A class of general quartic spline curves with shape parameters

被引：41
作者：
Han, Xuli [1 ]
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2011年 / 28卷 / 03期
基金：
中国国家自然科学基金;
关键词：
B-spline curve; Interpolation curve; Shape parameter; Geometric continuity; TRIGONOMETRIC POLYNOMIAL CURVES; BETA-SPLINES; CONSTRUCTION; TENSION;
D O I：
10.1016/j.cagd.2011.02.001
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
With a support on four consecutive subintervals, a class of general quartic splines are presented for a non-uniform knot vector. The splines have C(2) continuity at simple knots and include the cubic non-uniform B-spline as a special case. Based on the given splines, piecewise quartic spline curves with three local shape parameters are given. The given spline curves can be C(2) boolean AND G(3) continuous by fixing some values of the curve's parameters. Without solving a linear system, the spline curves can also be used to interpolate sets of points with C(2) continuity. The effects of varying the three shape parameters on the shape of the quartic spline curves are determined and illustrated. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：151 / 163
页数：13
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