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Physically
Based Morphing of Point-Sampled Surfaces |
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| Project Members |
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Yunfan
Bao, Xiaohu
Guo, Hong
Qin |
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Center
for Visual Computing
Department of Computer
Science
State University of New
York at Stony Brook |
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| Abstract: |
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| This paper presents an innovative
method for naturally and smoothly morphing pointsampled 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. |
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| Keywords:
physically
based animation, dynamic shape modeling, morphing, meshless method,
point-based geometry |
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