公开(公告)号：US20220414282A1

公开(公告)日：2022-12-29

申请号：US17605659

申请日：2020-12-15

Applicant: DALIAN UNIVERSITY OF TECHNOLOGY

Inventor： Shengfa WANG ,  Yiming ZHU ,  Xiaopeng ZHENG ,  Na LEI ,  Zhongxuan LUO ,  Fuwei CHEN ,  Yongjie WANG ,  Fan ZHANG

IPC: G06F30/15

Abstract: The present invention discloses a boundary layer mesh generation method based on an anisotropic volume harmonic field, and belongs to the technical filed of computational fluid dynamics, numerical simulation, computer aided design and manufacturing. First, a boundary surface mesh of the Minkowski sum is used to construct a tetrahedral background mesh required for solving volume harmonic fields, then an anisotropic tensor is automatically added according to the actual demand, the anisotropic volume harmonic field is calculated under the control of the tensor, and finally, the advancing direction required by the boundary layer mesh is generated in combination with special weighted Laplace smoothing. The strategy of constructing a tetrahedral background mesh based on the boundary surface mesh of the Minkowski sum of the present invention reduces the calculation time and the memory waste, controllably and locally adjusts the thickness of the boundary layer mesh by automatically adding an anisotropic tensor, optimizes the advancing direction in combination with special weighted Laplace smoothing, and significantly improves the generation quality of the boundary layer mesh.

公开(公告)号：US20240233294A1

公开(公告)日：2024-07-11

申请号：US17778263

申请日：2021-05-08

Applicant: DALIAN UNIVERSITY OF TECHNOLOGY

Inventor： Shengfa WANG ,  Yiming ZHU ,  Xiaopeng ZHENG ,  Na LEI ,  Zhongxuan LUO ,  Fuwei CHEN ,  Yongjie WANG ,  Fan ZHANG

IPC: G06T19/20 ,  G06T17/20

CPC classification number: G06T19/20 ,  G06T17/20 ,  G06T2219/2021

Abstract: The present invention discloses a topological preserving deformation method for a 3D model based on a multiple volumetric harmonic field, and belongs to the fields of computer graphics, computational mathematics, topology and differential geometry. Firstly, a tetrahedral mesh is constructed between a source 3D model and a target 3D model; then, a domain of topological transformation in a deformation process is calculated based on a traditional single volumetric harmonic field; special multiple boundary conditions are set; next, a multiple volumetric harmonic field is calculated; and finally, topological preserving surface deformation is induced. The present invention can find the domain of topological transformation in the deformation process based on a saddle point in the traditional volumetric harmonic field, and can adaptively construct the multiple volumetric harmonic field that can induce topological preserving deformation, so as to generate topological preserving deformation surfaces under the guidance of the multiple volumetric harmonic field. The method has universality and high efficiency for 3D model deformation of the same topology, requires less computational cost compared with the traditional large deformation diffeomorphism metric mapping, and can be widely used.