Title :
Geometric continuity of parametric curves: three equivalent characterizations
Author :
Barsky, Brian A. ; DeRose, Tony D.
Author_Institution :
Comput. Graphics Lab., California Univ., Berkeley, CA, USA
Abstract :
Some of the important basic results on geometric continuity of curves are presented in a self-contained manner. The paper covers parametric representation and smoothness, parametric continuity, reparameterization and equivalent parameterization, beta-constraints, and arc-length parameterization.<>
Keywords :
computational geometry; curve fitting; arc-length parameterization; beta-constraints; equivalent parameterization; geometric continuity; parametric continuity; parametric curves; reparameterization; smoothness; Application software; Computer graphics; Design automation; Equations; Shape control; Spline; Sufficient conditions;
Journal_Title :
Computer Graphics and Applications, IEEE
