Bounding Pyramids and Bounding Cones for Triangular Bézier Surfaces

Bounding Pyramids and Bounding Cones for Triangular Bézier Surfaces

Year:    2000

Author:    Jian-Song Deng, Fa-Lai Chen, Li-Li Wang

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 6 : pp. 609–620

Abstract

This paper describes practical approaches on how to construct bounding pyramids and bounding cones for triangular Bézier surfaces. Examples are provided to illustrate the process of construction and comparison is made between various surface bounding volumes. Furthermore, as a starting point for the construction, we provide a way to compute hodographs of triangular Bézier surfaces and improve the algorithm for computing the bounding cone of a set of vectors.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JCM-9071

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 6 : pp. 609–620

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Triangular Bezier surface patch Hodograph Bounding pyramid Bounding cone.

Author Details

Jian-Song Deng

Fa-Lai Chen

Li-Li Wang