CN108717527A - Face alignment method based on posture priori - Google Patents

Face alignment method based on posture priori Download PDF

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Publication number
CN108717527A
CN108717527A CN201810458899.XA CN201810458899A CN108717527A CN 108717527 A CN108717527 A CN 108717527A CN 201810458899 A CN201810458899 A CN 201810458899A CN 108717527 A CN108717527 A CN 108717527A
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face
model
facial image
posture
apparent
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周丽芳
文佳黎
李伟生
雷帮军
李佳其
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Chongqing University of Post and Telecommunications
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Chongqing University of Post and Telecommunications
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V40/00Recognition of biometric, human-related or animal-related patterns in image or video data
    • G06V40/10Human or animal bodies, e.g. vehicle occupants or pedestrians; Body parts, e.g. hands
    • G06V40/16Human faces, e.g. facial parts, sketches or expressions
    • G06V40/168Feature extraction; Face representation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F18/00Pattern recognition
    • G06F18/20Analysing
    • G06F18/21Design or setup of recognition systems or techniques; Extraction of features in feature space; Blind source separation
    • G06F18/214Generating training patterns; Bootstrap methods, e.g. bagging or boosting
    • G06F18/2148Generating training patterns; Bootstrap methods, e.g. bagging or boosting characterised by the process organisation or structure, e.g. boosting cascade
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V40/00Recognition of biometric, human-related or animal-related patterns in image or video data
    • G06V40/10Human or animal bodies, e.g. vehicle occupants or pedestrians; Body parts, e.g. hands
    • G06V40/16Human faces, e.g. facial parts, sketches or expressions
    • G06V40/172Classification, e.g. identification

Abstract

The invention belongs to mode identification technology, specially a kind of face alignment method based on posture priori includes the following steps:Using active apparent model, on the face database under unlimited environment, the shape and apparent model of facial image are established;Training stage establishes positive face model, left avertence model and right avertence model respectively according to the characteristic point of every width facial image according to the difference of human face posture;Test phase-utilizes the feature triangle in test set facial image, selects suitable model as the initial model of face;The residual error between model and test set facial image is minimized, warp parameters and apparent parameter are updated come alternating iteration according to inverse composition algorithm SIC simultaneously, realize matching;The present invention establishes positive face model, left avertence model and right avertence model respectively in the training stage according to the difference of posture;In the search phase, suitable model is automatically selected as the initial model of face using feature triangle, the interference so as to avoid attitudes vibration to initial model.

Description

Face alignment method based on posture priori
Technical field
The invention belongs to mode identification technologies;Specially a kind of face alignment method based on posture priori.
Background technology
Face alignment refers to automatic positioning human face characteristic point (such as the key points such as nose, the corners of the mouth, eye center and chin) Process.It is widely used in multiple application fields such as recognition of face, Face datection, feature extraction and Attitude estimation.In crowd In the algorithm research of more automatic study face informations, the algorithm based on model is proved to be most effective.The early stage of this kind of algorithm Research includes deformable template and active contour model, mainly extracts face characteristic and people by solely research characteristic point Face profile.Therefore, matching effect has certain limitation.Recent decades, a variety of including active appearance models AAM are based on Model and method based on texture are suggested.Wherein, AAM is by shape and the display model (picture in one region of research Plain intensity) synthesis model, be widely used in facial image, medical image and characteristic point detection etc. fields.Due to these Model itself has high efficiency and accuracy, and the improved methods about ASM and AAM a variety of in recent years is promoted to be suggested so that It has further promotion in the accuracy rate of human face characteristic point calibration.
But in an actual situation, face but there is always attitudes vibrations.Therefore in the above improved method there are still Shortcoming, which is AAM, to be judged with attitudes vibration, higher to the dependence of initialization model effect.In other words, originally When beginning model and larger standard face difference, subsequent match can be caused to go to pot.At the same time, the matching of AAM is one A iterative process, the parameter of model can be all evaluated in the update of iteration each time.In general, the iteration update of parameter utilizes minimum Change the error function between input picture and model instance to realize.There are two types of the main methods of such issues that solution.The first It is to be realized based on recurrence learning, pace of learning is fast, but is easily trapped into Local Minimum.The method of second of matching AAM is based on Nonlinear least square method algorithm is realized.
In the prior art, research and improvement [D] the Northwestern Polytechnical Universitys of training inverse composition image alignment algorithms are opened, The improvement of the algorithm of inverse composition alignment image is proposed in 2007., but this method can be because of the attitudes vibration and light of face According to and the factors such as block, Initial Face model is interfered;To cause have certain error in face alignment.
Invention content
Present invention seek to address that the above problem of the prior art.It is special to propose accurate face under a kind of non-limiting environmental Sign point scaling method, the specially face alignment method based on posture priori, including:
S1, using active apparent model, on the face database under unlimited environment, establish facial image shape and Apparent model;
S2, training stage, according to the characteristic point of every width facial image, different faces was established according to the difference of human face posture Model;The face initial model includes:Positive face model, left avertence model, right avertence model;
S3, test phase select suitable model as face using the feature triangle in test set facial image Initial model;Test set facial image is mapped on face initial model;
S4, the test set facial image after mapping and the residual error between template facial image are minimized, according to reversed simultaneously Composition algorithm SIC alternating iterations update warp parameters and apparent parameter, realize active apparent model matching.
Further, the formula for establishing face shape model is:
S=s0+Sb;
Wherein, the face shape that s is, s0For the average shape of face, when S is using principal component analysis PCA dimensionality reductions The matrix that obtained feature vector is formed, the vector that b is made of form parameter.
Further, the feature triangle in the facial image using test set, determines suitable face initial model Including:Two centers and nose, constitutive characteristic triangle are positioned using Adaboost iterative algorithms;Using plane analytic geometry and The cosine law finds out the three corresponding diagonal ∠ A in α, β, γ and three, ∠ B, ∠ C of feature triangle;If ∠ A> ∠ B judge face edge run-out to the left, then select left avertence model for suitable face initial model;If ∠ B>∠ A, then judge Face selects right avertence model for suitable face initial model to right avertence;If ∠ A=∠ B, it is suitable to select positive face model Face initial model;Wherein, when α indicates the company at right eye center and nose;When β indicates the company at left eye center and nose; When γ indicates left eye center with right oculocentric company.
Further, described to establish face apparent model, specially:
I=A0+Ac
Wherein, I indicates test set facial image, A0Indicate that average texture vector, A are to utilize principal component analysis PCA dimensionality reductions When the obtained matrix that is formed of feature texture vector, the vector that c is made of apparent parameter.
Further, the residual error formula between the test set facial image minimized after mapping and template facial image For:
Wherein, | | | | indicate L2 norms;I indicates test set facial image, I (W (X;P) test set after distortion) is indicated Facial image;W(X;P) warp function is indicated;X indicates pixel point coordinates;A0For the average texture vector of face, A is to utilize master The matrix that the feature texture vector obtained when constituent analysis PCA dimensionality reductions is formed;P indicates the vector that warp parameters are formed;C tables Show the vector that apparent parameter is formed.
Further, by it is described minimize residual error formula handled in the way of inverse composition including:
Wherein, Δ p indicates increment warp parameters;M indicates the quantity of apparent parameter, also illustrates that the number of feature vector;ci Indicate i-th of apparent parameter;ΔciIndicate the increment of i-th of apparent parameter;AiIndicate ith feature texture.
Further, the acquisition update mode of the warp parameters is:
Wherein,Indicate synthesis operation;Δ p indicates increment warp parameters.
Further, the acquisition update mode of the apparent parameter is:
c←c+Δc
Wherein, Δ c indicates the increment of apparent parameter.
Further, the mode of the inverse composition is subjected to first order Taylor expansion, and ignores second order term and obtains:
Wherein,Indicate the gradient of the average texture vector of face;Indicate partial derivative of the distortion at p.
Further, the incremental update formula of apparent parameter is:
Further, the incremental update formula of warp parameters is:
Δ p=(JTJ)-1JT(I(W(X;p))-A0)
Wherein,P=E-SST;E indicates unit matrix.
Beneficial effects of the present invention:Present invention is generally directed to active apparent model AAM is high to initial model dependency degree, and It the problem of factors influence such as is highly susceptible to posture, illumination and blocks, devise a kind of robust essence based on posture priori Accurate face alignment method.Positive face model, left avertence model and right avertence mould are established according to the difference of posture respectively in the training stage Type.In the search phase, suitable model is automatically selected as the initial model of face, so as to avoid appearance using feature triangle State changes the interference to initial model.In addition, using inverse composition algorithm simultaneously, robust can be realized and accurately match effect Fruit.
Description of the drawings
Fig. 1 is the flow chart of the present invention;
Fig. 2 is the exemplary plot of the carried face characteristic triangle of the present invention;
Fig. 3 is the face samples show of outdoor face database LFPW;
Fig. 4 is four kinds of distinct methods calibration result display diagrams on LFPW face databases:
Fig. 5 is the enlarged drawing of encircled in Fig. 4.
Specific implementation mode
In order to make the purpose , technical scheme and advantage of the present invention be clearer, below in conjunction with attached drawing to of the invention real The technical solution applied in example is clearly and completely described, it is clear that described embodiment is only that a present invention part is implemented Example, instead of all the embodiments.
As shown in Figure 1, the face alignment method based on posture priori of the present invention, including:
S1, using active apparent model, on the face database under unlimited environment, establish facial image shape and Apparent model;
S2, training stage, according to the characteristic point of every width facial image, different faces was established according to the difference of human face posture Model;The face initial model includes:Positive face model, left avertence model, right avertence model;
S3, test phase-select suitable model as face using the feature triangle in test set facial image Initial model;Test set facial image is mapped on face initial model;
S4, the test set facial image after mapping and the residual error between template facial image are minimized, according to reversed simultaneously Composition algorithm SIC alternating iterations update warp parameters and apparent parameter, realize active apparent model matching.
The foundation of face shape model includes:S=s0+Sb;
Wherein, the face shape that s is, s0For the average shape of face, when S is using principal component analysis PCA dimensionality reductions The matrix that obtained feature vector is formed, the vector that b is made of form parameter.
Preferably, apparent model (texture variations model) is established using the texture of training image.It will be instructed by fractionation radiations Practice and everyone face image is concentrated to be mapped to formula s=s0The average shape s of face in+Sb0, realize the normalization to texture, PCA dimensionality reductions, the example that an apparent model can be obtained is recycled to be represented by:I=A0+ Ac, c=AT(I-A0);
Wherein, I indicates test set facial image, A0Indicate that average texture vector, A are to utilize principal component analysis PCA dimensionality reductions When the obtained matrix that is formed of feature texture vector, the vector that c is made of apparent parameter.
1) characteristic point detects
As shown in Fig. 2, positioning human eye center and nose with Adaboost algorithm, it is assumed that right eye coordinate is A (a1,a2), it is left Eye coordinates are B (b1,b2), nose coordinate is C (c1,c2)。
2) feature triangle
Using the method for plane analytic geometry and the cosine law, seek feature triangle three divide in α, β, γ and three Not corresponding diagonal ∠ A, ∠ B, ∠ C:
∠ C=π-∠ A- ∠ B * MERGEFORMAT (6)
3) posture is classified
According to the difference of posture, face can substantially be divided into left avertence, front and right avertence face.Utilize feature triangle needle Positive surface model, left avertence model and right avertence model are respectively trained to different postures.As shown in Figure 2, it can be deduced that:If ∠ A> ∠ B judge face edge run-out to the left, then select left avertence model for suitable face initial model;If ∠ B>∠ A, then judge Face selects right avertence model for suitable face initial model to right avertence;If ∠ A=∠ B, it is suitable to select positive face model Face initial model;Wherein, when α indicates the company at right eye center and nose;When β indicates the company at left eye center and nose; When γ indicates left eye center with right oculocentric company.
The matching of AAM is realized using inverse composition algorithm simultaneously:
1) test set facial image I is given, residual error is minimized and is also equivalent to minimize formula (7):
Wherein, | | | | indicate L2 norms;I indicates test set facial image, I (W (X;P) test set after distortion) is indicated Facial image;W(X;P) warp function is indicated;X indicates pixel point coordinates;A0For the average texture vector of face, A is to utilize master The matrix that the feature texture vector obtained when constituent analysis PCA dimensionality reductions is formed;P indicates the vector that warp parameters are formed;C tables Show the vector that apparent parameter is formed.
2) mode of inverse composition is used to handle formula (7):
Wherein, Δ p indicates increment warp parameters;M indicates the quantity of apparent parameter, also illustrates that the number of feature vector;ci Indicate i-th of apparent parameter;ΔciIndicate the increment of i-th of apparent parameter;AiIndicate ith feature texture.
3) according to formula (8), first order Taylor expansion is carried out:
4) according to formula (9), ignoring second order term can be reduced to:
5) according to formula (10), the update mode of the increment of apparent parameter can be obtained:
6) projector space P=E-AA is definedT, wherein E is unit matrix, since A is an orthogonal intersection space, then optimizes formula (10) it is equal to optimization following equation (12):
Then:
Δ p=H-1JT(I(W(X;p))-A0)\*MERGEFORMAT(13)
Wherein, H=JTJ, Indicate AiGradient.
Δ p and Δ c is updated being optimal by alternating iteration, realizes the accurate AAM matchings of robust.Wherein to distortion Parameter is using reversed newer mode, to apparent parameter using the preceding update mode to addition, i.e.,
Wherein,Indicate synthesis operation.
c←c+Δc \*MERGEFORMAT(15)
One embodiment of the present of invention is as follows:
Using LFPW face databases as experimental data base.
Image in LFPW databases has random variation in the conditions such as posture, expression and illumination, as shown in Figure 3.
1) point-to-point flat by being carried out with existing mainstream alignment schemes in order to effectively assess the effect of face alignment Equal error (being standardized using pupil spacing) is compared.As it can be seen from table 1 method proposed by the invention is in LFPW face databases On performance be better than most of existing excellent algorithms, including mixing Tree-structure Model TSPM, the differentiation of local restriction The cascade posture of response model DRMF, robust return RCPR, there is the gradient descent method SDM of supervision, Gauss-Newton Deformable model GN-DPM, self-encoding encoder neural network CFAN from thick to thin, face pair of the cascade local binary feature on 3000FPS Together, related local regression device learns JLRL.
The comparison of 1 distinct methods of table
2) on LFPW databases, comparison exhibition has been carried out from visual effect using the uncalibrated image of four kinds of distinct methods Show.
Specific alignment effect is as shown in Figure 4 and Figure 5, wherein a is the mark of active direction model AOMs methods in Fig. 4~5 Determining image, b is the uncalibrated image of the depth convolutional network TCDCN of multitask concatenated convolutional network MTCNN junction belt task restrictions, C is the uncalibrated image of the partial model frame CLM-framework for the belt restraining that Cambridge University builds, and d is the side of being carried of the invention The uncalibrated image of method.If Fig. 4 can be seen that, for general simple posture (face for being illustrated in front two row in picture), institute Methodical human face characteristic point matching result is all very effectively.However, in the case where face blocks or on special efficacy image, this Inventing institute's extracting method has preferably performance.Contrast effect is emphasized to be marked with circle in Fig. 4.Fig. 5 is in Fig. 4 The enlarged drawing of circled region, it can be seen that when face, eyes and facial contour are blocked, the present invention has compared to other methods There is superior calibration effect.In addition, for deep learning model, it is that training forms in advance with a large amount of external data sources, Five key points of their main locating human faces (eyes center, nose, the corners of the mouth) compared to traditional algorithm, multiple spot detection result is not Show very excellent.
One of ordinary skill in the art will appreciate that all or part of step in the various methods of above-described embodiment is can It is completed with instructing relevant hardware by program, which can be stored in a computer readable storage medium, storage Medium may include:ROM, RAM, disk or CD etc..
Embodiment provided above has carried out further detailed description, institute to the object, technical solutions and advantages of the present invention It should be understood that embodiment provided above is only the preferred embodiment of the present invention, be not intended to limit the invention, it is all Any modification, equivalent substitution, improvement and etc. made for the present invention, should be included in the present invention within the spirit and principles in the present invention Protection domain within.

Claims (10)

1. a kind of face alignment method based on posture priori, which is characterized in that include the following steps:
S1, using active apparent model, on the face database under unlimited environment, establish the shape of facial image and apparent Model;
S2, training stage, according to the characteristic point of every width facial image, different faceforms was established according to the difference of human face posture; The face initial model includes:Positive face model, left avertence model, right avertence model;
S3, test phase select suitable model as the initial of face using the feature triangle in test set facial image Model;Test set facial image is mapped on face initial model;
S4, the test set facial image after mapping and the residual error between template facial image are minimized, according to inverse composition simultaneously Algorithm SIC alternating iterations update warp parameters and apparent parameter, realize active apparent model matching.
2. a kind of face alignment method based on posture priori according to claim 1, which is characterized in that establish face shape The formula of shape model is:
S=s0+Sb;
Wherein, the face shape that s is, s0For the average shape of face, obtained when S is using principal component analysis PCA dimensionality reductions The matrix that feature vector is formed, the vector that b is made of form parameter.
3. a kind of face alignment method based on posture priori according to claim 1, which is characterized in that described to utilize survey Feature triangle in examination collection facial image, determines that suitable face initial model includes:It is fixed using Adaboost iterative algorithms Two centers in position and nose, constitutive characteristic triangle;Using plane analytic geometry and the cosine law, the three of feature triangle are found out Diagonal ∠ Α corresponding in α, β, γ and three, ∠ B, ∠ C;If ∠ Α>∠ B judge face edge run-out to the left, then Select left avertence model for suitable face initial model;If ∠ B>∠ Α then judge face to right avertence, select right avertence model for Suitable face initial model;If ∠ Α=∠ B select positive face model for suitable face initial model;Wherein, side α Indicate the company side at right eye center and nose;When β indicates the company at left eye center and nose;Side γ is indicated in left eye center and right eye The company side of the heart.
4. a kind of face alignment method based on posture priori according to claim 1, which is characterized in that establish face table See model formula be:
I=A0+Ac
Wherein, I indicates test set facial image, A0Indicate that average texture vector, A obtain when being using principal component analysis PCA dimensionality reductions The matrix that is formed of feature texture vector, the vector that c is made of apparent parameter.
5. a kind of face alignment method based on posture priori according to claim 1, which is characterized in that the minimum Residual error formula between test set facial image after mapping and template facial image is:
Wherein, | | | | indicate L2 norms;I indicates test set facial image, I (W (X;P) the test set face after distortion) is indicated Image;W(X;P) warp function is indicated;X indicates pixel point coordinates;A0For the average texture vector of face, A is to utilize principal component Analyze the matrix that the feature texture vector obtained when PCA dimensionality reductions is formed;P indicates the vector that warp parameters are formed;C indicates table See the vector that parameter is formed.
6. a kind of face alignment method based on posture priori according to claim 5, which is characterized in that the basis is same When inverse composition algorithm SIC alternating iterations update warp parameters and apparent parameter include:Using inverse composition algorithm simultaneously by institute It states the test set facial image after mapping and the residual error between template facial image minimizes;Specially:
Wherein, Δ p indicates increment warp parameters;M indicates the quantity of apparent parameter, also illustrates that the number of feature vector;ciIndicate the I apparent parameters;ΔciIndicate the increment of i-th of apparent parameter;AiIndicate ith feature texture.
7. a kind of face alignment method based on posture priori according to claim 6, which is characterized in that the distortion ginseng Several acquisition update modes are:
The acquisition update mode of the apparent parameter is:
c←c+Δc;
Wherein,Indicate synthesis operation.
8. a kind of face alignment method based on posture priori according to claim 7, which is characterized in that by the formula First order Taylor expansion is carried out, and ignores second order term and obtains:
Wherein, ▽ A0Indicate the gradient of the average texture vector of face;Indicate partial derivative of the distortion at p.
9. a kind of face alignment method based on posture priori according to claim 8, which is characterized in that apparent parameter Incremental update formula is:
10. a kind of face alignment method based on posture priori according to claim 8, which is characterized in that warp parameters Incremental update formula be:
Δ p=(JTJ)-1JT(I(W(X;p))-A0)
Wherein,P=E-SST;E indicates unit matrix;▽AiIndicate AiGradient.
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TWI768913B (en) * 2021-05-20 2022-06-21 國立中正大學 Eye center localization method and localization system thereof
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Application publication date: 20181030