| 近似保持约束的B样条曲线多分辨率表示 |
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| 引用本文： | 孙坚坡,潘日晶.近似保持约束的B样条曲线多分辨率表示[J].福建师范大学学报(自然科学版),2011,27(2):30-37. |
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| 作者姓名： | 孙坚坡 潘日晶 |
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| 作者单位： | 孙坚坡,SUN Jian-po(福建师范大学数学与计算机科学学院,福建,福州,350108);潘日晶,PAN Ri-jing(福建师范大学数学与计算机科学学院,福建,福州,350108;福建师范大学网络安全与密码技术重点实验室,福建,福州,350007) |
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| 基金项目： | 国家自然科学基金资助项目，福建省自然科学基金资助项目 |
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| 摘 要： | 利用双正交非均匀B样条小波,提出一种多分辨率表示B样条曲线并近似保持几何约束的方法.针对曲线小波分解过程中几何约束的保持问题,提出的算法分两步来解决:第一步在小波分解过程中有选择地删除节点;第二步在分解过程中结合能量法控制与几何约束有关部分的变化能量.最后给出实例验证了算法的有效性.
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| 关 键 词： | 非均匀B样条 几何约束 B样条小波 节点向量 多分辨率 |
Multiresolution Representation of B-spline Curves with Approximate Preservation of Constrains |
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| SUN Jian-po,PAN Ri-jing.Multiresolution Representation of B-spline Curves with Approximate Preservation of Constrains[J].Journal of Fujian Teachers University(Natural Science),2011,27(2):30-37. |
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| Authors: | SUN Jian-po PAN Ri-jing |
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| Institution: | SUN Jian-po1,PAN Ri-jing1,2(1.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350108,China,2.Key Lab of Network Security and Cryptography,Fuzhou 350007,China) |
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| Abstract: | A approach for multiresolution representation of nonuniform B-spline curves with approximate preservation of geometric constraints is proposed based on biothogonal nonuniform B-spline wavelets.Aimed at the problem of the preservation of geometric constraints in the wavelet decomposition to curves,two steps are utilized:firstly selective deletion of knot vectors,secondly control the changes in those associated with constrains part of the energy functional.Several examples are presented to illustrate the effe... |
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| Keywords: | nonuniform B-spline geometric constraints B-spline wavelets knot vectors multiresolution |
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