2011Modular Machine Tool & Automatic Manufacturing TechniqueRequires access

Delaunay Tetrahedrizations Algorithms Based on the B-rep Model Boundary Constraint

Changan Liu

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Abstract

To make the solid based on B-rep modal tetrahedrization,the key problems making mesh are studied.The strategy of constrainting the solid`s bounary while making mesh is puted forward with respect to the topological relationships of the data structure in the B-rep Modal,.In order to get right elements,the validity of space containing the nodes is judged.By way of buliding the topological relationships between the faces and the vertexes,the face-normal method that points out whether a tetrahedron is in the solid and the nodes generation algorithm on the tetrahedrons are proposed.In process of tetrahedrizations of the B-rep modal_based 3D solid,the methods are realized using Delaunay point by point insertion and the examples are offered.

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To make the solid based on B-rep modal tetrahedrization,the key problems making mesh are studied.The strategy of constrainting the solid`s bounary while making mesh is puted forward with respect to the topological relationships of the data structure in the B-rep Modal,.In order to get right elements,the validity of space containing the nodes is judged.By way of buliding the topological relationships between the faces and the vertexes,the face-normal method that points out whether a tetrahedron is in the solid and the nodes generation algorithm on the tetrahedrons are proposed.In process of tetrahedrizations of the B-rep modal_based 3D solid,the methods are realized using Delaunay point by point insertion and the examples are offered.

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Available abstract

To make the solid based on B-rep modal tetrahedrization,the key problems making mesh are studied.The strategy of constrainting the solid`s bounary while making mesh is puted forward with respect to the topological relationships of the data structure in the B-rep Modal,.In order to get right elements,the validity of space containing the nodes is judged.By way of buliding the topological relationships between the faces and the vertexes,the face-normal method that points out whether a tetrahedron is in the solid and the nodes generation algorithm on the tetrahedrons are proposed.In process of tetrahedrizations of the B-rep modal_based 3D solid,the methods are realized using Delaunay point by point insertion and the examples are offered.

Key concepts: Tetrahedron, Delaunay triangulation, Boundary (topology), Modal, Constraint (computer-aided design), Algorithm, Point (geometry), Topology (electrical circuits)

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