Title :
Shape of toric surfaces
Author :
Krasauskas, Rimvydas
Author_Institution :
Fac. of Math. & Inf., Vilnius Univ., Lithuania
Abstract :
We present an informal introduction to the theory of toric surfaces from the viewpoint of geometric modeling. Bezier surfaces and many well-known low-degree rational surfaces are found to be toric. Bezier-like control point schemes for toric surfaces are defined via mixed trigonometric-polynomial parametrizations. Many examples are considered: quadrics, cubic Mobius strip, quartic ´pillow´, ´crosscap´ and Dupin cyclides. A ´pear´ shape modeling is presented
Keywords :
CAD; computational geometry; polynomials; rational functions; Bezier like control point schemes; Bezier surfaces; Dupin cyclides; algebraic geometry; crosscap; cubic Mobius strip; geometric modeling; low-degree rational surfaces; mixed trigonometric polynomial parametrizations; pear shape modeling; quadrics; quartic pillow; toric surface theory; Control system synthesis; Geometry; Informatics; Mathematical model; Mathematics; Polynomials; Shape; Solid modeling; Spline; Strips;
Conference_Titel :
Computer Graphics, Spring Conference on, 2001.
Conference_Location :
Budmerice
Print_ISBN :
0-7695-1215-1
DOI :
10.1109/SCCG.2001.945337
