample is target sample, Then the new position of target is obtained.
Step S4 includes following sub-step:
S41:Using Naive Bayes Classifier H (v) to compressive features v*Each dimensionality analysis:
S42:Define error function:
error(v* i)=- hi(v *);
And represent to need the corresponding row vector of renewal, i.e. the i-th dx dimensional vectors in dynamic calculation matrix using idx:
S43:New row vector is produced using random mannerRow vector R*Element be:
In formula, r1,j *It is row vector R*J-th of element;S=m/4, the sparse degree of representing matrix;
S44:The new row vector R obtained with step S43*The i-th dx dimensional vectors in dynamic calculation matrix are replaced, formula is such as Under:
In formula, t represents current frame number, i.e., in t frames;
S45:Terminate if target following is completed, otherwise return to step S2.
A kind of Target Tracking System based on dynamic calculation matrix, it includes dynamic calculation matrix initialization module, training Classifier modules, search object module and dynamic calculation matrix update module;Described dynamic calculation matrix initialization module is used In the dynamic calculation matrix of initialization;Described training classifier modules are used to be updated according to the compressive features of positive negative sample and classified Device;Described search object module is used to gather candidate samples around the target of previous frame, and the compression of candidate samples is special Input grader is levied, the corresponding sample of compressive features of highest scoring is just considered as the target sample of present frame;Described dynamic The target sample that calculation matrix update module is obtained using the characteristic of grader and by searching for object module measures square to dynamic Battle array is updated.
Described grader is Naive Bayes Classifier.
The beneficial effects of the invention are as follows:The present invention proposes a kind of method for tracking target based on dynamic calculation matrix.Should Method extracts the compressive features of target during tracking using dynamic calculation matrix, i.e., during tracking, using tracing into Clarification of objective and Naive Bayes Classifier characteristic update calculation matrix, improve the fixed form of calculation matrix, should The adaptability of tracking is stronger.The results show, the tracking has good robustness.
Brief description of the drawings
Fig. 1 is the inventive method flow chart;
Fig. 2 is that feature of present invention is extracted and compression process schematic diagram;
The renewal process schematic diagram of the dynamic calculation matrix of Fig. 3 present invention.
Embodiment
Technical scheme is described in further detail below in conjunction with the accompanying drawings:As shown in figure 1, a kind of based on dynamic measurement The method for tracking target of matrix, it comprises the following steps:
S1:By the high dimensional feature boil down to low-dimensional feature of sample, and initialize dynamic calculation matrix;
S2:Multiple positive sample set and negative sample set are gathered around target location, grader renewal learning is carried out;
S3:It is determined that in the position of present frame target;
S4:Dynamic calculation matrix is updated, and return to step S2, until tracking is completed.
Step S1 includes following sub-step:
S11:By sampleHigh dimensional featureBoil down to low-dimensional featureI.e.:
V=R (t) x;
In formula, wherein m=(wh)2, n < < m,It is dynamic calculation matrix;
S12:Dynamic calculation matrix R (t) is initialized, that is, the element generated in R (0), formula is:
In formula, s=m/4, the sparse degree of representing matrix;I, j are respectively matrix R (0) ranks mark, ri,j(0) represent The element of i rows j row.
Step S2 includes following sub-step:
S21:As shown in Fig. 2 the formula in step S12 gathers multiple positive samples and multiple negative respectively around target Sample composition positive sample set ZαWith negative sample set Zβ, wherein, α and β are the radius for choosing positive and negative samples, 0 < α < β; And obtain positive sample set ZαWith negative sample set ZβCompressive features collection VαAnd Vβ
S22:Using Naive Bayes Classifier H (v), probabilistic model is set up respectively to compressive features v every dimension:
In formula, compressive features v ∈ Vα∪Vβ, compressive features v each element is independently distributed, and positive sample set Zα With negative sample set ZβObedience is uniformly distributed i.e. p (y=1)=p (y=0);Y ∈ { 0,1 } representative sample label, y=0 represents negative Sample, y=1 represents positive sample;
S23:Gauss model is set up respectively to compressive features v every dimension:
In formula,It is the average and variance of positive sample model i-th dimension,It is negative sample model i-th dimension Average and variance;Target and sample pattern are by parameterRepresent;
S24:Grader learning process:Characteristic statisticses value is calculated, iteration updates positive sample model:
In formula, λ is learning rate,WithIt is according to step S23 Average and variance that positive sample modeling statistics is obtained.
Step S3 includes following sub-step:
S31:The collecting sample composition candidate samples set Z around previous frame targetγ, by ZγMiddle sample do feature extraction and Compression, obtains compressive features v', as shown in the formula in step S12;
S32:Compressive features v' is input to Naive Bayes Classifier H (v), the compressive features v of highest scoring is obtained*
v*Positive sample confidence level highest feature is categorized into, then this compressive features v*Corresponding sample is target sample, Then the new position of target is obtained.
Step S4 includes following sub-step:
S41:Using Naive Bayes Classifier H (v) to compressive features v*Each dimensionality analysis:
S42:v*In be classified as positive sample may a minimum dimension be that we are concerned about " bad feature ", it is represented should Dimensional feature can not preferably describe positive negative sample, align sample classification and had the opposite effect for positive sample;Still define error function:
error(v* i)=- hi(v*);
The dimension of above-mentioned " bad feature " corresponding row vector in dynamic calculation matrix is represented with idx, i.e.,:
So, it is determined that the row vector changed, as the i-th dx dimensional vectors are needed in dynamic calculation matrix;
S43:New row vector is produced using random mannerRow vector R*Element be:
In formula, r1,j *It is row vector R*J-th of element;S=m/4, the sparse degree of representing matrix;
S44:The renewal process of dynamic calculation matrix is as shown in figure 3, the new row vector R obtained with step S43*Replace dynamic I-th dx dimensional vectors in state calculation matrix, formula is as follows:
In formula, t represents current frame number, i.e., in t frames;
S45:Terminate if target following is completed, otherwise return to step S2.
A kind of Target Tracking System based on dynamic calculation matrix, it includes dynamic calculation matrix initialization module, training Classifier modules, search object module and dynamic calculation matrix update module;Described dynamic calculation matrix initialization module is used In the dynamic calculation matrix of initialization;Described training classifier modules are used to be updated according to the compressive features of positive negative sample and classified Device;Described search object module is used to gather candidate samples around the target of previous frame, and the compression of candidate samples is special Input grader is levied, the corresponding sample of compressive features of highest scoring is just considered as the target sample of present frame;Described dynamic The target sample that calculation matrix update module is obtained using the characteristic of grader and by searching for object module measures square to dynamic Battle array is updated.
Described grader is Naive Bayes Classifier.

Claims (4)

1. a kind of method for tracking target based on dynamic calculation matrix, it is characterised in that:It comprises the following steps:
S1:By the high dimensional feature boil down to low-dimensional feature of sample, and initialize dynamic calculation matrix;
S2:Multiple positive sample set and negative sample set are gathered around target location, grader renewal learning is carried out;
S3:It is determined that in the position of present frame target;
S4:Dynamic calculation matrix is updated, and return to step S2, until tracking is completed;
Step S4 includes following sub-step:
S41:Using Naive Bayes Classifier H (v) to compressive features v*Each dimensionality analysis:
<mrow> <msub> <mi>h</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msup> <mi>v</mi> <mo>*</mo> </msup> <mo>)</mo> </mrow> <mo>=</mo> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>p</mi> <mrow> <mo>(</mo> <msub> <msup> <mi>v</mi> <mo>*</mo> </msup> <mi>i</mi> </msub> <mo>|</mo> <mi>y</mi> <mo>=</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> <mrow> <mi>p</mi> <mrow> <mo>(</mo> <msub> <msup> <mi>v</mi> <mo>*</mo> </msup> <mi>i</mi> </msub> <mo>|</mo> <mi>y</mi> <mo>=</mo> <mn>0</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
S42:Define error function:
error(v* i)=- hi(v*);
And represent to need the corresponding row vector of renewal, i.e. the i-th dx dimensional vectors in dynamic calculation matrix using idx:
<mrow> <mi>i</mi> <mi>d</mi> <mi>x</mi> <mo>=</mo> <mi>arg</mi> <munder> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> <mrow> <mn>1</mn> <mo>&amp;le;</mo> <mi>i</mi> <mo>&amp;le;</mo> <mi>n</mi> </mrow> </munder> <mi>e</mi> <mi>r</mi> <mi>r</mi> <mi>o</mi> <mi>r</mi> <mrow> <mo>(</mo> <msub> <msup> <mi>v</mi> <mo>*</mo> </msup> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
S43:New row vector is produced using random mannerRow vector R*Element be:
In formula, r1,j *It is row vector R*J-th of element;S=m/4, the sparse degree of representing matrix;
S44:The new row vector R obtained with step S43*The i-th dx dimensional vectors in dynamic calculation matrix are replaced, formula is as follows:
<mrow> <msub> <mi>r</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>r</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>,</mo> </mrow> </mtd> <mtd> <mrow> <mi>i</mi> <mo>&amp;NotEqual;</mo> <mi>i</mi> <mi>d</mi> <mi>x</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mi>r</mi> <mrow> <mn>1</mn> <mo>,</mo> <mi>j</mi> </mrow> <mo>*</mo> </msubsup> <mo>,</mo> </mrow> </mtd> <mtd> <mrow> <mi>i</mi> <mo>=</mo> <mi>i</mi> <mi>d</mi> <mi>x</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> </mrow>
In formula, t represents current frame number, i.e., in t frames;
S45:Terminate if target following is completed, otherwise return to step S2.
2. a kind of method for tracking target based on dynamic calculation matrix according to claim 1, it is characterised in that:Step S1 Including following sub-step:
S11:By sampleHigh dimensional featureBoil down to low-dimensional featureI.e.:
V=R (t) x;
In formula, wherein m=(wh)2, n=m,It is dynamic calculation matrix;
S12:Dynamic calculation matrix R (t) is initialized, that is, the element generated in R (0), formula is:
In formula, s=m/4, the sparse degree of representing matrix;I, j are respectively matrix R (0) ranks mark, ri,j(0) i rows j is represented The element of row.
3. a kind of method for tracking target based on dynamic calculation matrix according to claim 1, it is characterised in that:Step S2 Including following sub-step:
S21:Gather multiple positive samples and multiple negative samples composition positive sample set Z respectively around targetαWith negative sample set Zβ, wherein, α and β are the radius for choosing positive and negative samples, 0 < α < β;And obtain positive sample set ZαWith negative sample set Zβ Compressive features collection VαAnd Vβ
S22:Using Naive Bayes Classifier H (v), probabilistic model is set up respectively to compressive features v every dimension:
<mrow> <mi>H</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <msubsup> <mi>&amp;Pi;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </msubsup> <mi>p</mi> <mrow> <mo>(</mo> <msub> <mi>v</mi> <mi>i</mi> </msub> <mo>|</mo> <mi>y</mi> <mo>=</mo> <mn>1</mn> <mo>)</mo> </mrow> <mi>p</mi> <mrow> <mo>(</mo> <mi>y</mi> <mo>=</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> <mrow> <msubsup> <mi>&amp;Pi;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </msubsup> <mi>p</mi> <mrow> <mo>(</mo> <msub> <mi>v</mi> <mi>i</mi> </msub> <mo>|</mo> <mi>y</mi> <mo>=</mo> <mn>0</mn> <mo>)</mo> </mrow> <mi>p</mi> <mrow> <mo>(</mo> <mi>y</mi> <mo>=</mo> <mn>0</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>p</mi> <mrow> <mo>(</mo> <msub> <mi>v</mi> <mi>i</mi> </msub> <mo>|</mo> <mi>y</mi> <mo>=</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> <mrow> <mi>p</mi> <mrow> <mo>(</mo> <msub> <mi>v</mi> <mi>i</mi> </msub> <mo>|</mo> <mi>y</mi> <mo>=</mo> <mn>0</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
In formula, compressive features v ∈ VαUVβ, compressive features v each element is independently distributed, and positive sample set ZαWith negative sample This set ZβObedience is uniformly distributed i.e. p (y=1)=p (y=0);Y ∈ { 0,1 } representative sample label, y=0 represents negative sample, y =1 represents positive sample;
S23:Gauss model is set up respectively to compressive features v every dimension:
<mrow> <mi>p</mi> <mrow> <mo>(</mo> <msub> <mi>v</mi> <mi>i</mi> </msub> <mo>|</mo> <mi>y</mi> <mo>=</mo> <mn>0</mn> <mo>)</mo> </mrow> <mo>:</mo> <mi>N</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;mu;</mi> <mi>i</mi> <mn>0</mn> </msubsup> <mo>,</mo> <msubsup> <mi>&amp;sigma;</mi> <mi>i</mi> <mn>0</mn> </msubsup> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
<mrow> <mi>p</mi> <mrow> <mo>(</mo> <msub> <mi>v</mi> <mi>i</mi> </msub> <mo>|</mo> <mi>y</mi> <mo>=</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>:</mo> <mi>N</mi> <mrow> <mo>(</mo> <msubsup> <mi>&amp;mu;</mi> <mi>i</mi> <mn>1</mn> </msubsup> <mo>,</mo> <msubsup> <mi>&amp;sigma;</mi> <mi>i</mi> <mn>1</mn> </msubsup> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
In formula, It is the average and variance of positive sample model i-th dimension, It is the average and variance of negative sample model i-th dimension; Target and sample pattern are by parameterRepresent;
S24:Grader learning process:Characteristic statisticses value is calculated, iteration updates positive sample model:
<mrow> <msubsup> <mi>&amp;mu;</mi> <mi>i</mi> <mn>1</mn> </msubsup> <mo>&amp;LeftArrow;</mo> <msubsup> <mi>&amp;lambda;&amp;mu;</mi> <mi>i</mi> <mn>1</mn> </msubsup> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <msup> <mi>&amp;mu;</mi> <mn>1</mn> </msup> <mo>;</mo> </mrow>
<mrow> <msubsup> <mi>&amp;sigma;</mi> <mi>i</mi> <mn>1</mn> </msubsup> <mo>&amp;LeftArrow;</mo> <msqrt> <mrow> <mi>&amp;lambda;</mi> <msup> <mrow> <mo>(</mo> <msubsup> <mi>&amp;sigma;</mi> <mi>i</mi> <mn>1</mn> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <msup> <mrow> <mo>(</mo> <msup> <mi>&amp;sigma;</mi> <mn>1</mn> </msup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <mi>&amp;lambda;</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>&amp;lambda;</mi> <mo>)</mo> </mrow> <msup> <mrow> <mo>(</mo> <msubsup> <mi>&amp;mu;</mi> <mi>i</mi> <mn>1</mn> </msubsup> <mo>-</mo> <msup> <mi>&amp;mu;</mi> <mn>1</mn> </msup> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> <mo>;</mo> </mrow>
In formula, λ is learning rate,WithIt is the positive sample according to step S23 Average and variance that modeling statistics is obtained.
4. a kind of method for tracking target based on dynamic calculation matrix according to claim 1, it is characterised in that:Step S3 Including following sub-step:
S31:The collecting sample composition candidate samples set Z around previous frame targetγ, by ZγMiddle sample does feature extraction and pressure Contracting, obtains compressive features v';
S32:Compressive features v' is input to Naive Bayes Classifier H (v), the compressive features v of highest scoring is obtained*
<mrow> <msup> <mi>v</mi> <mo>*</mo> </msup> <mo>=</mo> <mi>arg</mi> <munder> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> <mrow> <mi>v</mi> <mo>&amp;Element;</mo> <msup> <mi>V</mi> <mi>&amp;gamma;</mi> </msup> </mrow> </munder> <mi>H</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
v*Positive sample confidence level highest feature is categorized into, then this compressive features v*Corresponding sample is target sample, then Obtain the new position of target.
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