CN102209257B - Stereo image quality objective evaluation method - Google Patents

Stereo image quality objective evaluation method Download PDF

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CN102209257B
CN102209257B CN2011101633794A CN201110163379A CN102209257B CN 102209257 B CN102209257 B CN 102209257B CN 2011101633794 A CN2011101633794 A CN 2011101633794A CN 201110163379 A CN201110163379 A CN 201110163379A CN 102209257 B CN102209257 B CN 102209257B
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CN102209257A (en
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邵枫
顾珊波
蒋刚毅
郁梅
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NANTONG OUKE NC EQUIPMENT Co.,Ltd.
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Ningbo University
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Abstract

The invention discloses a stereo image quality objective evaluation method, which comprises the following steps of: performing singular value decomposition on left and right viewpoint images of undistorted stereo images and distorted stereo images, extracting characteristic vectors of the left and right viewpoint images of the distorted stereo images, and performing linear weighting on the characteristic vectors of the left and right viewpoint images to obtain the characteristic vectors of the distorted stereo images; and training the characteristic vectors of the distorted stereo images of the same distortion type in a distorted stereo image set by using support vector regression, and testing each distorted stereo image of the same distortion type by utilizing a support vector regression training mode to obtain image quality objective evaluation predicted values of each distorted stereo image. The method has the advantages of mapping raw data into a high-dimensional characteristic space and performing linear estimation in the high-dimensional characteristic space to construct an optimal linear function so as to avoid the complex process of simulating the related characteristics and mechanism of a human vision system and improve correlation between objective evaluation results and subjective perception.

Description

A kind of objective evaluation method for quality of stereo images
Technical field
The present invention relates to a kind of image quality evaluating method, especially relate to a kind of objective evaluation method for quality of stereo images.
Background technology
Along with developing rapidly of image coding technique and stereo display technique, the stereo-picture technology has been subject to paying close attention to more and more widely and application, has become a current study hotspot.The stereo-picture technology is utilized the binocular parallax principle of human eye, and binocular receives the left and right visual point image from Same Scene independently of one another, merges and forms binocular parallax by brain, thereby enjoy the stereo-picture with depth perception and realism.Impact due to acquisition system, store compressed and transmission equipment, stereo-picture can inevitably be introduced a series of distortion, and with the single channel image, compare, stereo-picture need to guarantee the picture quality of two passages simultaneously, it is carried out quality evaluation have very important significance.Yet the effective method for objectively evaluating of stereoscopic image quality shortage is estimated at present.Therefore, setting up effective stereo image quality objective evaluation model tool is of great significance.
Objective evaluation method for quality of stereo images mainly can be divided into two classes: 1) based on the left and right channel image quality evaluation of three-dimensional perception, three-dimensional perception evaluation reflects by parallax or depth information, yet the limitation due to present parallax/estimation of Depth technology, how effectively depth image or anaglyph quality are estimated to characterize truly third dimension and know characteristic, remain one of difficulties in the stereo image quality objective evaluation; 2) the plane picture quality evaluating method is directly applied to the evaluation stereo image quality, yet the left and right visual point image of stereoscopic image merges the relief process of generation also to be difficult to represent with simple mathematical method, and also exist and influence each other between the visual point image of left and right, the left and right visual point image is carried out the simple linear weighting be difficult to effectively estimate stereo image quality.Therefore, studying the objective evaluation method for quality of stereo images that meets human visual system is important studying a question.
Summary of the invention
Technical problem to be solved by this invention is to provide a kind of objective evaluation method for quality of stereo images that can effectively improve the correlation of objective evaluation result and subjective perception.
The present invention solves the problems of the technologies described above the technical scheme that adopts: a kind of objective evaluation method for quality of stereo images is characterized in that comprising the following steps:
1. make S orgUndistorted stereo-picture for original, make S disFor the stereo-picture of distortion to be evaluated, with S orgLeft visual point image be designated as L org, with S orgRight visual point image be designated as R org, with S disLeft visual point image be designated as L dis, with S disRight visual point image be designated as R dis
2. to L org, R org, L disAnd R dis4 width images are implemented respectively singular value decomposition, obtain respectively L org, R org, L disAnd R disEach self-corresponding singular value vector of 4 width images, with L orgThe singular value vector be designated as
Figure BDA0000069037790000021
With R orgThe singular value vector be designated as
Figure BDA0000069037790000022
With L disThe singular value vector be designated as
Figure BDA0000069037790000023
With R disThe singular value vector be designated as
Figure BDA0000069037790000024
Wherein, the dimension of each singular value vector is m, and m=min (M, N), min () are for getting minimum value function, and the horizontal size of M presentation video is big or small, the vertical dimension size of N presentation video;
3. calculate L orgThe singular value vector
Figure BDA0000069037790000025
With L disThe singular value vector The absolute difference vector, be designated as X L,
Figure BDA0000069037790000027
With X LAs L disCharacteristic vector, calculate R orgThe singular value vector
Figure BDA0000069037790000028
With R disThe singular value vector The absolute difference vector, be designated as X R,
Figure BDA00000690377900000210
With X RAs R disCharacteristic vector, wherein, " || " is the symbol that takes absolute value;
4. to L disCharacteristic vector X LAnd R disCharacteristic vector X RCarry out linear weighted function, obtain S disCharacteristic vector, be designated as X, X=w LX L+ w RX R, wherein, w LExpression L disWeights proportion, w RExpression R disWeights proportion, w L+ w R=1;
5. adopt n undistorted stereo-picture, set up its distortion stereo-picture set under the different distortion levels of different type of distortion, this distortion stereo-picture set comprises the stereo-picture of several distortions, utilizes the subjective quality assessment method to obtain respectively the average subjective scoring difference of the stereo-picture of every width distortion in the set of distortion stereo-picture, is designated as DMOS, DMOS=100-MOS, wherein, MOS represents the subjective scoring average, DMOS ∈ [0,100], n 〉=1;
6. adopt and calculate S disThe identical method of characteristic vector X, the characteristic vector of the stereo-picture of every width distortion in the set of calculated distortion stereo-picture respectively, the characteristic vector for the stereo-picture of i width distortion in the set of distortion stereo-picture, be designated as X with it i, wherein, 1≤i≤n ', the width number of the stereo-picture of the distortion that comprises in the set of n ' expression distortion stereo-picture;
7. adopt support vector regression to train the characteristic vector of the stereo-picture of all distortions of identical type of distortion in the set of distortion stereo-picture, and the support vector regression training pattern of utilizing training to obtain is tested the stereo-picture of every width distortion of same type of distortion, calculate the evaluating objective quality predicted value of the stereo-picture of every width distortion of identical type of distortion in the set of distortion stereo-picture, evaluating objective quality predicted value for the stereo-picture of i width distortion in the set of distortion stereo-picture, be designated as Q with it i, Q i=f (X i), f () is the function representation form, Q i=f (X i) expression Q iFor X iFunction.
Described step detailed process 2. is:
2.-1, with size be the L of M * N orgBe expressed as the two-dimensional matrix of M * N dimension, be designated as
Figure BDA0000069037790000031
By the two-dimensional matrix of singular value decomposition with M * N dimension
Figure BDA0000069037790000032
Be expressed as
Figure BDA0000069037790000033
Wherein, The orthogonal matrix of expression M * M dimension,
Figure BDA0000069037790000035
The orthogonal matrix of expression N * N dimension,
Figure BDA0000069037790000036
Expression
Figure BDA0000069037790000037
Transposed matrix, The diagonal matrix of expression M * N dimension;
2.-2, with the diagonal matrix of M * N dimension
Figure BDA0000069037790000039
Diagonal element as the two-dimensional matrix of M * N dimension
Figure BDA00000690377900000310
Singular value, from the two-dimensional matrix of M * N dimension
Figure BDA00000690377900000311
Singular value in take out the singular value formation L of m non-zero orgThe singular value vector, be designated as
Figure BDA00000690377900000312
Wherein, m=min (M, N), min () is for getting minimum value function;
2.-3, to R org, L disAnd R disAdopt the operation identical with step 2.-1 to 2.-2, obtain R org, L disAnd R disThe singular value vector, be designated as respectively
Figure BDA00000690377900000313
With
Figure BDA00000690377900000314
Described step detailed process 7. is:
7.-1, the stereo-picture of all distortions of same type of distortion in the set of distortion stereo-picture is divided into mutually disjoint 5 groups of subsets, selects arbitrarily 4 groups of subset composing training sample datas set wherein, be designated as Ω q, { X k, DMOS k∈ Ω q, wherein, q represents training sample data set omega qIn the width number of stereo-picture of the distortion that comprises, X kExpression training sample data set omega qIn the characteristic vector of stereo-picture of k width distortion, DMOS kExpression training sample data set omega qIn the average subjective scoring difference of stereo-picture of k width distortion, 1≤k≤q;
7.-2, structure X kRegression function f (X k),
Figure BDA00000690377900000315
Wherein, f () is the function representation form, and w is weight vector, w TFor the transposed matrix of w, b is bias term,
Figure BDA00000690377900000316
Expression training sample data set omega qIn the linear function of characteristic vector Xk of stereo-picture of k width distortion, D(X k, X l) be the kernel function in support vector regression,
Figure BDA0000069037790000041
X lFor training sample data set omega qIn the characteristic vector of stereo-picture of l width distortion, γ is nuclear parameter, is used for the scope of reflection input sample value, the scope of sample value is larger, and the γ value is also just larger, the exponential function of exp () expression take e the end of as, e=2.71828183, " || || " for asking the Euclidean distance symbol;
7.-3, adopt support vector regression to training sample data set omega qIn the characteristic vector of stereo-picture of all distortion train, make the regression function value and the error between average subjective scoring difference that obtain through training minimum, match obtains optimum weight vector w optBias term b with optimum opt, with the weight vector w of optimum optBias term b with optimum optCombination be designated as ( w opt , b opt ) , ( w opt , b opt ) = arg min ( w , b ) ∈ Ψ Σ k = 1 q ( f ( X k ) - D MOS k ) 2 , The weight vector w of the optimum that utilization obtains optBias term b with optimum optStructure support vector regression training pattern, be designated as
Figure BDA0000069037790000043
Wherein, Ψ represents training sample data set omega qIn the set of combination of the characteristic vector of stereo-picture of all distortion all weight vector of training and bias term,
Figure BDA0000069037790000044
Expression minimizes probability density function, X inpExpress support for the input vector of vector regression training pattern, (w opt) TFor w optTransposed matrix,
Figure BDA0000069037790000045
Express support for the input vector X of vector regression training pattern inpLinear function;
7.-4, according to the support vector regression training pattern, the stereo-picture that remains the every width distortion in 1 group of subset is tested, prediction obtains the evaluating objective quality predicted value of the stereo-picture of every width distortion in this group subset, evaluating objective quality predicted value for the stereo-picture of j width distortion in this group subset, be designated as Q with it j, Q j=f (X j),
Figure BDA0000069037790000046
Wherein, X jThe characteristic vector that represents the stereo-picture of j width distortion in this group subset,
Figure BDA0000069037790000047
The linear function that represents the stereo-picture of j width distortion in this group subset;
7.-5, according to the process of step 7.-1 to 7.-4, respectively the stereo-picture of all distortions of different type of distortion in the set of distortion stereo-picture is trained, obtain the evaluating objective quality predicted value of the stereo-picture of every width distortion in the set of distortion stereo-picture.
Described step 6. in the characteristic vector process of the stereo-picture that calculates the JPEG compression artefacts, get w L=0.50, w R=0.50; In the characteristic vector process of the stereo-picture that calculates the JPEG2000 compression artefacts, get w L=0.15, w R=0.85; In the characteristic vector process of the stereo-picture that calculates the Gaussian Blur distortion, get w L=0.10, w R=0.90; In the characteristic vector process of the stereo-picture that calculates the white noise distortion, get w L=0.20, w R=0.80; In calculating the characteristic vector process of the stereo-picture of coding distortion H.264, get w L=0.10, w R=0.90.
Compared with prior art, the invention has the advantages that:
1) the inventive method is mapped to the characteristic vector of stereo-picture in a high-dimensional feature space by support vector regression, carry out again Linear Estimation in high-dimensional feature space, the characteristic vector of structure optimum regression function stereoscopic image is tested, avoided human visual system's correlation properties and the complicated simulation process of mechanism, and because training sample and test sample book are separate, can avoid test result to the depending on unduly of training data, thereby can effectively improve the correlation of objective evaluation result and subjective perception.
2) the inventive method adopts singular value decomposition method to obtain the left visual point image of stereo-picture and the characteristic vector of right visual point image, again according to the different type of distortion situations of stereo-picture, adopt different weights proportion to carry out linear weighted function to the characteristic vector of its left visual point image and right visual point image, obtain the characteristic vector information of stereo-picture, the characteristic vector information of the stereo-picture that obtains has stronger stability and can reflect preferably the mass change situation of stereo-picture, can reflect well the stereoscopic vision masking effect of human eye.
Description of drawings
Fig. 1 be the inventive method totally realize block diagram;
Fig. 2 a is the left visual point image of Akko (being of a size of 640 * 480) stereo-picture;
Fig. 2 b is the right visual point image of Akko (being of a size of 640 * 480) stereo-picture;
Fig. 3 a is the left visual point image of Altmoabit (being of a size of 1024 * 768) stereo-picture;
Fig. 3 b is the right visual point image of Altmoabit (being of a size of 1024 * 768) stereo-picture;
Fig. 4 a is the left visual point image of Balloons (being of a size of 1024 * 768) stereo-picture;
Fig. 4 b is the right visual point image of Balloons (being of a size of 1024 * 768) stereo-picture;
Fig. 5 a is the left visual point image of Doorflower (being of a size of 1024 * 768) stereo-picture;
Fig. 5 b is the right visual point image of Doorflower (being of a size of 1024 * 768) stereo-picture;
Fig. 6 a is the left visual point image of Kendo (being of a size of 1024 * 768) stereo-picture;
Fig. 6 b is the right visual point image of Kendo (being of a size of 1024 * 768) stereo-picture;
Fig. 7 a is the left visual point image of LeaveLaptop (being of a size of 1024 * 768) stereo-picture;
Fig. 7 b is the right visual point image of LeaveLaptop (being of a size of 1024 * 768) stereo-picture;
Fig. 8 a is the left visual point image of Lovebierd1 (being of a size of 024 * 768) stereo-picture;
Fig. 8 b is the right visual point image of Lovebier1 (being of a size of 1024 * 768) stereo-picture;
Fig. 9 a is the left visual point image of Newspaper (being of a size of 1024 * 768) stereo-picture;
Fig. 9 b is the right visual point image of Newspaper (being of a size of 1024 * 768) stereo-picture;
Figure 10 a is the left visual point image of Puppy (being of a size of 720 * 480) stereo-picture;
Figure 10 b is the right visual point image of Puppy (being of a size of 720 * 480) stereo-picture;
Figure 11 a is the left visual point image of Soccer2 (being of a size of 720 * 480) stereo-picture;
Figure 11 b is the right visual point image of Soccer2 (being of a size of 720 * 480) stereo-picture;
Figure 12 a is the left visual point image of Horse (being of a size of 720 * 480) stereo-picture;
Figure 12 b is the right visual point image of Horse (being of a size of 720 * 480) stereo-picture;
Figure 13 a is the left visual point image of Xmas (being of a size of 640 * 480) stereo-picture;
Figure 13 b is the right visual point image of Xmas (being of a size of 640 * 480) stereo-picture;
Figure 14 is the scatter diagram of objective image quality evaluation predicted value and average subjective scoring difference of the stereo-picture of each distortion in the set of distortion stereo-picture.
Embodiment
Embodiment is described in further detail the present invention below in conjunction with accompanying drawing.
A kind of objective evaluation method for quality of stereo images that the present invention proposes, it totally realizes block diagram as shown in Figure 1, it mainly comprises the following steps:
1. make S orgUndistorted stereo-picture for original, make S disFor the stereo-picture of distortion to be evaluated, with S orgLeft visual point image be designated as L org, with S orgRight visual point image be designated as R org, with S disLeft visual point image be designated as L dis, with S disRight visual point image be designated as R dis
2. to L org, R org, L disAnd R dis4 width images are implemented respectively singular value decomposition, obtain respectively L org, R org, L disAnd R disEach self-corresponding singular value vector of 4 width images, with L orgThe singular value vector be designated as
Figure BDA0000069037790000061
With R orgThe singular value vector be designated as
Figure BDA0000069037790000062
With L disThe singular value vector be designated as
Figure BDA0000069037790000063
With R disThe singular value vector be designated as
Figure BDA0000069037790000064
Wherein, the dimension of each singular value vector is m, and m=min (M, N), min () are for getting minimum value function, and the horizontal size of M presentation video is big or small, the vertical dimension size of N presentation video.
In the present embodiment, step detailed process 2. is:
2.-1, with size be the L of M * N orgBe expressed as the two-dimensional matrix of M * N dimension, be designated as
Figure BDA0000069037790000065
By the two-dimensional matrix of singular value decomposition with M * N dimension
Figure BDA0000069037790000071
Be expressed as
Figure BDA0000069037790000072
Wherein,
Figure BDA0000069037790000073
The orthogonal matrix of expression M * M dimension,
Figure BDA0000069037790000074
The orthogonal matrix of expression N * N dimension, Expression Transposed matrix,
Figure BDA0000069037790000077
The diagonal matrix of expression M * N dimension;
2.-2, with the diagonal matrix of M * N dimension
Figure BDA0000069037790000078
Diagonal element as the two-dimensional matrix of M * N dimension Singular value, from the two-dimensional matrix of M * N dimension
Figure BDA00000690377900000710
Singular value in take out the singular value formation L of m non-zero orgThe singular value vector, be designated as Wherein, m=min (M, N), min () is for getting minimum value function;
2.-3, to R org, L disAnd R disAdopt the operation identical with step 2.-1 to 2.-2, obtain R org, L disAnd R disThe singular value vector, be designated as respectively
Figure BDA00000690377900000712
With
Figure BDA00000690377900000713
3. calculate L orgThe singular value vector
Figure BDA00000690377900000714
With L disThe singular value vector
Figure BDA00000690377900000715
The absolute difference vector, be designated as X L,
Figure BDA00000690377900000716
With X LAs L disCharacteristic vector, calculate R orgThe singular value vector
Figure BDA00000690377900000717
With R disThe singular value vector
Figure BDA00000690377900000718
The absolute difference vector, be designated as X R,
Figure BDA00000690377900000719
With X RAs R disCharacteristic vector, wherein, " || " is the symbol that takes absolute value.
4. to L disCharacteristic vector X LAnd R disCharacteristic vector X RCarry out linear weighted function, obtain S disCharacteristic vector, be designated as X, X=w LX L+ w RX R, wherein, w LExpression L disWeights proportion, w RExpression R disWeights proportion, w L+ w R=1.
5. adopt n undistorted stereo-picture, set up its distortion stereo-picture set under the different distortion levels of different type of distortion, this distortion stereo-picture set comprises the stereo-picture of several distortions, utilizes existing subjective quality assessment method to obtain respectively the average subjective scoring difference of the stereo-picture of every width distortion in the set of distortion stereo-picture, is designated as DMOS, DMOS=100-MOS, wherein, MOS represents the subjective scoring average, DMOS ∈ [0,100], n 〉=1.
in the present embodiment, utilize the stereo-picture as Fig. 2 a and Fig. 2 b formation, the stereo-picture that Fig. 3 a and Fig. 3 b form, the stereo-picture that Fig. 4 a and Fig. 4 b form, the stereo-picture that Fig. 5 a and Fig. 5 b form, the stereo-picture that Fig. 6 a and Fig. 6 b form, the stereo-picture that Fig. 7 a and Fig. 7 b form, the stereo-picture that Fig. 8 a and Fig. 8 b form, the stereo-picture that Fig. 9 a and Fig. 9 b form, the stereo-picture that Figure 10 a and Figure 10 b form, the stereo-picture that Figure 11 a and Figure 11 b form, the stereo-picture that Figure 12 a and Figure 12 b form, the stereo-picture that Figure 13 a and Figure 13 b the form undistorted stereo-picture of totally 12 width (n=12) has been set up its distortion stereo-picture set under the different distortion levels of different type of distortion, this distortion stereo-picture set comprises the stereo-picture of 312 width distortions of 5 kinds of type of distortion altogether, the stereo-picture of the distortion of JPEG compression totally 60 width wherein, the stereo-picture of the distortion of JPEG2000 compression is totally 60 width, the stereo-picture of the distortion of Gaussian Blur (Gaussian Blur) is totally 60 width, the stereo-picture of the distortion of white noise (White Noise) is totally 60 width, the stereo-picture of the distortion of H.264 encoding is totally 72 width.
6. adopt and calculate S disThe identical method of characteristic vector X, the characteristic vector of the stereo-picture of every width distortion in the set of calculated distortion stereo-picture respectively, the characteristic vector for the stereo-picture of i width distortion in the set of distortion stereo-picture, be designated as X with it i, wherein, 1≤i≤n ', the width number of the stereo-picture of the distortion that comprises in the set of n ' expression distortion stereo-picture.
In this specific embodiment, according to the stereoscopic vision masking effect inconsistent characteristic of human eye to different type of distortion, left visual point image and right visual point image to the stereo-picture of different type of distortion arrange different weights proportion, in the characteristic vector process of the stereo-picture that calculates the JPEG compression artefacts, get w L=0.50, w R=0.50; In the characteristic vector process of the stereo-picture that calculates the JPEG2000 compression artefacts, get w L=0.15, w R=0.85; In the characteristic vector process of the stereo-picture that calculates the Gaussian Blur distortion, get w L=0.10, w R=0.90; In the characteristic vector process of the stereo-picture that calculates the white noise distortion, get w L=0.20, w R=0.80; In calculating the characteristic vector process of the stereo-picture of coding distortion H.264, get w L=0.10, w R=0.90.
7. the characteristic vector due to the stereo-picture of distortion is the higher dimensional space vector, need to construct linear decision function and realize non-linear decision function in former space in higher dimensional space, support vector regression (Support Vector Regression, SVR) is a kind of reasonable method that realizes non-linear higher dimensional space conversion.Adopt support vector regression to train the characteristic vector of the stereo-picture of all distortions of identical type of distortion in the set of distortion stereo-picture, and the support vector regression training pattern of utilizing training to obtain is tested the stereo-picture of every width distortion of same type of distortion, calculate the evaluating objective quality predicted value of the stereo-picture of every width distortion of identical type of distortion in the set of distortion stereo-picture, evaluating objective quality predicted value for the stereo-picture of i width distortion in the set of distortion stereo-picture, be designated as Q with it i, Q i=f (X i), f () is the function representation form, Q i=f (X i) expression Q iFor X iFunction.
In this specific embodiment, step detailed process 7. is:
7.-1, the stereo-picture of all distortions of same type of distortion in the set of distortion stereo-picture is divided into mutually disjoint 5 groups of subsets, selects arbitrarily 4 groups of subset composing training sample datas set wherein, be designated as Ω q, { X k, DMOS k∈ Ω q, wherein, q represents training sample data set omega qIn the width number of stereo-picture of the distortion that comprises, X kExpression training sample data set omega qIn the characteristic vector of stereo-picture of k width distortion, DMOS kExpression training sample data set omega qIn the average subjective scoring difference of stereo-picture of k width distortion, 1≤k≤q;
7.-2, structure X kRegression function f (X k),
Figure BDA0000069037790000091
Wherein, f () is the function representation form, and w is weight vector, w TFor the transposed matrix of w, b is bias term,
Figure BDA0000069037790000092
Expression training sample data set omega qIn the characteristic vector X of stereo-picture of k width distortion kLinear function,
Figure BDA0000069037790000093
D(X k, X l) be the kernel function in support vector regression, X lFor training sample data set omega qIn the characteristic vector of stereo-picture of l width distortion, γ is nuclear parameter, is used for the scope of reflection input sample value, the scope of sample value is larger, and the γ value is also just larger, the exponential function of exp () expression take e the end of as, e=2.71828183, " || || " for asking the Euclidean distance symbol;
In the present embodiment, JPEG compression artefacts, JPEG 2000 compression artefacts, Gaussian Blur distortion, white noise distortion and H.264 the γ value of coding distortion get respectively 42,52,54,130 and 116.
7.-3, adopt support vector regression to training sample data set omega qIn the characteristic vector of stereo-picture of all distortion train, make the regression function value and the error between average subjective scoring difference that obtain through training minimum, match obtains optimum weight vector w optBias term b with optimum opt, with the weight vector w of optimum optBias term b with optimum optCombination be designated as (w opt, b opt), ( w opt , b opt ) , ( w opt , b opt ) = arg min ( w , b ) ∈ Ψ Σ k = 1 q ( f ( X k ) - D MOS k ) 2 , The weight vector w of the optimum that utilization obtains optBias term b with optimum optStructure support vector regression training pattern, be designated as
Figure BDA0000069037790000096
Wherein, Ψ represents training sample data set omega qIn the set of combination of the characteristic vector of stereo-picture of all distortion all weight vector of training and bias term,
Figure BDA0000069037790000097
Expression minimizes probability density function, X inpExpress support for the input vector of vector regression training pattern, (w opt) TFor w optTransposed matrix, Express support for the input vector X of vector regression training pattern inpLinear function;
7.-4, according to the support vector regression training pattern, the stereo-picture that remains the every width distortion in 1 group of subset is tested, prediction obtains the evaluating objective quality predicted value of the stereo-picture of every width distortion in this group subset, evaluating objective quality predicted value for the stereo-picture of j width distortion in this group subset, be designated as Q with it j, Q j=f (X j),
Figure BDA0000069037790000101
Wherein, X jThe characteristic vector that represents the stereo-picture of j width distortion in this group subset,
Figure BDA0000069037790000102
The linear function that represents the stereo-picture of j width distortion in this group subset;
7.-5, according to the process of step 7.-1 to 7.-4, respectively the stereo-picture of all distortions of different type of distortion in the set of distortion stereo-picture is trained, obtain the evaluating objective quality predicted value of the stereo-picture of every width distortion in the set of distortion stereo-picture.
Adopt 12 undistorted stereo-pictures shown in Fig. 2 a to Figure 13 b to analyze objective image quality evaluation predicted value and the average correlation between the subjective scoring difference of the stereo-picture of the distortion that the present embodiment obtains at the stereo-picture of in various degree JPEG compression, JPEG2000 compression, Gaussian Blur, white noise and H.264 312 width distortions in the coding distortion situation.Here, utilize 2 objective parameters commonly used of evaluate image quality evaluating method as evaluation index, be Pearson correlation coefficient (the Correlation Coefficient under the nonlinear regression condition, CC), Spearman coefficient correlation (Rank-Order Correlation Coefficient, ROCC), the stereo-picture of CC reflection distortion is estimated the accuracy of objective models, and ROCC reflects its monotonicity.The objective image evaluation quality predicted value of the stereo-picture of the distortion that will calculate by the present embodiment is done four parameter L ogistic function nonlinear fittings, and the higher explanation method for objectively evaluating of CC and ROCC value is better with average subjective scoring difference correlation.CC, the ROCC coefficient of reflection three-dimensional image objective evaluation model performance are as shown in table 1, from the listed data of table 1 as can be known, correlation between the final objective image quality evaluation predicted value of the stereo-picture of the distortion that obtains by the present embodiment and average subjective scoring difference is very high, the result that shows objective evaluation result and human eye subjective perception is more consistent, is enough to illustrate the validity of the inventive method.
Figure 14 has provided the scatter diagram of objective image quality evaluation predicted value with the average subjective scoring difference of the stereo-picture of each distortion in the set of distortion stereo-picture, curve is obtained by four parameter L ogistic function nonlinear fittings, loose point is more concentrated, illustrates that the consistency of objective models and subjective perception is better.As can be seen from Figure 14, the scatter diagram that adopts the inventive method to obtain is more concentrated, and the goodness of fit between the subjective assessment data is higher.
The image quality evaluation predicted value of the stereo-picture of the distortion that table 1 the present embodiment obtains and the correlation between subjective scoring
Figure BDA0000069037790000103

Claims (1)

1. objective evaluation method for quality of stereo images is characterized in that comprising the following steps:
1. make S orgUndistorted stereo-picture for original, make S disFor the stereo-picture of distortion to be evaluated, with S orgLeft visual point image be designated as L org, with S orgRight visual point image be designated as R org, with S disLeft visual point image be designated as L dis, with S disRight visual point image be designated as R dis
2. to L org, R org, L disAnd R dis4 width images are implemented respectively singular value decomposition, obtain respectively L org, R org, L disAnd R disEach self-corresponding singular value vector of 4 width images, with L orgThe singular value vector be designated as
Figure FDA00003152895100011
With R orgThe singular value vector be designated as
Figure FDA00003152895100012
With L disThe singular value vector be designated as
Figure FDA00003152895100013
With R disThe singular value vector be designated as
Figure FDA00003152895100014
Wherein, the dimension of each singular value vector is m, and m=min (M, N), min () are for getting minimum value function, and the horizontal size of M presentation video is big or small, the vertical dimension size of N presentation video;
Described step detailed process 2. is:
2.-1, with size be the L of M * N orgBe expressed as the two-dimensional matrix of M * N dimension, be designated as
Figure FDA00003152895100015
By the two-dimensional matrix of singular value decomposition with M * N dimension
Figure FDA00003152895100016
Be expressed as
Figure FDA00003152895100017
Wherein,
Figure FDA00003152895100018
The orthogonal matrix of expression M * M dimension,
Figure FDA00003152895100019
The orthogonal matrix of expression N * N dimension,
Figure FDA000031528951000110
Expression
Figure FDA000031528951000111
Transposed matrix, The diagonal matrix of expression M * N dimension;
2.-2, with the diagonal matrix of M * N dimension
Figure FDA000031528951000113
Diagonal element as the two-dimensional matrix of M * N dimension Singular value, from the two-dimensional matrix of M * N dimension
Figure FDA000031528951000115
Singular value in take out the singular value formation L of m non-zero orgThe singular value vector, be designated as
Figure FDA000031528951000116
Wherein, m=min (M, N), min () is for getting minimum value function;
2.-3, to R org, L disAnd R disAdopt the operation identical with step 2.-1 to 2.-2, obtain R org, L disAnd R disThe singular value vector, be designated as respectively
Figure FDA000031528951000117
With
Figure FDA000031528951000118
3. calculate L orgThe singular value vector With L disThe singular value vector
Figure FDA000031528951000120
The absolute difference vector, be designated as X L,
Figure FDA000031528951000121
With X LAs L disCharacteristic vector, calculate R orgThe singular value vector With R disThe singular value vector
Figure FDA000031528951000123
The absolute difference vector, be designated as X R,
Figure FDA000031528951000124
With X RAs R disCharacteristic vector, wherein, " || " is the symbol that takes absolute value;
4. to L disCharacteristic vector X LAnd R disCharacteristic vector X RCarry out linear weighted function, obtain S disCharacteristic vector, be designated as X, X=w LX L+ w RX R, wherein, w LExpression L disWeights proportion, w RExpression R disWeights proportion, w L+ w R=1;
5. adopt n undistorted stereo-picture, set up its distortion stereo-picture set under the different distortion levels of different type of distortion, this distortion stereo-picture set comprises the stereo-picture of several distortions, utilizes the subjective quality assessment method to obtain respectively the average subjective scoring difference of the stereo-picture of every width distortion in the set of distortion stereo-picture, is designated as DMOS, DMOS=100-MOS, wherein, MOS represents the subjective scoring average, DMOS ∈ [0,100], n 〉=1;
6. adopt and calculate S disThe identical method of characteristic vector X, the characteristic vector of the stereo-picture of every width distortion in the set of calculated distortion stereo-picture respectively, the characteristic vector for the stereo-picture of i width distortion in the set of distortion stereo-picture, be designated as X with it i, wherein, 1≤i≤n', n' represent the width number of the stereo-picture of the distortion that comprises in the set of distortion stereo-picture;
Described step 6. in the characteristic vector process of the stereo-picture that calculates the JPEG compression artefacts, get w L=0.50, w R=0.50; In the characteristic vector process of the stereo-picture that calculates the JPEG2000 compression artefacts, get w L=0.15, w R=0.85; In the characteristic vector process of the stereo-picture that calculates the Gaussian Blur distortion, get w L=0.10, w R=0.90; In the characteristic vector process of the stereo-picture that calculates the white noise distortion, get w L=0.20, w R=0.80; In calculating the characteristic vector process of the stereo-picture of coding distortion H.264, get w L=0.10, w R=0.90;
7. adopt support vector regression to train the characteristic vector of the stereo-picture of all distortions of identical type of distortion in the set of distortion stereo-picture, and the support vector regression training pattern of utilizing training to obtain is tested the stereo-picture of every width distortion of same type of distortion, calculate the evaluating objective quality predicted value of the stereo-picture of every width distortion of identical type of distortion in the set of distortion stereo-picture, evaluating objective quality predicted value for the stereo-picture of i width distortion in the set of distortion stereo-picture, be designated as Q with it i, Q i=f (X i), f () is the function representation form, Q i=f (X i) expression Q iFor X iFunction;
Described step detailed process 7. is:
7.-1, the stereo-picture of all distortions of same type of distortion in the set of distortion stereo-picture is divided into mutually disjoint 5 groups of subsets, selects arbitrarily 4 groups of subset composing training sample datas set wherein, be designated as Ω q, { X k, DMOS k∈ Ω q, wherein, q represents training sample data set omega qIn the width number of stereo-picture of the distortion that comprises, X kExpression training sample data set omega qIn the characteristic vector of stereo-picture of k width distortion, DMOS kExpression training sample data set omega qIn the average subjective scoring difference of stereo-picture of k width distortion, 1≤k≤q;
7.-2, structure X kRegression function f (X k),
Figure FDA00003152895100031
Wherein, f () is the function representation form, and w is weight vector, w TFor the transposed matrix of w, b is bias term,
Figure FDA00003152895100032
Expression training sample data set omega qIn the characteristic vector X of stereo-picture of k width distortion kLinear function,
Figure FDA00003152895100033
D(X k, X l) be the kernel function in support vector regression,
Figure FDA00003152895100034
X lFor training sample data set omega qIn the characteristic vector of stereo-picture of l width distortion, γ is nuclear parameter, is used for the scope of reflection input sample value, the scope of sample value is larger, and the γ value is also just larger, the exponential function of exp () expression take e the end of as, e=2.71828183, " || || " for asking the Euclidean distance symbol;
7.-3, adopt support vector regression to training sample data set omega qIn the characteristic vector of stereo-picture of all distortion train, make the regression function value and the error between average subjective scoring difference that obtain through training minimum, match obtains optimum weight vector w optBias term b with optimum opt, with the weight vector w of optimum optBias term b with optimum optCombination be designated as (w opt, b opt), ( w opt , b opt ) = arg min ( w , b ) ∈ Ψ Σ k = 1 q ( f ( x k ) - DMOS k ) 2 , The weight vector w of the optimum that utilization obtains optBias term b with optimum optStructure support vector regression training pattern, be designated as
Figure FDA00003152895100036
Wherein, Ψ represents training sample data set omega qIn the set of combination of the characteristic vector of stereo-picture of all distortion all weight vector of training and bias term,
Figure FDA00003152895100037
Expression minimizes probability density function, X inpExpress support for the input vector of vector regression training pattern, (w opt) TFor w optTransposed matrix,
Figure FDA00003152895100038
Express support for the input vector X of vector regression training pattern inpLinear function;
7.-4, according to the support vector regression training pattern, the stereo-picture that remains the every width distortion in 1 group of subset is tested, prediction obtains the evaluating objective quality predicted value of the stereo-picture of every width distortion in this group subset, evaluating objective quality predicted value for the stereo-picture of j width distortion in this group subset, be designated as Q with it j, Q j=f (X j),
Figure FDA00003152895100041
Wherein, X jThe characteristic vector that represents the stereo-picture of j width distortion in this group subset,
Figure FDA00003152895100042
The linear function that represents the stereo-picture of j width distortion in this group subset;
7.-5, according to the process of step 7.-1 to 7.-4, respectively the stereo-picture of all distortions of different type of distortion in the set of distortion stereo-picture is trained, obtain the evaluating objective quality predicted value of the stereo-picture of every width distortion in the set of distortion stereo-picture.
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