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1 August 1990 Shape-preserving interpolating subdivision
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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.
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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