£41.00

VDM Verlag Nonobtuse Meshes with Guaranteed Angle Bounds

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Description

High-quality mesh representations of 3D objects are useful in many applications ranging from computer graphics to mathematical simulation. We present a novel method to generate triangular meshes with a guaranteed face angle bound of [30, 90]. The strategy is to first remesh a 2-manifold, open or closed, mesh into a rough approximate mesh that respects the proposed angle bounds. This is achieved by a novel extension to the Marching Cubes algorithm. Next, we perform an iterative constrained optimization, along with constrained Laplacian smoothing, to arrive at a close approximation of the input mesh. A constrained mesh decimation algorithm is then carried out to produce a hierarchy of coarse meshes where the angle bounds are maintained. We demonstrate the quality of our work through several examples.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
10 April 2008
Listed Since
22 April 2008

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