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一类可控制形状的C^2连续三次参数样条曲线
引用本文:潘日晶.一类可控制形状的C^2连续三次参数样条曲线[J].福建师范大学学报(自然科学版),1993,9(3):32-39.
作者姓名:潘日晶
作者单位:福建师范大学数学系
摘    要:本文取曲线段极值点的参数值和极大值作为控制曲线形状的参数,构造出一类可控制形状的C~2连续插值三次参数样条曲线,同时还给出了使插值曲线保凸或保形的充分条件。

关 键 词:参数样条曲线  保凸  保形  形状控制

A Kind of Shape-controlable C~2-continuous Cubic Parametric Spline Curves
Pan Rijing.A Kind of Shape-controlable C~2-continuous Cubic Parametric Spline Curves[J].Journal of Fujian Teachers University(Natural Science),1993,9(3):32-39.
Authors:Pan Rijing
Institution:Department of Mathematics
Abstract:In this paper, a new method of constructing a kind of shapc-controlable C~2-continuous interpolation cubic parametric spline curves is given. Furthermore the conditions under which the interpolation curves are shape preserving or convex preserving are alse given.
Keywords:parametric spline curve  C~2-continuous  convex preserving  shape preseruing  shape controlling
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