Wang Junping, Yu Hongjie, Wu Hongyi. Total Positivity of Said-Bézier Type Generalized Ball BasesJ. Journal of Computer-Aided Design & Computer Graphics, 2005, 17(6): 1186-1190.
Citation:
Wang Junping, Yu Hongjie, Wu Hongyi. Total Positivity of Said-Bézier Type Generalized Ball BasesJ. Journal of Computer-Aided Design & Computer Graphics, 2005, 17(6): 1186-1190.
Wang Junping, Yu Hongjie, Wu Hongyi. Total Positivity of Said-Bézier Type Generalized Ball BasesJ. Journal of Computer-Aided Design & Computer Graphics, 2005, 17(6): 1186-1190.
Citation:
Wang Junping, Yu Hongjie, Wu Hongyi. Total Positivity of Said-Bézier Type Generalized Ball BasesJ. Journal of Computer-Aided Design & Computer Graphics, 2005, 17(6): 1186-1190.
Total Positivity of Said-Bézier Type Generalized Ball Bases
Shape preservation of parametric curves is associated with normalized total positivity of its basis functions. Using a corner-cutting algorithm, we prove that one family of the Said-Bézier type generalized Ball (SBGB) bases is normalized totally positive (NTP). An example shows that another family of the Wang-Said type generalized Ball (WSGB) bases is not TNP.
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