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Volume 9, Issue 4
The Convexity of Families of Adjoint Patches for a Bezier Triangular Surface

Yu-Yu Feng & J. Kozak

J. Comp. Math., 9 (1991), pp. 301-304.

Published online: 1991-09

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  • Abstract

A necessary and sufficient condition for the convexity of adjoint patches for a Bezier triangular surface is presented. Furthermore, it is proved that this condition is equivalent to the fact that the adjoint patches form a decreasing sequence as the corresponding degree decreases. The condition can be easily computationally verified.

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@Article{JCM-9-301, author = {Feng , Yu-Yu and Kozak , J.}, title = {The Convexity of Families of Adjoint Patches for a Bezier Triangular Surface}, journal = {Journal of Computational Mathematics}, year = {1991}, volume = {9}, number = {4}, pages = {301--304}, abstract = {

A necessary and sufficient condition for the convexity of adjoint patches for a Bezier triangular surface is presented. Furthermore, it is proved that this condition is equivalent to the fact that the adjoint patches form a decreasing sequence as the corresponding degree decreases. The condition can be easily computationally verified.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9404.html} }
TY - JOUR T1 - The Convexity of Families of Adjoint Patches for a Bezier Triangular Surface AU - Feng , Yu-Yu AU - Kozak , J. JO - Journal of Computational Mathematics VL - 4 SP - 301 EP - 304 PY - 1991 DA - 1991/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9404.html KW - AB -

A necessary and sufficient condition for the convexity of adjoint patches for a Bezier triangular surface is presented. Furthermore, it is proved that this condition is equivalent to the fact that the adjoint patches form a decreasing sequence as the corresponding degree decreases. The condition can be easily computationally verified.

Feng , Yu-Yu and Kozak , J.. (1991). The Convexity of Families of Adjoint Patches for a Bezier Triangular Surface. Journal of Computational Mathematics. 9 (4). 301-304. doi:
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