摘要
创新点
通过拟合离散数据构造 B 样条曲面的方法在 CAD 领域中广泛应用。 本文提出一种使用层次化结构的多张 B 样条曲面拟合网格模型的方法。 对于较难使用一张 B 样条曲面进行拟合的网格模型,我们将其拆分为多张子网格,子网格组成层次化树状结构。然后对于每张子网格, 使用一张 B 样条曲面进行拟合。 本文算法对于一些经典的网格模型输入有较好的拟合结果。
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References
Forsey D R, Bartels R H. Hierarchical B-spline refinement. ACM SIGGRAPH Comput Graph 1988, 22: 205–212
Lai Y K, Hu S M, Pottmann H. Surface fitting based on a feature sensitive parametrization. Comput-Aided Design, 2006, 38: 800–807
Bo P, Ling R, Wang W. A revisit to fitting parametric surfaces to point clouds. Comput Graph, 2012, 36: 534–540
Eck M, Hoppe H. Automatic reconstruction of Bspline surfaces of arbitrary topological type. In: Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques. New York: ACM, 1996. 325–334
Yoshihara H, Yoshii T, Shibutani T, et al. Topologically robust B-spline surface reconstruction from point clouds using level set methods and iterative geometric fitting algorithms. Comput Aided Geom Design, 2012, 29: 422–434
Kharevych L, Springborn B, Schröder P. Discrete conformal mappings via circle patterns. ACM Trans Graph, 2006, 25: 412–438
Toussaint G T. Solving geometric problems with the rotating calipers. Proc IEEE Melecon, 1983, 83: A10
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The authors declare that they have no conflict of interest.
