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
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;
Journal_Title :
Computer Graphics and Applications, IEEE
