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Physically based morphing of point-sampled surfaces: Animating Geometrical Models

Published: 01 July 2005 Publication History

Abstract

This paper presents an innovative method for naturally and smoothly morphing point-sampled surfaces via dynamic meshless simulation on point-sampled surfaces. While most existing literature on shape morphing emphasizes the issue of finding a good correspondence map between two object representations, this research primarily investigates the challenging problem of how to find a smooth, physically-meaningful transition path between two homeomorphic point-set surfaces. We analyze the deformation of surface involved in the morphing process using concepts in differential geometry and continuum mechanics. The morphing paths can be determined by optimizing an energy functional, which characterizes the intrinsic deformation of the surface away from its rest shape. As demonstrated in the examples, our method automatically produces a series of natural and physically-plausible in-between shapes, which greatly alleviates the shrinking, stretching, and self-intersection problems that often occur when linear interpolation is employed for the morphing of two objects. We envision that our new technique will continue to broaden the application scope of point-set surfaces and their dynamic animation. Copyright © 2005 John Wiley & Sons, Ltd.

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Published In

cover image Computer Animation and Virtual Worlds
Computer Animation and Virtual Worlds  Volume 16, Issue 3-4
CASA 2005
July 2005
372 pages
ISSN:1546-4261
EISSN:1546-427X
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John Wiley and Sons Ltd.

United Kingdom

Publication History

Published: 01 July 2005

Author Tags

  1. dynamic shape modeling
  2. meshless method
  3. morphing
  4. physically based animation
  5. point-based geometry

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  • (2016)Planar Shape Interpolation Based On Teichmüller MappingComputer Graphics Forum10.5555/3151666.315167235:7(43-56)Online publication date: 1-Oct-2016
  • (2013)Planar shape interpolation with bounded distortionACM Transactions on Graphics10.1145/2461912.246198332:4(1-12)Online publication date: 21-Jul-2013
  • (2011)Parallel shape transformation using slicesProceedings of the 10th WSEAS international conference on Software engineering, parallel and distributed systems10.5555/1959791.1959805(96-100)Online publication date: 20-Feb-2011
  • (2007)3D morphing using strain field interpolationJournal of Computer Science and Technology10.1007/s11390-007-9020-z22:1(147-155)Online publication date: 1-Jan-2007

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