Shape-preserving interpolating subdivision

Alain Le Mehaute; Florencio I. Utreras

doi:10.1117/12.19734

1 August 1990 Shape-preserving interpolating subdivision

Alain Le Mehaute, Florencio I. Utreras

Proceedings Volume 1251, Curves and Surfaces in Computer Vision and Graphics; (1990) https://doi.org/10.1117/12.19734
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States

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.

Citation Download Citation

Alain Le Mehaute and Florencio I. Utreras "Shape-preserving interpolating subdivision", Proc. SPIE 1251, Curves and Surfaces in Computer Vision and Graphics, (1 August 1990); https://doi.org/10.1117/12.19734

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