DocumentCode
3409175
Title
Shape of toric surfaces
Author
Krasauskas, Rimvydas
Author_Institution
Fac. of Math. & Inf., Vilnius Univ., Lithuania
fYear
2001
fDate
2001
Firstpage
55
Lastpage
62
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Graphics, Spring Conference on, 2001.
Conference_Location
Budmerice
Print_ISBN
0-7695-1215-1
Type
conf
DOI
10.1109/SCCG.2001.945337
Filename
945337
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