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Interactive tensor field design and visualization on surfaces.

Eugene Zhang1, James Hays, Greg Turk

  • 1School of Electrical Engineering and Computer Science, Oregon State University, 2111 Kelley Engineering Center, Corvallis, OR 97331, USA. zhange@eecs.oregonstate.edu

IEEE Transactions on Visualization and Computer Graphics
|November 10, 2006
PubMed
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This study introduces an interactive system for designing symmetric tensor fields on 3D surfaces. The system helps users manage degenerate points, improving applications like painterly rendering and surface remeshing.

Area of Science:

  • Computer Graphics
  • Geometric Modeling
  • Scientific Visualization

Background:

  • Designing tensor fields is crucial for graphics applications like rendering and remeshing.
  • Existing methods lack interactive control over tensor field design on surfaces.
  • Degenerate points in tensor fields can cause artifacts and are difficult to manage.

Purpose of the Study:

  • To present an interactive system for designing symmetric tensor fields on 3D surfaces.
  • To provide users with control over degenerate points in tensor fields.
  • To enable effective visualization and manipulation of tensor fields for graphics applications.

Main Methods:

  • Developed an interactive design system for symmetric tensor fields on 3D surfaces.
  • Converted user specifications into basis tensor fields and combined them with input fields.

Related Experiment Videos

  • Implemented operations for moving or canceling degenerate points based on vector field singularity analogies.
  • Adapted image-based flow visualization for interactive tensor field display on surfaces.

    • Main Results:

    • The system allows users to create diverse symmetric tensor fields from scratch or by modifying existing ones.
    • Users can effectively control the number and location of degenerate points.
    • Interactive visualization of tensor fields on surfaces is achieved.
    • Demonstrated applications in painterly rendering, pen-and-ink sketching, and anisotropic remeshing.

    Conclusions:

    • The presented system offers intuitive control over tensor field design on 3D surfaces.
    • Managing degenerate points is crucial for artifact reduction and application success.
    • The system enhances capabilities in various computer graphics and geometric modeling tasks.