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Proceedings Paper

Curvature continuous cubic algebraic splines
Author(s): Marco Paluszny; Richard R. Patterson
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Paper Abstract

It is shown how to construct G2-continuous spline with arcs of cubics. Each arc is a piece of the oval of a cubic and it is controlled locally by a triangle tangent to the arc at both endpoints. Formulas for mixed interpolation of further points and tangents are given in terms of geometrically meaningful shape parameters. It is shown that under certain restrictions, the numerical values of the curvatures may be prescribed at the joints. Some new shape handles are developed for the local control of each arc of the spline. Intersection problems are easily handled. The main advantage of algebraic splines is that they are completely parametrization free.

Paper Details

Date Published: 1 November 1992
PDF: 10 pages
Proc. SPIE 1830, Curves and Surfaces in Computer Vision and Graphics III, (1 November 1992); doi: 10.1117/12.131732
Show Author Affiliations
Marco Paluszny, Univ. Central de Venezuela (Venezuela)
Richard R. Patterson, Indiana Univ. and Purdue Univ./Indianapolis (United States)


Published in SPIE Proceedings Vol. 1830:
Curves and Surfaces in Computer Vision and Graphics III
Joe D. Warren, Editor(s)

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