Toric Surface Patches |
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Authors: | Krasauskas Rimvydas |
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Affiliation: | (1) Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 2600 Vilnius, Lithuania |
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Abstract: | We define a toric surface patch associated with a convex polygon, which has vertices with integer coordinates. This rational surface patch naturally generalizes classical Bézier 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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Keywords: | Bé zier surfaces toric surfaces geometric modeling |
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