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Related Experiment Videos

Interpolation over arbitrary topology meshes using a two-phase subdivision scheme.

Jianmin Zheng1, Yiyu Cai

  • 1School of Computer Engineering, Nanyang Technological University, Singapore. asjmzheng@ntu.edu.sg

IEEE Transactions on Visualization and Computer Graphics
|April 28, 2006
PubMed
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This study introduces a novel two-phase method for creating smooth surfaces from complex meshes. The technique ensures stable, efficient interpolation with local shape control, ideal for interactive design.

Area of Science:

  • Computer Graphics
  • Geometric Modeling
  • Computational Geometry

Background:

  • Constructing smooth surfaces from discrete data is crucial for various graphics applications.
  • Existing methods often struggle with meshes of arbitrary topology or require complex computations.

Purpose of the Study:

  • To develop a robust and efficient method for creating interpolating smooth surfaces from meshes with arbitrary topology.
  • To enable local shape control and tangent plane constraints during surface interpolation.

Main Methods:

  • A two-phase approach involving topological modification of the control mesh.
  • Application of Catmull-Clark subdivision for surface smoothing and interpolation.
  • Integration of scalar shape handles for local control and tangent plane constraints.

Related Experiment Videos

Main Results:

  • The method successfully generates smooth interpolating surfaces for meshes of arbitrary topology.
  • Numerical stability and guaranteed convergence are achieved without solving linear systems.
  • The computational complexity is linear, O(K), where K is the number of vertices.

Conclusions:

  • The presented method offers a simple, efficient, and stable solution for smooth surface interpolation.
  • Its features make it highly suitable for interactive free-form shape design applications.
  • The technique addresses limitations of previous methods in handling arbitrary mesh topologies.