Toric Surface Patches

نویسنده

  • Rimvydas Krasauskas
چکیده

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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عنوان ژورنال:
  • Adv. Comput. Math.

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2002