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Related Experiment Videos

Wavelet-based multiresolution analysis of irregular surface meshes.

Sébastien Valette1, Rémy Prost

  • 1CREATIS, INSA Batiment B. Pascal, 69621 Villeurbanne CEDEX, France. sebastien.valette@creatis.insa-lyon.fr

IEEE Transactions on Visualization and Computer Graphics
|September 24, 2004
PubMed
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This study introduces a new wavelet-based method for simplifying 3D triangular meshes directly on irregular data. This approach preserves mesh connectivity and geometry, avoiding errors in Computer-Assisted Design and simulations.

Area of Science:

  • Computer Graphics
  • Geometric Modeling
  • Wavelet Theory

Background:

  • Existing multiresolution analysis for 3D meshes is limited to regular structures, necessitating remeshing.
  • Remeshing can alter mesh connectivity and geometry, causing issues in Computer-Assisted Design (CAD) and simulations.
  • Irregular meshes are common in CAD and simulations, often carrying important attributes like texture and color.

Purpose of the Study:

  • To extend wavelet-based multiresolution analysis to irregular 3D triangular meshes.
  • To develop an algorithm that operates directly on existing irregular meshes without remeshing.
  • To preserve the original mesh's connectivity and geometric integrity during simplification.

Main Methods:

  • A novel irregular subdivision scheme is proposed for wavelet-based multiresolution analysis.

Related Experiment Videos

  • The algorithm addresses an inverse problem to enable simplification on irregular meshes.
  • Simplification is performed at each resolution level, prioritizing regularity and geometric fidelity.
  • A geometric criterion is employed to ensure approximations remain close to the original mesh.

    • Main Results:

    • The proposed algorithm successfully simplifies irregular 3D triangular meshes.
    • It maintains the original mesh's connectivity and geometric properties.
    • The method proves efficient across various reference meshes, demonstrating its practical applicability.
    • It avoids potential simulation errors associated with remeshing.

    Conclusions:

    • The developed irregular subdivision scheme effectively extends multiresolution analysis to irregular 3D meshes.
    • The algorithm offers a valuable tool for applications in CAD and simulations where mesh integrity is crucial.
    • This method provides a direct and efficient way to simplify complex 3D models without data loss or alteration.