Isosurfaces on optimal regular samples

作者: Thomas Theußl , Torsten Möller , Hamish Carr

DOI: 10.5555/769922.769926

关键词: CombinatoricsMarching cubesDiscrete mathematicsOctahedronMathematicsTetrahedronCartesian coordinate systemHexahedron

摘要: Volumetric samples on Cartesian lattices are less efficient than body-centred cubic (BCC) lattices. We show how to construct isosurfaces BCC using several different algorithms. Since the mesh that arises from involves a large number of cells, we two alternate methods reducing cells by clumping tetrahedra into either octahedra or hexahedra. also propose theoretical model for estimating triangle counts various algorithms, and present experimental results generated one our algorithms can be competitive with Marching Cubes similar grids.

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