DocumentCode
819423
Title
Geometric continuity of parametric curves: constructions of geometrically continuous splines
Author
Barsky, Brian A. ; DeRose, Tony D.
Author_Institution
Berkeley Comput. Graphics Lab., California Univ., Berkeley, CA, USA
Volume
10
Issue
1
fYear
1990
Firstpage
60
Lastpage
68
Abstract
Some observations are made concerning the source and nature of shape parameters. It is then described how Bezier curve segments can be stitched together with G/sup 1/ or G/sup 2/ continuity, using geometric constructions. These constructions lead to the development of geometric constructions for quadratic G/sup 1/ and cubic G/sup 2/ Beta-splines. A geometrically continuous subclass of Catmull-Rom splines based on geometric continuity and possessing shape parameters is discussed.<>
Keywords
computational geometry; computer graphics; curve fitting; splines (mathematics); Beta-splines; Bezier curve segments; Catmull-Rom splines; geometric continuity; geometrically continuous splines; parametric curves; shape parameters; Application software; Computer graphics; Equations; Shape control;
fLanguage
English
Journal_Title
Computer Graphics and Applications, IEEE
Publisher
ieee
ISSN
0272-1716
Type
jour
DOI
10.1109/38.45811
Filename
45811
Link To Document