| 具有张力性质三次参数样条曲线的M-尺度细分 |
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| 引用本文： | 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].吉林大学学报(理学版),2010,48(6):907-913. |
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| 作者姓名： | 韩力文 张婷婷 解滨 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金 |
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| 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.
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| 关 键 词： | 加细方程 节点插入 M-尺度 参数样条 张力性质 |
| 收稿时间： | 2010-03-04 |
M-Band Subdivision of Cubic Parametric Splines with Tension Properties |
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| HAN Li-wen,ZHANG Ting-ting,XIE Bin.M-Band Subdivision of Cubic Parametric Splines with Tension Properties[J].Journal of Jilin University: Sci Ed,2010,48(6):907-913. |
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| Authors: | HAN Li-wen ZHANG Ting-ting XIE Bin |
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| Institution: | 1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China;
2. College of Information Technical, Hebei Normal University, Shijiazhuang 050016, China |
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| 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 differentknots 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. |
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| Keywords: | refinement equation knot insertion M-band parametric curves tension properties |
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