Multiresolution Techniques for the Simplification of Triangular and Tetrahedral Meshes (original) (raw)
We study the simplification of triangular and tetrahedral meshes using techniques based on successive edge collapses, as well as the exploitation of the generated multiple levels of detail for the effective processing of the models. Regarding triangular meshes, we present a method for the construction of progressive hulls, by suitable edge collapses; we use the generated hulls for the acceleration of intersection tests between the initial mesh and a line. Regarding tetrahedral meshes, we simplify meshes with associated vector fields; we construct progressive tetrahedral meshes by taking into account, while collapsing edges, both the geometry of the mesh and the associated field. Finally, we present an efficient algorithm for computing ray-tetrahedron intersection, which exploits Plücker coordinates to accelerate computations; this algorithm may be used for the efficient processing of progressive tetrahedral meshes.
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