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Ricci flow is a powerful curvature flow method, which is invariant to rigid motion, scaling, isometric, and conformal deformations. We present the first application of surface Ricci flow in computer vision. Previous methods based on conformal geometry, which only handle 3D shapes with simple topology, are subsumed by the Ricci flow-based method, which handles surfaces with arbitrary topology. We present...
Recently, various conformal geometric methods have been presented for non-rigid surface matching and registration. This work proposes to improve the robustness of conformal geometric methods to the boundaries by incorporating the symmetric information of the input surface. We presented two symmetric conformal mapping methods, which are based on solving Riemann-Cauchy equation and curvature flow respectively...
Video-based information collection has become an important research direction, and moving object tracking technique plays a key role nowadays. The classic corner tracking algorithm doesnpsilat meet the real-time requirement, and loses the object mostly due to occlusions, the change of geometrical scale or/and some similar objects approaching to the object. To solve the problems, a new algorithm based...
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...
This paper presents a new stereo matching algorithm to compute dense disparity map for virtual view synthesis. The reference view is segmented using mean-shift segmentation method. An adaptive support-weights window-based approach is adopted to obtain the initial disparity map per pixel. We utilize cross-checking technique to filter out reliable correspondences and detect occlusion regions. The disparity...
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