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图学学报 ›› 2021, Vol. 42 ›› Issue (4): 623-628.DOI: 10.11996/JG.j.2095-302X.2021040623

• 计算机图形学与虚拟现实 • 上一篇    下一篇

基于小波技术的曲面边界光顺及简化算法

  

  1. 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
  • 出版日期:2021-08-31 发布日期:2021-08-05
  • 基金资助:
    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)

Surface boundary shape curve fairing and simplification based on#br# wavelet decomposition

  1. 1. School of Mechanical Engineering & Automation, Beihang University, Beijing 100191, China;
    2. State Key Laboratory of Virtual Reality Technology & Systems, Beihang University, Beijing 100191, China
  • Online:2021-08-31 Published:2021-08-05
  • Supported by:
    National Natural Science Foundation of China (61572056); The Open Project Program of the State Key Lab of CAD & CG, Zhejiang
    University (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。

关键词: B 样条, 小波分解, 曲面边界, 光顺及简化

Abstract: 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.

Key words: B-spline, wavelet decomposition, boundary shape curve, fairing and simplification

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