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On Describing Curves-On-Surface |
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| Project Members |
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Xin Li,
Ying He,
Xianfeng Gu,
Hong Qin
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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In this project, we present a signature for any simple closed curve defined on the genus zero surface. The signature provides a classification for all such curves on surface, which means on one hand, any curve is described by its signature for the comparison purpose, one the other hand, the signature can be used to reconstruct its corresponding curve on the surface.
With their Weil-Petersson norms, our signatures provide a metric to numerically measure the difference between curves defined on a surface.
This can be extended to the comparison of curves defined on different surface, intuitively measuring how similarly they segment their embedded surfaces.
The curves signatures bring vast applications in temporal data or deformation series. For example, they can be used for automatic feature curves matching between two surfaces, also, feature curves transfer from one surface to another can be easily fulfilled by constructing feature curves on surface using precomputed signatures.
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Keywords:
Curve Descriptor, Surface Segmentation, Shape Analysis and Matching
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| Publication: |
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Xin Li, Ying He, Xianfeng Gu, Hong Qin, "
Curves-On-Surface: A General Shape Comparison Framework",
in Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006, Matsushima, Japan, pp 352-357.
[slides]
[paper]
[Longer version is coming]
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Xin Li, Ying He, Xianfeng Gu, Hong Qin, "
On Describing Curves-On-Surface",
in Preparation for IEEE Transactions on Visualization and Computer Graphics(TVCG).
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| Talk: |
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June 15, 2006 : presented on the IEEE International Conference on Shape Modeling and Applications 2006(SMI06), Matsushima, Japan.
[slides]
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