Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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CURVATURE-WEIGHTED SURFACE SIMPLIFICATION ALGORITHM USING VERTEX-BASED GEOMETRIC FEATURES

  • CHOI, HAN-SOO (DEPARTMENT OF COMPUTATIONAL SCIENCE AND TECHNOLOGY, SEOUL NATIONAL UNIVERSITY) ;
  • GWON, DALHYEON (DEPARTMENT OF MATHEMATICAL SCIENCES, SEOUL NATIONAL UNIVERSITY) ;
  • HAN, HEEJAE (DEPARTMENT OF MATHEMATICAL SCIENCES, SEOUL NATIONAL UNIVERSITY) ;
  • KANG, MYUNGJOO (DEPARTMENT OF MATHEMATICAL SCIENCES, SEOUL NATIONAL UNIVERSITY)
  • Received : 2020.03.04
  • Accepted : 2020.03.10
  • Published : 2020.03.25
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Abstract

The quadratic error metric (QEM) algorithm has been frequently used for simplification of triangular surface models that utilize the vertex-pair algorithm. Simplified models obtained using such algorithms present the advantage of smaller storage capacity requirement compared to the original models. However, a number of cases exist where significant features are lost geometrically, and these features can generally be preserved by utilizing the advantages of the curvature-weighted algorithm. Based on the vertex-based geometric features, a method capable of preserving the geometric features better than the previous algorithms is proposed in this work. To validate the effectiveness of the proposed method, a simplification experiment is conducted using several models. The results of the experiment indicate that the geometrically important features are preserved well when a local feature is present and that the error is similar to those of the previous algorithms when no local features are present.

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References

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