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基于边界采样的插值Catmull-Clark细分曲面造型 被引量:3

Interpolating Catmull-Clark Subdivision Surface Modeling Based on Boundary Sampling
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摘要 提出了基于边界采样的插值CatmullClark细分曲面造型方法。首先简单介绍了CatmullClark细分规则;为了满足插值边界要求,提出了一种边界采样技术;最后介绍了插值CatmullClark细分方法,并通过实例验证了该方法的有效性和可行性。该方法对丰富细分曲面造型技术,推广其曲面造型中的应用起到一定作用。 Based on the advantages of subdivision surface modeling and the importance of interpolating boundary curves in engineering surface, a new interpolating Catmull-clark subdivision by boundary sampling is proposed in this paper. First, Catmull-Clark subdivision scheme is introduced simply, and then in order to satisfy boundary condition, boundary sampling is proposed. At last the algorithm of interpolating Catmull-Clark subdivision is discussed detailedly. The feasibility and effectiveness of the algorithm is validated through an example.
作者 梁伟文 戴珏
出处 《机电工程》 CAS 2005年第3期48-50,共3页 Journal of Mechanical & Electrical Engineering
基金 深圳市科技局资助项目(03KJA034)。
关键词 边界采样 细分曲面 插值 曲面造型 造型技术 规则 实例验证 推广 丰富 subdivision surface catmull-clark subdivision boundary sampling interpolating
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参考文献6

  • 1Adi Levin. Filling an N-sided hole using combined subdivision schemes [A]. Albert Cohen ed. in proceedings of Curves & Surfaces[C] July, 1999. 300 - 308.
  • 2Adi Levin. Combined subdivision schemes. The Raymond and Beverly Sackler Faculty of Exact Sciences,2000.
  • 3Ahmad H. Nasria, A. Abbas. Designing Catmull-Clark subdivision surfaces with curve interpolation constraints[ J ]. Computers & Graphics,2002 ( 6 ) :393 - 400.
  • 4Henning Biermann, Adi Levin, and Denis Zorin. Piecewise smooth subdivision surfaces with normal control[M]. In Computer Graphics Proceedings, ACM SIGGRAPH ,2000 : 113 - 120.
  • 5Mark Halstead. Efficient, fair interpolation using Catmull-Clark surfaces [M]. In Computer Graphics Proceedings,Annual Conference Series, ACM SIGGRAPH, 1993.35 - 44.
  • 6Ahmad H. Nasria, A. Abbas, Designing Catmull-Clark subdivision surfaces with curve interpolation constraints[J]. Computers & Graphics ,2002 (6) :393 - 400.

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