DocumentCode
761940
Title
From conics to NURBS: A tutorial and survey
Author
Farin, Gerald
Author_Institution
Dept. of Comput. Sci., Arizona State Univ., Tempe, AZ, USA
Volume
12
Issue
5
fYear
1992
Firstpage
78
Lastpage
86
Abstract
The main geometric features of the nonuniform rational B-splines (NURBS) curve and surface representations are described. It is shown that most of these features are already exhibited by conics, which are a special case of NURBS. The properties typical of NURBS are discussed without dwelling on properties already present in polynomial curves. Conic sections and their representations using rational Bezier curves are reviewed. Cubic NURB curves, geometrical rational splines, rational and B-spline surfaces, and rational Bezier triangles are discussed.<>
Keywords
computational geometry; solid modelling; splines (mathematics); geometric features; geometrical rational splines; nonuniform rational B-splines; rational Bezier curves; rational Bezier triangles; surface representations; Application software; CADCAM; Computer aided manufacturing; Computer graphics; Design automation; Polynomials; Spline; Surface reconstruction; Surface topography; Tutorial;
fLanguage
English
Journal_Title
Computer Graphics and Applications, IEEE
Publisher
ieee
ISSN
0272-1716
Type
jour
DOI
10.1109/38.156017
Filename
156017
Link To Document