| 基于小波技术的曲面边界光顺及简化算法 |
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| 作者姓名： | 何 川 赵 罡 王爱增 |
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| 作者单位： | 北京航空航天大学机械工程及自动化学院,北京 100191;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 |
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| 基金项目： | 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) |
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| 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。
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| 关 键 词： | B样条 小波分解 曲面边界 光顺及简化 |
Surface boundary shape curve fairing and simplification based on#br#
wavelet decomposition |
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| Authors: | HE Chuan ZHAO Gang WANG Ai-zeng |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | B-spline wavelet decomposition boundary shape curve fairing and simplification |
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