CN115994993A - Stylized face three-dimensional shape modeling method, system, equipment and storage medium - Google Patents

Stylized face three-dimensional shape modeling method, system, equipment and storage medium Download PDF

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CN115994993A
CN115994993A CN202310111635.8A CN202310111635A CN115994993A CN 115994993 A CN115994993 A CN 115994993A CN 202310111635 A CN202310111635 A CN 202310111635A CN 115994993 A CN115994993 A CN 115994993A
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face
stylized
face image
mesh
triangle mesh
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李冬平
楼建文
黄彪
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Faceunity Technology Co ltd
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Abstract

The invention discloses a method, a system, equipment and a storage medium for modeling a three-dimensional shape of a stylized face, which belong to the technical field of vision and comprise the steps of training a 3DMM fitting model by using a real face image; inputting the stylized face image into a trained 3DMM fitting model to obtain an initial triangle mesh matched with the face shape; and carrying out Laplacian deformation on the triangular meshes by taking the key points of the faces in the stylized face images as targets to obtain final triangular meshes matched with the shape of the stylized faces. The invention carries out Laplace deformation on the 3DMM of the real face, and can automatically and efficiently reconstruct the three-dimensional shape of the face from the stylized face image.

Description

Stylized face three-dimensional shape modeling method, system, equipment and storage medium
Technical Field
The invention belongs to the technical field of vision, and particularly relates to a method, a system, equipment and a storage medium for modeling a three-dimensional shape of a stylized face.
Background
The three-dimensional model of the face is the basis for making a lot of digital contents such as films, animations, etc., and modeling of the three-dimensional shape of the face is one of the key steps. In addition, in many application scenes in real life, a stylized three-dimensional shape model of a face is required, for example, when creating a figure of a Disney animation character with a cartoon big eye style, a three-dimensional shape model of a face with an exaggerated eye size is required to be created. However, modeling the three-dimensional shape of such stylized faces is currently largely dependent on the manual fabrication of professional modelers, and lacks an automatic and efficient method.
Disclosure of Invention
The invention provides a method, a system, equipment and a storage medium for modeling a three-dimensional shape of a stylized face, wherein the method comprises the following steps:
training the 3DMM fitting model by using the real face image;
inputting the stylized face image into the trained 3DMM fitting model to obtain an initial triangle mesh matched with the face shape;
and carrying out Laplacian deformation on the initial triangular grid by taking the key points of the face in the stylized face image as targets to obtain a final triangular grid which is accurately matched with the face shape.
The step of carrying out Laplacian deformation on the initial triangle mesh by taking the key points of the face in the stylized face image as targets, and the step of obtaining the final triangle mesh which is accurately matched with the face shape comprises the following steps:
the objective function formula of the final triangle mesh is as follows:
Figure BDA0004077069250000011
wherein:
Figure BDA0004077069250000012
the deviation between Laplacian coordinates of the vertexes of the triangle meshes before and after deformation;
Figure BDA0004077069250000013
is the stylized face image of the key points on the deformed triangle meshDeviation between the projection position and the corresponding key point position detected on the stylized face image; alpha is a parameter.
It is preferred that the composition of the present invention,
Figure BDA0004077069250000021
the formula is:
Figure BDA0004077069250000022
the said
Figure BDA0004077069250000023
The linear function expressed as P is +.>
Figure BDA0004077069250000024
Figure BDA0004077069250000025
/>
Figure BDA0004077069250000026
Wherein: l represents the number of key points,
Figure BDA0004077069250000027
two-dimensional image coordinates representing key points detected on a stylized face image, +.>
Figure BDA0004077069250000028
Representing three-dimensional space coordinates of the associated triangular mesh keypoints; p is a three-dimensional space coordinate set of the deformed triangle mesh vertexes; pi (II) κ Is a perspective projection operation based on the camera reference matrix k.
It is preferred that the composition of the present invention,
Figure BDA0004077069250000029
the formula is:
Figure BDA00040770692500000210
Figure BDA00040770692500000211
wherein:
Figure BDA00040770692500000212
is the vertex v of the deformed triangle mesh i Laplace coordinates of>
Figure BDA00040770692500000213
Is the vertex v of the triangle mesh before deformation i Is a laplace coordinate of (c); e is the edge set of the triangle mesh.
Preferably, the triangular mesh
Figure BDA00040770692500000214
Comprising the following steps:
Figure BDA00040770692500000215
V＝{v 1 ，v 2 ，…，v n }；
E＝{e 1 ，e 2 ，…，e k }，e i ∈V×V；
F＝{f 1 ，f 2 ，…，f m }，t i ∈V×V×V；
Figure BDA00040770692500000216
wherein: v i ∈V、e i E and f i E F is the vertex, the edge and the triangle in the triangle mesh
Figure BDA00040770692500000217
Index in, n, k and m are the number of vertices, edges and triangles, respectively, in the triangle mesh, +.>
Figure BDA00040770692500000218
Is triangle mesh vertex v i Is a three-dimensional space coordinate of (c).
Preferably, the stylized face image is input into the trained 3DMM fitting model to obtain an initial triangle mesh, and a camera internal reference matrix and an external reference matrix are also obtained.
Preferably, the initial triangle mesh is optimized for laplace deformation, and the optimizing step includes:
detecting face key point coordinates in the stylized face image;
optimizing the reference matrix kappa, wherein an optimization formula is as follows:
Figure BDA0004077069250000031
optimizing the extrinsic matrix [ R, t ]]The optimization formula is as follows:
Figure BDA0004077069250000032
optimizing the vertex coordinate set of the initial triangle mesh, wherein an optimization formula is as follows:
Figure BDA0004077069250000033
and iterating the optimization step until the iteration times reach a set upper limit.
The embodiment of the invention provides a system for modeling a three-dimensional shape of a stylized face, which comprises the following components:
the training module is used for training the 3DMM fitting model by using the real face image;
the output module is used for inputting the stylized face image into the trained 3DMM fitting model to obtain an initial triangle mesh matched with the face shape;
and the deformation module is used for carrying out Laplacian deformation on the initial triangular mesh by taking the face key points in the stylized face image as targets to obtain a final triangular mesh which is accurately matched with the face shape.
The device provided by the embodiment of the invention comprises at least one processing unit and at least one storage unit, wherein the storage unit stores a program, and when the program is executed by the processing unit, the processing unit is caused to execute the method.
A computer readable storage medium storing a computer program executable by a device, which when run on the device causes the device to perform the method described above.
Compared with the prior art, the invention has the beneficial effects that:
the invention carries out Laplace deformation on the 3DMM of the real face, and can automatically and efficiently reconstruct the three-dimensional shape of the face from the stylized face image.
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Fig. 1 is a schematic flow chart of a method for modeling a three-dimensional shape of a stylized face according to an embodiment of the present invention.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments of the present invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
In the description of the present invention, it should be noted that the directions or positional relationships indicated by the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc. are based on the directions or positional relationships shown in the drawings, are merely for convenience of describing the present invention and simplifying the description, and do not indicate or imply that the devices or elements referred to must have a specific orientation, be configured and operated in a specific orientation, and thus should not be construed as limiting the present invention. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
In the description of the present invention, it should also be noted that, unless explicitly specified and limited otherwise, the terms "mounted," "connected," and "connected" are to be construed broadly, and may be either fixedly connected, detachably connected, or integrally connected, for example; can be mechanically or electrically connected; can be directly connected or indirectly connected through an intermediate medium, and can be communication between two elements. The specific meaning of the above terms in the present invention will be understood in specific cases by those of ordinary skill in the art.
Referring to fig. 1, a method, a system, a device and a storage medium for modeling a three-dimensional shape of a stylized face, the method includes:
training the 3DMM fitting model by using the real face image;
specifically, the 3DMM fitting model is trained as prior art, and reference may be made to the paper "Accurate 3DFace Reconstruction with Weakly-Supervised Learning: from Single Image to Image Set". After training, a new real face image is input, so that triangular grids matched with the shape of the face in the image can be obtained
Figure BDA0004077069250000041
Camera intrinsic matrix->
Figure BDA0004077069250000042
And the external reference matrix->
Figure BDA0004077069250000043
(/>
Figure BDA0004077069250000044
Representing a rotation matrix +.>
Figure BDA0004077069250000045
Representing a translation vector).
Inputting the stylized face image into a trained 3DMM fitting model to obtain an initial triangle mesh matched with the face shape;
specifically, the stylized face image is input into a trained 3DMM fitting model to be predicted to obtain an initial triangle mesh
Figure BDA0004077069250000051
Camera reference matrix kappa 0 And an extrinsic matrix [ R ] 0 t 0 ](the superscript of a variable in a formula indicates the corresponding state, where "0" is the initial state). Since the 3DMM fitting model is trained on real face image data, its prediction on stylized face images is not accurate. However, through experimental verification, the matching of the triangular meshes predicted by the 3DMM fitting model and the faces in the stylized face images reaches a good degree on the overall face shape. Therefore, the 3DMM fitting model prediction result is taken as an initial stylized face three-dimensional shape model, and further optimization is developed on the basis.
And carrying out Laplacian deformation on the initial triangular grid by taking the key points of the face in the stylized face image as the target to obtain a final triangular grid which is accurately matched with the face shape.
Specifically, an initial triangular mesh
Figure BDA0004077069250000052
The face image has better matching degree with the face in the stylized face image on the whole face shape, but the faces still have a certain gap in the aspects of the shape of the five sense organs and the like. Therefore, a group of sparse face key points in the fitting stylized face image is taken as a target to enable the triangle mesh to be subjected to Laplacian deformation, so that the deformed triangle mesh is more matched with the face shape in the stylized face image while the local detail characteristics are reserved. This is a typical optimization problem, the variables of which are the three-dimensional set of coordinates P of the vertices of the triangular mesh, the objective function comprising +.>
Figure BDA0004077069250000053
And->
Figure BDA0004077069250000054
Two energy terms.
Figure BDA0004077069250000055
The deviation between the projection position of the key points on the triangle mesh on the stylized face image and the corresponding key point positions detected on the stylized face image is measured, and the formula is as follows:
Figure BDA0004077069250000056
wherein, l represents the number of key points,
Figure BDA0004077069250000057
two-dimensional image coordinates representing key points detected on a stylized face image, +.>
Figure BDA0004077069250000058
Three-dimensional space coordinates representing associated triangular mesh keypoints, pi κ A perspective projection operation based on the camera reference matrix k is represented. />
Figure BDA0004077069250000059
Is a nonlinear function of the triangle mesh vertex coordinate set P and is relatively difficult to optimize. For this purpose, will +.>
Figure BDA00040770692500000510
Further approximately expressed as a linear function of P>
Figure BDA00040770692500000511
Figure BDA00040770692500000512
Figure BDA0004077069250000061
Figure BDA0004077069250000062
The deviation between Laplacian coordinates of the triangle mesh vertexes before and after deformation is calculated to measure the retention degree of the triangle mesh local detail characteristics after deformation, and the formula is as follows: />
Figure BDA0004077069250000063
Figure BDA0004077069250000064
Wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure BDA0004077069250000065
is the vertex v of the deformed triangle mesh i Laplace coordinates of>
Figure BDA0004077069250000066
Is the vertex v of the triangle mesh before deformation i Is a laplace coordinate of (c).
The objective function of the final triangle mesh is:
Figure BDA0004077069250000067
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure BDA0004077069250000068
for regulating->
Figure BDA0004077069250000069
And->
Figure BDA00040770692500000610
Two energy terms are in the objective function +.>
Figure BDA00040770692500000611
Is a weight of (a).
Further, triangular mesh
Figure BDA00040770692500000612
Representing the three-dimensional shape of the face. Triangle mesh->
Figure BDA00040770692500000613
Is formed by connecting triangles in a set of three-dimensional spaces through shared edges or vertices. Mathematically, it is composed of a triad of vertices (V, E, F) representing the mesh topology, composed of a set of vertices (V), a set of edges (E), and a set of triangles (F), combined with a set of three-dimensional spatial coordinates (P) of vertices, triangular mesh
Figure BDA00040770692500000614
Comprising the following steps:
Figure BDA00040770692500000615
V＝{v 1 ，v 2 ，…，v n }；
E＝{e 1 ，e 2 ，…，e k }，e i ∈V×V；
F＝{f 1 ，f 2 ，…，f m }，t i ∈V×V×V；
Figure BDA00040770692500000616
wherein: v i ∈V、e i E and f i E F is the vertex, the edge and the triangle in the triangle mesh
Figure BDA00040770692500000617
Index in, n, k and m are the number of vertices, edges and triangles, respectively, in the triangle mesh, +.>
Figure BDA00040770692500000618
Is triangle mesh vertex v i Is a three-dimensional space coordinate of (c).
Still further, due to the initial camera intrinsic matrix κ 0 And an extrinsic matrix [ R ] 0 t 0 ]Not sufficiently accurate, so that the two matrices need to be optimized before optimizing the initial triangle mesh. The step of optimizing the initial triangular mesh comprises:
detecting face key point coordinates in a stylized face image, wherein the key point detection technology can refer to paper Robust Face Alignment via Deep Progressive Reinitialization and Adaptive Error-drive Learning;
optimizing an internal reference matrix kappa, wherein an optimization formula is as follows:
Figure BDA0004077069250000071
optimizing the extrinsic matrix [ R, t ]]The optimization formula is as follows:
Figure BDA0004077069250000072
techniques for optimizing the reference matrix and the reference matrix can be found in the paper adam: A Method for Stochastic Optimization;
optimizing the vertex coordinate set of the initial triangle mesh, wherein the optimization formula is as follows:
Figure BDA0004077069250000073
which is solved by Cholesky decomposition;
and iterating the optimization step until the iteration times reach a set upper limit.
The embodiment of the invention provides a system for modeling a three-dimensional shape of a stylized face, which comprises the following components:
the training module is used for training the 3DMM fitting model by using the real face image;
the output module is used for inputting the stylized face image into the trained 3DMM fitting model to obtain an initial triangle mesh matched with the face shape;
and the deformation module is used for carrying out Laplacian deformation on the initial triangular grid by taking the key points of the face in the stylized face image as the target to obtain a final triangular grid which is accurately matched with the shape of the face.
The device provided by the embodiment of the invention comprises at least one processing unit and at least one storage unit, wherein the storage unit stores a program, and when the program is executed by the processing unit, the processing unit is caused to execute the method.
The embodiment of the invention provides a computer readable storage medium storing a computer program executable by a device, which when run on the device causes the device to perform the method described above.
The above is only a preferred embodiment of the present invention, and is not intended to limit the present invention, but various modifications and variations can be made to the present invention by those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (10)

1. A method for modeling a three-dimensional shape of a stylized face, comprising:
training the 3DMM fitting model by using the real face image;
inputting the stylized face image into the trained 3DMM fitting model to obtain an initial triangle mesh matched with the face shape;
and carrying out Laplacian deformation on the initial triangular grid by taking the key points of the face in the stylized face image as targets to obtain a final triangular grid which is accurately matched with the face shape.
2. The method of claim 1, wherein the step of performing laplace deformation on the initial triangular mesh with respect to face key points in the stylized face image to obtain a final triangular mesh that exactly matches the face shape comprises:
the objective function formula of the final triangle mesh is as follows:
Figure FDA0004077069230000011
wherein:
Figure FDA0004077069230000012
the deviation between Laplacian coordinates of the vertexes of the triangle meshes before and after deformation; />
Figure FDA0004077069230000013
The method is characterized in that the deviation between the projection position of the key points on the deformed triangle mesh on the stylized face image and the corresponding key point positions detected on the stylized face image is obtained; alpha is a parameter.
3. A method of three-dimensional shape modeling of a stylized face according to claim 2,
Figure FDA0004077069230000014
the formula is:
Figure FDA0004077069230000015
the said
Figure FDA0004077069230000016
The linear function expressed as P is +.>
Figure FDA0004077069230000017
Figure FDA0004077069230000018
Figure FDA0004077069230000019
Wherein: l represents the number of key points,
Figure FDA00040770692300000110
two-dimensional image coordinates representing key points detected on a stylized face image, +.>
Figure FDA00040770692300000111
Representing three-dimensional space coordinates of the associated triangular mesh keypoints; p is a three-dimensional space coordinate set of the deformed triangle mesh vertexes; pi (II) k Is a perspective projection operation based on the camera reference matrix k.
4. A method of three-dimensional shape modeling of a stylized face according to claim 2,
Figure FDA0004077069230000021
the formula is:
Figure FDA0004077069230000022
Figure FDA0004077069230000023
wherein:
Figure FDA0004077069230000024
is the vertex v of the deformed triangle mesh i Laplace coordinates of>
Figure FDA0004077069230000025
Is shaped into aFront triangle mesh vertex v i Is a laplace coordinate of (c); e is the edge set of the triangle mesh.
5. A method of three-dimensional shape modeling of a stylized face as defined in claim 4, wherein said triangular mesh
Figure FDA0004077069230000026
Comprising the following steps:
Figure FDA0004077069230000027
V＝{v 1 ，v 2 ，…，v n }；
E＝{e 1 ，e 2 ，…，e k }，e i ∈V×V；
F＝{f 1 ，f 2 ，…，f m }，t i ∈V×V×V；
Figure FDA0004077069230000028
wherein: v i ∈V、e i E and f i E F is the vertex, the edge and the triangle in the triangle mesh
Figure FDA0004077069230000029
Index in, n, k and m are the number of vertices, edges and triangles, respectively, in the triangle mesh, +.>
Figure FDA00040770692300000210
Is triangle mesh vertex v i Is a three-dimensional space coordinate of (c).
6. The method for three-dimensional shape modeling of a stylized face of claim 5, wherein the stylized face image is input into the trained 3DMM fitted model to obtain an initial triangular mesh, and further to obtain a camera internal reference matrix and an external reference matrix.
7. The method of stylized face three-dimensional shape modeling of claim 6, wherein the optimization of the initial triangle mesh to laplace deformation comprises:
detecting face key point coordinates in the stylized face image;
optimizing the reference matrix kappa, wherein an optimization formula is as follows:
Figure FDA00040770692300000211
optimizing the extrinsic matrix [ R, t ]]The optimization formula is as follows:
Figure FDA00040770692300000212
optimizing the vertex coordinate set of the initial triangle mesh, wherein an optimization formula is as follows:
Figure FDA00040770692300000213
and iterating the optimization step until the iteration times reach a set upper limit.
8. A system for stylized face three-dimensional shape modeling, comprising:
the training module is used for training the 3DMM fitting model by using the real face image;
the output module is used for inputting the stylized face image into the trained 3DMM fitting model to obtain an initial triangle mesh matched with the face shape;
and the deformation module is used for carrying out Laplacian deformation on the initial triangular mesh by taking the face key points in the stylized face image as targets to obtain a final triangular mesh which is accurately matched with the face shape.
9. An apparatus comprising at least one processing unit and at least one storage unit, wherein the storage unit stores a computer program which, when executed by the processing unit, causes the processing unit to perform the method of any of claims 1 to 7.
10. A storage medium storing a computer program executable by a device, which when run on the device causes the device to perform the method of any one of claims 1 to 7.
CN202310111635.8A 2023-01-30 2023-01-30 Stylized face three-dimensional shape modeling method, system, equipment and storage medium Pending CN115994993A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117808943A (en) * 2024-02-29 2024-04-02 天度(厦门)科技股份有限公司 Three-dimensional cartoon face reconstruction method, device, equipment and storage medium

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117808943A (en) * 2024-02-29 2024-04-02 天度(厦门)科技股份有限公司 Three-dimensional cartoon face reconstruction method, device, equipment and storage medium

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