Volumetric mesh deformation method
A volume grid and algorithm technology, applied in image data processing, 3D modeling, instruments, etc., can solve problems such as unfavorable popularization and application, difficult real-time interaction, and complex finite element method principles, etc., to achieve easy implementation, easy operation, and effective The effect of promotion
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[0020] The present invention extends the deformation method based on Laplace coordinates on the surface grid to the volume grid, and the steps are as follows:
[0021] 1. Represent the input tetrahedral mesh as a two-tuple ,in is a point set in three-dimensional Euclidean space; is an abstract simplicial complex that describes all the adjacency information of the mesh, including the vertex set , edge subset , Mianziji , and the tetrahedral subset . Apply the Laplacian operator on the volume mesh to each mesh vertex to define the volume mesh Laplacian coordinates:
[0022] . (1)
[0023] 2. The weight of the body grid Laplacian operator weighted by material ,in It is the material parameter of each tetrahedral unit, which can be used to set the influence of non-uniform material properties inside the physical entity on deformation; for the side on the opposite side side length, for the opposite side of dihedral angles.
[0024] Using the globa...
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