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Spectral
Surface Deformation |
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Project
Members |
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Guodong
Rong, Yan
Cao, Xiaohu Guo
University
of Texas at Dallas |
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Abstract: |
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In this project, we propose
a novel spectral method for surface deformation based on manifold
harmonics transform. The eigenfunctions of the Laplace¨CBeltrami
operator give orthogonal bases for parameterizing the space of
functions defined on the surfaces. The geometry and motion of
the original irregular meshes can be compactly encoded using the
low-frequency spectrum of the manifold harmonics. Using the spectral
method, the size of the linear/non-linear deformation system can
be significantly reduced to achieve interactive computational
speed for manipulating large triangle meshes. Our experimental
results demonstrate that only a small spectrum is needed to achieve
undistinguishable deformations for large triangle meshes. The
spectral mesh deformation approach shows great performance improvement
on computational speed over its spatial counterparts. |
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Keywords:
spectral
geometry analysis, manifold harmonics, surface deformation, interactive
manipulation |
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Screen
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Video:
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Publication: |
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- Guodong
Rong, Yan Cao, Xiaohu Guo, "Spectral
Mesh Deformation", in The Visual Computer
(CGI2008 Special Issue), Vol. 24, No. 7-9, pp. 787-796, 2008.
- Guodong
Rong, Yan Cao, Xiaohu Guo, "Spectral
Surface Deformation with Dual Mesh", in Proceedings
of the 21st International Conference on Computer Animation
and Social Agents (CASA2008), pp. 17-24, Seoul, Korea, September
2008.
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