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Guoning Chen1, Vivek Kwatra, Li-Yi Wei

  • 1Scientific Computing and Imaging Institute, University of Utah, 72 S Central Campus Drive, Room 3750, Salt Lake City, UT 84112, USA. chengu@sci.utah.edu

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This study introduces a novel framework for designing time-varying vector fields, enabling dynamic effects in computer graphics. The system facilitates creation and modification for applications like animation and crowd simulation.

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Area of Science:

  • Computer Graphics
  • Computational Geometry
  • Scientific Visualization

Background:

  • Existing vector field design techniques are limited to static fields.
  • Time-varying vector fields are crucial for dynamic effects in computer graphics.

Purpose of the Study:

  • To present a comprehensive framework for designing time-varying vector fields.
  • To enable control over spatial and temporal characteristics of vector fields.
  • To support applications requiring dynamic visual effects.

Main Methods:

  • An element-based design integrating metaphors like streamlines and pathlines.
  • Generation via basis field summations or spatial constrained optimizations.
  • Key-frame design and field deformation using spatial-temporal optimization and time-varying transformations.

Main Results:

  • Successful generation of time-varying vector fields for planar domains and manifold surfaces.
  • Demonstrated application in evolving surface appearance, dynamic scene design, crowd movement, and painterly animation.
  • Enabled dynamic effects difficult or impossible with prior simulation-based methods.

Conclusions:

  • The proposed framework effectively generates time-varying vector fields for diverse computer graphics applications.
  • The system provides intuitive design metaphors for controlling dynamic effects.
  • This work advances the state-of-the-art in dynamic visual content creation.