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Nonobtuse Meshes with Guaranteed Angle Bounds

Name: Nonobtuse Meshes with Guaranteed Angle Bounds
Brand: VDM Verlag Dr. Mueller E.K.
SKU: 06995564
Price: 49.43 EUR
Availability: InStock
Author: John Y. S. Li
ISBN: 9783836487887

John Y. S. Li

Language

English

Book Paperback

Libristo code: 06995564

Publishers VDM Verlag Dr. Mueller E.K., April 2008

High-quality mesh representations of 3D objects are useful in many applications ranging from compute... Full description

Libristo code: 06995564

120 b

49.43 €

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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.