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Efficient volume preserving approach for skeleton-based implicit surfaces.

Hong-bin Shi1, Ruo-feng Tong, Jin-xiang Dong

  • 1State Key Laboratory of CAD & CG, Institute of Artificial Intelligence, Department of Computer Science and Engineering, Zhejiang University, Hangzhou 310027, China.

Journal of Zhejiang University. Science
|October 21, 2003
PubMed
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This study introduces an efficient method for calculating the volume of implicit surfaces generated by skeletons. The new approach improves both speed and accuracy compared to existing techniques.

Area of Science:

  • Computer Graphics
  • Geometric Modeling
  • Computational Geometry

Background:

  • Implicit surfaces are widely used in computer graphics and geometric modeling.
  • Accurate volume preservation of these surfaces, especially those generated by skeletons, is computationally challenging.
  • Existing methods for volume calculation often suffer from speed or accuracy limitations.

Purpose of the Study:

  • To develop an efficient and accurate method for preserving the volume of implicit surfaces generated by skeletons.
  • To improve the computational performance and precision of volume calculations for skeletal implicit surfaces.

Main Methods:

  • Utilizing recursive subdivision for efficient volume calculation.
  • Deriving a subdivision criterion based on density function properties.

Related Experiment Videos

  • Calculating accurate minimum and maximum distances from a cube to a skeleton, tailored to different skeleton types.

    • Main Results:

    • The proposed method demonstrates significant improvements in both speed and accuracy over traditional approaches.
    • The criterion for recursive subdivision effectively refines the volume calculation process.
    • Accurate distance calculations enhance the overall fidelity of the volume preservation.

    Conclusions:

    • The developed technique offers a superior solution for computing the volume of skeletal implicit surfaces.
    • This efficient and accurate method has the potential to advance applications in geometric modeling and computer graphics.
    • The approach provides a robust alternative to Interval Analysis, Affine Arithmetic, and Lipschitz conditions for this specific problem.