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2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops
3D face matching and registration based on hyperbolic Ricci flow
Anchorage, AK, USA
June 23-June 28
ISBN: 978-1-4244-2339-2
Wei Zeng, Institute of Computing Technology, Chinese Academy of Sciences, China
Xiaotian Yin, Computer Science Department, Stony Brook University, NY USA
Yun Zeng, Computer Science Department, Stony Brook University, NY USA
Yukun Lai, Computer Science Department, Stony Brook University, NY USA
Xianfeng Gu, Computer Science Department, Stony Brook University, NY USA
Dimitris Samaras, Computer Science Department, Stony Brook University, NY USA
3D surface matching is fundamental for shape analysis. As a powerful method in geometric analysis, Ricci flow can flexibly design metrics by prescribed target curvature. In this paper we describe a novel approach for matching surfaces with complicated topologies based on hyperbolic Ricci flow. For surfaces with negative Euler characteristics, such as a human face with holes (eye contours), the canonical hyperbolic metric is conformal to the original and can be efficiently computed. Then the surface can be canonically decomposed to hyperbolic hexagons. By matching the corresponding hyperbolic hexagons, the matching be tween surfaces can be easily established. Compared to existing methods, hyperbolic Ricci flow induces diffeomorphisms between surfaces with complicated topologies with negative Euler characteristics, while avoiding singularities. Furthermore, all the boundaries are intrinsically mapped to hyperbolic lines as alignment constraints. Finally, we demonstrate the applicability of this intrinsic shape representation for 3D face matching and registration.
Citation:
Wei Zeng, Xiaotian Yin, Yun Zeng, Yukun Lai, Xianfeng Gu, Dimitris Samaras, "3D face matching and registration based on hyperbolic Ricci flow," cvprw, pp.1-8, 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, 2008
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