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Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules
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Published on: July 25, 2013

Efficient optimization of common base domains for cross parameterization.

Tsz-Ho Kwok1, Yunbo Zhang, Charlie C L Wang

  • 1Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong, China. thkwok@mae.cuhk.edu.hk

IEEE Transactions on Visualization and Computer Graphics
|June 22, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces an efficient algorithm to optimize cross parameterization by minimizing distortion. It utilizes a new Length-Preserved Base Domain (LPBD) signature for accurate and fast surface patch stretch measurement.

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Area of Science:

  • Computer Graphics
  • Computational Geometry
  • Geometric Modeling

Background:

  • Cross parameterization establishes bijective mappings between similar models using anchor points.
  • Existing methods can suffer from distortion in the resulting mappings.
  • Optimization is needed to improve the quality of these mappings.

Purpose of the Study:

  • To develop an efficient algorithm for optimizing common base domains in cross parameterization.
  • To reduce distortion in bijective mappings constrained by anchor points.
  • To introduce and evaluate a novel signature for measuring surface patch distortion.

Main Methods:

  • An efficient algorithm is proposed to optimize complexes and shapes of common base domains.
  • A new signature, Length-Preserved Base Domain (LPBD), is investigated for measuring surface patch stretch.
  • Domain optimization employs boundary swapping and patch merging operators, guided by LPBD-based metrics.

Main Results:

  • The Length-Preserved Base Domain (LPBD) signature offers a balance between measurement accuracy and computational speed.
  • The proposed domain optimization algorithm effectively reduces distortion in cross parameterization.
  • Experimental results validate the efficiency of the optimization approach.

Conclusions:

  • The developed algorithm successfully optimizes cross parameterization by minimizing distortion.
  • The LPBD signature provides a valuable tool for assessing and controlling surface patch distortion.
  • This work contributes to more accurate and efficient bijective mappings in geometric modeling.