基于小波技术的曲面边界光顺及简化算法  

Surface boundary shape curve fairing and simplification based on wavelet decomposition

作　　者：何川 赵罡[1,2] 王爱增[1,2] HE Chuan;ZHAO Gang;WANG Ai-zeng(School of Mechanical Engineering&Automation,Beihang University,Beijing 100191,China;State Key Laboratory of Virtual Reality Technology&Systems,Beihang University,Beijing 100191,China)

机构地区：[1]北京航空航天大学机械工程及自动化学院,北京100191 [2]北京航空航天大学虚拟现实技术与系统国家重点实验室,北京100191

出　　处：《图学学报》2021年第4期623-628,共6页Journal of Graphics

基　　金：国家自然科学基金项目(61572056);浙江大学CAD&CG国家重点实验室开放课题(A2024)。

摘　　要：与传统造型方法相比,T样条曲面具有曲面拼接、局部加细、数据简化等特点。基于T样条曲面的非矩形拓扑结构及B样条小波的滤波优势,提出了一种曲面边界光顺及简化算法。与传统方法相比,该算法基于非均匀B样条小波分解,对选定的曲面边界进行光顺,并利用T样条技术减少冗余控制点。最后,给出具体实例以验证算法的有效性和实用性。This paper proposed an algorithm for boundary shape curve fairing and simplification.Compared with the previous methods,the selected boundary shape curve was faired with non-uniform B-spline wavelets by the new approach without superfluous control points,because T-mesh can be allowed in the result surface.Some examples were also presented in this paper to demonstrate the effectiveness of the new algorithm.

关 键 词：B样条 小波分解 曲面边界 光顺及简化 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]