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Geometric texturing using level sets.

Anders Brodersen1, Ken Museth, Serban Porumbescu

  • 1Department of Computer Science, University of Aarhus N, Denmark. rip@daimi.au.dk

IEEE Transactions on Visualization and Computer Graphics
|January 15, 2008
PubMed
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This study introduces novel methods for applying geometric textures to surfaces using level sets, achieving smooth blending and low distortion for detailed 3D models.

Area of Science:

  • Computer Graphics
  • Geometric Modeling
  • Computational Geometry

Background:

  • Applying fine-scale geometric detail to 3D surfaces is crucial for realistic rendering.
  • Existing methods often struggle with topological connectivity, smooth blending, and distortion.
  • Level set representations offer advantages for complex surface modeling.

Purpose of the Study:

  • To develop robust techniques for warping and blending geometric textures onto surfaces represented by high-resolution level sets.
  • To enable the creation of topologically connected surfaces with smooth transitions and minimal distortion.
  • To offer two distinct solutions for incorporating detailed geometric textures.

Main Methods:

  • Utilizing level set representations for both base surfaces and geometric textures.

Related Experiment Videos

  • Employing mesh-to-level-set scan conversion for base surface representation.
  • Parameterizing the embedding space of the base level set surface via fast particle advection.
  • Warping explicit polygonal mesh textures or blending implicit level set textures.
  • Main Results:

    • Achieved topologically connected surfaces with smooth blending and low distortion.
    • Demonstrated the ability to warp explicit texture meshes at nearly interactive speeds.
    • Produced high-quality surfaces with seamless texture transitions using level set blending.
    • Successfully added fine-scale geometric detail to surfaces represented by level sets.

    Conclusions:

    • The presented techniques effectively address the challenges of applying geometric textures to level set surfaces.
    • The methods allow for high-quality surface detailing with improved connectivity and visual smoothness.
    • This work advances the state-of-the-art in geometric texture application for 3D surface modeling.