具有张力性质三次参数样条曲线的M-尺度细分

J4 ›› 2010, Vol. 48 ›› Issue (06): 907-913.

具有张力性质三次参数样条曲线的M-尺度细分

韩力文¹, 张婷婷¹, 解滨^1,2

1. 河北师范大学数学与信息科学学院, 石家庄 050016； 2. 河北师范大学信息技术学院, 石家庄 050016

收稿日期:2010-03-04 出版日期:2010-11-26 发布日期:2010-11-26
通讯作者: 解滨 E-mail:xiebin_hebtu@126.com

M-Band Subdivision of Cubic Parametric Splineswith Tension Properties

HAN Liwen¹, ZHANG Tingting¹, XIE Bin^1,2

1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China;
2. College of Information Technical, Hebei Normal University, Shijiazhuang 050016, China

Received:2010-03-04 Online:2010-11-26 Published:2010-11-26
Contact: XIE Bin E-mail:xiebin_hebtu@126.com

摘要/Abstract

摘要：

研究一类具有张力性质的三次样条曲线的可加细问题, 得到了其M-尺度加细方程, 所得结论涵盖了以往2-尺度加细的结果, 并进一步讨论了M-尺度加细层张力参数的求解、选取不同节点时细分面具的计算等问题, 得到了相应的细分规则. 介绍了3-尺度细分的计算过程, 并通过实例说明了其逼近优势.

关键词: 加细方程, 节点插入, M-尺度, 参数样条, 张力性质

Abstract:

The refinability of a kind of cubic parametric spline curves with tension properties was studied and their M-band refinement equations were obtained, which contain the existing 2-band case, and furthermore, the computation of refiner tension parameters and subdivision masks with different knots were discussed, and the subdivision rules were gained. The computation procedure of 3-band subdivision was introduced in detail and numerical examples were given to illustrate the advantages of approximation.

Key words: refinement equation, knotinsertion, M-band, parametric curves, tension properties

中图分类号:

O241.5

韩力文, 张婷婷, 解滨. 具有张力性质三次参数样条曲线的M-尺度细分[J]. J4, 2010, 48(06): 907-913.

HAN Li-Wen, ZHANG Ting-Ting, JIE Bin. M-Band Subdivision of Cubic Parametric Splineswith Tension Properties[J]. J4, 2010, 48(06): 907-913.