Non-rigid three-dimensional shape point-by-point correspondence method and human heart motion simulation method

A three-dimensional shape, non-rigid technology, applied in the field of computer vision, can solve the problem of difficulty in describing sub-functions, and the accuracy cannot fully reflect the isometric invariance of deformation models.

Active Publication Date: 2021-09-07
CENT SOUTH UNIV
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Problems solved by technology

However, it is usually difficult to obtain a large number of information-rich and linearly independent descriptor functions, and the accuracy of feature extraction of these descriptor functions often cannot fully reflect the isometric invariance of deformation models
Therefore, the existing mainstream methods for establishing non-rigid shape correspondences based on descriptor functions still have major deficiencies in terms of corresponding quality and computational efficiency.

Method used

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  • Non-rigid three-dimensional shape point-by-point correspondence method and human heart motion simulation method
  • Non-rigid three-dimensional shape point-by-point correspondence method and human heart motion simulation method
  • Non-rigid three-dimensional shape point-by-point correspondence method and human heart motion simulation method

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Embodiment Construction

[0050] Such as figure 1 Shown is a schematic method flow diagram of the corresponding method of the present invention.

[0051] Definition of function map:

[0052] Given two 3D shapes, the manifold with Note that the square-integrable function spaces defined on their surfaces are respectively with Order T: represent the manifold with The point-by-point mapping between, and further define on this basis with The function mapping operator T between F : This operator converts the manifold The function on is mapped to the manifold on, ie T F The image of is defined as

[0053] given the function space with A set of orthonormal basis with Then the function mapping T F will have the matrix representation C = (c ji ),which is

[0054]

[0055] Usually choose the manifold with The first k eigenfunctions of the Laplacian-Belter Mi operator are respectively used as the function space with Truncated Orthogonal Basis with Since this ...

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Abstract

The invention discloses a non-rigid three-dimensional shape point-by-point correspondence method. The method comprises the steps of obtaining a to-be-corresponded three-dimensional grid; calculating a Laplacian matrix of the three-dimensional grid; calculating generalized eigenvalues of the Laplacian matrix, and decomposing the generalized eigenvalues to obtain corresponding eigenvectors and eigenvalues; selecting a tight frame wavelet filter and generating a corresponding filter; and iteratively optimizing the function mapping and the point-by-point mapping matrix to obtain point-by-point correspondence between the three-dimensional grids to be corresponding. The invention further discloses a human heart motion simulation method comprising the non-rigid three-dimensional shape point-by-point correspondence method. According to the method, the multi-scale wavelet preservation value is used as a constraint, the constraint is simpler, more compact and more effective, the iteration convergence speed is higher, and the robustness is higher; meanwhile, the corresponding effect of the method is better, and the calculation efficiency is higher.

Description

technical field [0001] The invention belongs to the technical field of computer vision, and in particular relates to a point-by-point correspondence method for non-rigid three-dimensional shapes and a human heart motion simulation method. Background technique [0002] Establishing correspondences between non-rigid shapes has broad applications in techniques such as shape comparison, texture transfer, and shape interpolation. Therefore, establishing correspondences between non-rigid shapes is an important and fundamental problem in fields such as computer graphics, computer vision, and pattern recognition. In the real world, most of the deformations of three-dimensional shapes are approximately isometric, so finding point-by-point approximately isometric correspondence between models has become a core issue in the field of shape correspondence research. [0003] At present, the most influential technique for establishing approximately isometric correspondence of non-rigid th...

Claims

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Application Information

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Patent Type & AuthorityApplications(China)
IPC IPC(8): G06T17/20G06T19/00G06T7/246G06T7/277
CPCG06T17/20G06T19/00G06T7/246G06T7/277G06T2207/30048
Inventor刘圣军李钦松胡玲刘新儒
OwnerCENT SOUTH UNIV