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Volume 18, Issue 6
Bounding Pyramids and Bounding Cones for Triangular Bézier Surfaces

Jian-Song Deng, Fa-Lai Chen & Li-Li Wang

J. Comp. Math., 18 (2000), pp. 609-620.

Published online: 2000-12

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  • 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.  

  • Keywords

Triangular Bezier surface patch, Hodograph, Bounding pyramid, Bounding cone.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-609, author = {Deng , Jian-SongChen , Fa-Lai and Wang , Li-Li}, title = {Bounding Pyramids and Bounding Cones for Triangular Bézier Surfaces}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {6}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9071.html} }
TY - JOUR T1 - Bounding Pyramids and Bounding Cones for Triangular Bézier Surfaces AU - Deng , Jian-Song AU - Chen , Fa-Lai AU - Wang , Li-Li JO - Journal of Computational Mathematics VL - 6 SP - 609 EP - 620 PY - 2000 DA - 2000/12 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9071.html KW - Triangular Bezier surface patch, Hodograph, Bounding pyramid, Bounding cone. AB -

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.  

Deng , Jian-SongChen , Fa-Lai and Wang , Li-Li. (2000). Bounding Pyramids and Bounding Cones for Triangular Bézier Surfaces. Journal of Computational Mathematics. 18 (6). 609-620. doi:
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