C^n-CONTINUOUS B-TYPE SPLINE CURVES WITH ITS LOCALIZATION INTERPOLATION AND APPROXIMATION C n -continuous B-type spline curves with its localization interpolation and approximation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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C^n-CONTINUOUS B-TYPE SPLINE CURVES WITH ITS LOCALIZATION INTERPOLATION AND APPROXIMATION

摘要：
关键词：	C^n-连续 B-样条曲线局部性插值逼近
收稿时间：	31 January 2001
C n -continuous B-type spline curves with its localization interpolation and approximation

Authors:	Hongyi Wu

Institution:	(1) Dept. of Math., Hefei Polytechnic Univ., 230009 Hefei, China

Abstract:	This paper presents a class of C ⁿ-continuous B-type spline curves with some parametric factors. The length of their local support is equal to 4. Taking the different values of the parametric factors, the curves can become free-type curves or interpolate a set of given points even mix the both cases. When the parametric factors satisfy the certain conditions, the degrees of the curves can be decreased as low as possible. Besides, when all the parametric factors tend to zero, the curves globally approximate to the control polygon.

Keywords:	65D17
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