Non-uniform interpolatory subdivision surface

作者：Li, Xin^*; Chang, Yubo

来源：Applied Mathematics and Computation, 2018, 324: 239-253.

DOI：10.1016/j.amc.2017.11.035

• Subdivision
• Interpolatory subdivision
• Centripetal parametrization
• Chordal parametrization

This paper presents an interpolatory subdivision scheme with non-uniform parametrization for arbitrary polygon meshes with arbitrary manifold topology. This is the first attempt to generalize the non-uniform four point interpolatory curve subdivision to surface with extraordinary points. The scheme is constructed from the inspiration of the relation between the non-uniform four-point interpolatory subdivision scheme and the nonuniform B-spline refinement rule. Numerical examples and comparisons with the uniform interpolatory subdivision schemes indicate that the quality of the limit surface can be improved by using non-uniform parameter values for non-uniform initial data.

• 出版日期2018-5-1
• 单位中国科学技术大学