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

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