TOPOLOGICAL PRESERVING DEFORMATION METHOD FOR 3D MODEL BASED ON MULTIPLE VOLUMETRIC HARMONIC FIELD

    公开(公告)号:US20240233294A1

    公开(公告)日:2024-07-11

    申请号:US17778263

    申请日:2021-05-08

    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.

    EFFICIENT METHOD FOR REPRESENTATION AND OPTIMIZATION OF POROUS STRUCTURES

    公开(公告)号:US20220035967A1

    公开(公告)日:2022-02-03

    申请号:US17349270

    申请日:2021-06-16

    Abstract: An efficient method for representation and optimization of porous structures belongs to the field of computer aided design. Firstly, a representation method of a multi-scale porous structure described by a function is provided. Based on the function representation, an optimization frame is designed. Then, an optimization problem model is established by taking structural energy minimization as a goal and taking a volume and a gradient as constraints. Finally, topological optimization is conducted firstly, and then geometric optimization is conducted. The topology and the thickness of the porous structure are optimized to obtain an optimization model filled with the porous structure. The present invention completely represents, analyzes, optimizes and stores the porous structure by functions, which greatly reduces the calculation complexity and greatly shortens the design and optimization period. Moreover, the present invention can provide an optimization model with strong structural hardness and stiffness under the volume constraint. The structure is suitable for frequently-used 3D printing manufacturing technologies. The internal structure does not need additional support in the printing process, which can save printing time and printing material.

    EFFICIENT DESIGN AND OPTIMIZATION ALGORITHM FRAMEWORK OF MULTI-SCALE POROUS STRUCTURES

    公开(公告)号:US20220327258A1

    公开(公告)日:2022-10-13

    申请号:US17841306

    申请日:2022-06-15

    Abstract: The present invention relates to an efficient design and optimization algorithm framework of multi-scale porous structures. Firstly, initialized parameters are input by the user to obtain an initial porous structure through the design module. Then, the structure and external physical conditions defined by the user are transmitted to the analysis module to conduct mechanical response analysis of the porous structure. Next, an objective function and constraint functions of the optimization module are defined according to application requirements, and gradient information obtained by the analysis module is input to drive the operation of the optimization module. Finally an optimal multi-scale porous structure is obtained. The present invention relies on a vectorization mode in computer programming, converts a loop problem into a memory storage problem, and benefits from the existing fast computer algorithms for solving a system of linear equations, thus accelerating the calculation process of the whole algorithm.

    DESIGN AND OPTIMIZATION METHOD BASED ON SELF SUPPORTING ELLIPSOIDAL CAVITY STRUCTURE

    公开(公告)号:US20230185974A1

    公开(公告)日:2023-06-15

    申请号:US17779354

    申请日:2021-07-16

    CPC classification number: G06F30/10 G06F30/20 G06F2111/10

    Abstract: The present invention discloses a design and optimization method based on a self supporting ellipsoidal cavity structure. First, a three-dimensional model with initialized self supporting ellipsoidal cavities is represented by a function; then the structure of the object is analyzed, modeled and optimized by the continuity and differentiability of the function; the internal lightweighting of the model is carried out with the self supporting ellipsoidal cavities, without the need of adding a supporting structure, thus avoiding waste of materials; the intersection of self supporting ellipsoids is strictly controlled to avoid damage to self supportability within the model due to intersection; and finally, the above modeling problem is geometrically optimized to obtain an internal shape of the object optimized under given constraint conditions. The present invention greatly shortens the design and optimization cycle of the hole structure, realizes self supporting for the internal cavities of the model.

    BOUNDARY LAYER MESH GENERATION METHOD BASED ON ANISOTROPIC VOLUME HARMONIC FIELD

    公开(公告)号:US20220414282A1

    公开(公告)日:2022-12-29

    申请号:US17605659

    申请日:2020-12-15

    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.

    DESIGN AND OPTIMIZATION METHOD OF POROUS STRUCTURE FOR 3D HEAT DISSIPATION BASED ON TRIPLY PERIODIC MINIMAL SURFACE (TPMS)

    公开(公告)号:US20220129595A1

    公开(公告)日:2022-04-28

    申请号:US17291566

    申请日:2020-06-28

    Abstract: A design and optimization method of a porous structure for 3D heat dissipation based on triply periodic minimal surface (TPMS) belongs to the field of computer-aided design. Firstly, a porous structure is established through implicit function presentation of TPMS. Secondly, a heat dissipation problem is converted into a minimization problem of thermal compliance under given constraints according to a steady-state heat conduction equation. Then, parametric functions are directly computed through a global-local interpolation method. Finally, period optimization and wall-thickness optimization are conducted for a modeling problem to obtain an optimized porous shell structure with smooth period and wall-thickness change. The porous structure of the present invention greatly improves the heat dissipation performance, and efficiency and effectiveness of heat conduction. The porous structure designed by the present invention has the characteristics of smoothness, full connectivity, controllability and quasi-self-supporting. These characteristics ensure the applicability and the manufacturability of this structure.

    3D OBJECT INTERNAL HOLLOWING FORM LIGHTWEIGHT METHOD BASED ON FUNCTION REPRESENTATION

    公开(公告)号:US20220019704A1

    公开(公告)日:2022-01-20

    申请号:US17258019

    申请日:2020-07-06

    Abstract: The present invention discloses a 3D shape internal hollowing form lightweight method based on function representation, and belongs to the field of computer-aided design. First, function representation is used and effective analytical calculation of shape optimization is explored; then, under the constraint of given external conditions, the stress structure design of a 3D object as well as the problems of center of mass, stand stability, tumbler design and buoyancy of an object are modeled by building an energy function model, and a corresponding discrete computation is given; finally, the above modeling problems are geometrically optimized to obtain an optimized internal shape of the object under given constraint conditions. The present invention greatly shortens the design and optimization cycles of this kind of cavity structures and can give theoretically optimal results.

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