| 基于代数张量积B样条的隐式曲面重构 |
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| 引用本文： | 王秀友,汪继文,范建中,王峰. 基于代数张量积B样条的隐式曲面重构[J]. 计算机工程与设计, 2008, 29(14) |
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| 作者姓名： | 王秀友 汪继文 范建中 王峰 |
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| 作者单位： | 阜阳师范学院计算机系,安徽阜阳,236041;安徽大学计算机科学与技术学院,安徽合肥,230039 |
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| 基金项目： | 安徽省高校青年教师资助计划基金项目 , 阜阳师范学院自然科学研究基金项目 |
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| 摘 要： | 提出一种以代数张量积B-样条曲面作为几何表示形式的方式,采用Sampson距离来度量数据点与曲面之间的误差,它不仅是几何距离的很好近似且具有齐性和刚体不变的良好性质.建立了近似几何误差和薄板能量极小化的最优化隐式曲面重构模型.同时结合最优化理论中的信赖域思想和拟牛顿法,给出自适应的选代求解算法及其实现.理论上由信赖域法的收敛性分析,迭代算法具有总体收敛性.最后基于散乱点数据集,给出曲面重构的实例,并作简单的讨论.
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| 关 键 词： | 隐式曲面重构 几何误差 代数张量积B-样条 信赖域 拟牛顿法 |
Implicit surface reconstruction based on algebraic tensor-product B-spline |
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| WANG Xiu-you,WANG Ji-wen,FAN Jian-zhong,WANG Feng. Implicit surface reconstruction based on algebraic tensor-product B-spline[J]. Computer Engineering and Design, 2008, 29(14) |
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| Authors: | WANG Xiu-you WANG Ji-wen FAN Jian-zhong WANG Feng |
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| Affiliation: | WANG Xiu-you1,WANG Ji-wen2,FAN Jian-zhong1,WANG Feng1(1.Department of Computer,Fuyang Normal College,Fuyang 236041,China,2.School of Computer Science , Technology,Anhui University,Heifei 230039,China) |
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| Abstract: | An implicit surface reconstruction method is proposed which represents the surface with an algebraic tensor-product B-spline,and minimizes the tension of the B-spline and based on the Sampson error,which is a different approximation of geometric distance from the point set to the surface.The method is dynamic and self-adaptive based on trust-region algorithm and quasi-Newton method in optimization theory.According to the convergence analysis of the trust region algorithms,the iteration algorithm could reach... |
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| Keywords: | implicit surface reconstruction geometric error algebraic tensor-product B-spline trust region quasi-Newton method |
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