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Dual Poisson-Disk Tiling: an efficient method for distributing features on arbitrary surfaces.

Hongwei Li1, Kui-Yip Lo, Man-Kang Leung

  • 1Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong. lihw@cse.ust.hk

IEEE Transactions on Visualization and Computer Graphics
|July 5, 2008
PubMed
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This study presents a novel surface modeling method using Dual Poisson-Disk Tiling to stochastically distribute features on any surface, ensuring minimum separation and avoiding overlap for interactive editing and efficient redistribution.

Area of Science:

  • Computer Graphics
  • Geometric Modeling
  • Computational Geometry

Background:

  • Stochastic feature distribution on surfaces is crucial for realistic modeling.
  • Existing methods often struggle with arbitrary topologies and feature overlap.
  • Ensuring minimum feature separation is a persistent challenge.

Purpose of the Study:

  • To introduce a novel surface-modeling method for stochastic feature distribution.
  • To guarantee minimum separation between distributed features, preventing overlap.
  • To enable interactive editing and efficient redistribution of surface features.

Main Methods:

  • The core mechanism is the Dual Poisson-Disk Tiling scheme.
  • This involves computing the dual of a surface parameterization and tiling it with custom dual tiles.

Related Experiment Videos

  • Poisson disk distributions are pre-generated on these tiles for efficient processing.
  • Main Results:

    • The method successfully distributes features stochastically on arbitrary topological surfaces.
    • It guarantees minimum separation between features, avoiding overlap.
    • The Dual Poisson-Disk Tiling scheme effectively handles corner heterogeneity and reduces tile set complexity.

    Conclusions:

    • The proposed method offers an efficient and robust solution for surface feature distribution.
    • It enables interactive control and redistribution of features, enhancing usability.
    • The technique demonstrates broad applicability in various surface modeling applications.