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Proceedings Paper

Shape-preserving interpolating subdivision
Author(s): Alain Le Mehaute; Florencio I. Utreras
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Paper Abstract

We introduce a subdivision algorithm for shape preserving function interpolation in 111 and JR2 . The method is based on iterative knot insertion and guarantees preservation of convexity. Starting from data points, a sequence of piecewise linear function is generated. The sequence can be shown to be convergent to a C1 function. The process is specially suitted for curve and surface generation in CAGD since it is local and the computation can be stopped whenever the desired visual effect is attained.

Paper Details

Date Published: 1 August 1990
PDF: 8 pages
Proc. SPIE 1251, Curves and Surfaces in Computer Vision and Graphics, (1 August 1990); doi: 10.1117/12.19734
Show Author Affiliations
Alain Le Mehaute, Univ. de Lille (France)
Florencio I. Utreras, Univ. de Chile (Chile)

Published in SPIE Proceedings Vol. 1251:
Curves and Surfaces in Computer Vision and Graphics
Leonard A. Ferrari; Rui J. P. de Figueiredo, Editor(s)

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