Non-rigid three-dimensional shape point-by-point correspondence method and human heart motion simulation method
A motion simulation, three-dimensional shape technology, applied in the field of computer vision, can solve the problem that the accuracy cannot fully reflect the isometric invariance of the deformation model, and the difficulty of describing the sub-function, etc., to achieve fast iterative convergence speed, good corresponding effect, and high computational efficiency. Effect
Active Publication Date: 2022-07-15
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.
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[0050] like figure 1 Shown is a schematic flow chart of the corresponding method of the present invention.
[0051] Definition of function map:
[0052] Given two 3D shapes, the manifold and Note that the square-integrable function spaces defined on their surfaces are respectively and Let T: Represents a manifold and The point-by-point mapping between and The functional mapping operator T between F : This operator will manifold The function on is mapped to the manifold up, i.e. T F The image is defined as
[0053] respectively given function space and a set of orthonormal basis and Then the function map T F will have the matrix representation C=(c ji ),which is
[0054]
[0055] usually choose manifold and The first k eigenfunctions of the Laplace-Bertemi operator of , respectively, are taken as function spaces and truncated orthonormal basis and Since this group of basis has harmonic properties similar to the classical E...
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The invention discloses a point-by-point correspondence method for non-rigid three-dimensional shapes, comprising: acquiring a three-dimensional grid to be corresponding; calculating a Laplace matrix of the three-dimensional grid; vectors and eigenvalues; select a compact frame wavelet filter and generate the corresponding filter; iteratively optimize the function mapping and point-by-point mapping matrix to obtain the point-by-point correspondence between the three-dimensional grids to be corresponding. The invention also discloses a human heart motion simulation method including the non-rigid three-dimensional shape point-by-point correspondence method. The invention uses the preservation of the multi-scale wavelet as a constraint, the constraint is simpler, more compact and effective, and the iterative convergence speed is faster and the robustness is higher; at the same time, the method of the invention has better corresponding effect and higher calculation efficiency.
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 correspondence between non-rigid shapes is an important and fundamental problem in the fields of computer graphics, computer vision, and pattern recognition. In the real world, most of the deformations of 3D shapes are approximately equidistant, so finding the point-by-point approximate equidistant correspondence between models has become the core problem in the field of shape correspondence research. [0003] At present, the most influential technique for establishing approximate isometric correspondence of non-rigid 3D shapes i...
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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