期刊
ADVANCES IN COMPUTATIONAL MATHEMATICS
卷 17, 期 1-2, 页码 89-113出版社
KLUWER ACADEMIC PUBL
DOI: 10.1023/A:1015289823859
关键词
Bezier surfaces; toric surfaces; geometric modeling
We define a toric surface patch associated with a convex polygon, which has vertices with integer coordinates. This rational surface patch naturally generalizes classical Bezier surfaces. Several features of toric patches are considered: affine invariance, convex hull property, boundary curves, implicit degree and singular points. The method of subdivision into tensor product surfaces is introduced. Fundamentals of a multidimensional variant of this theory are also developed.
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