Ricci flow-based spherical parameterization and surface registration |
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Authors: | X. Chen H. He G. Zou X. Zhang X. Gu J. Hua |
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Affiliation: | 1. E.O. Paton Electric Welding Institute, NASU, Bozhenko 11, Kyiv 03650, Ukraine;2. N.N. Semenov Institute of Chemical Physics, RAS, Kosygina 4, Moscow 117977, Russia;3. Belgorod State Research University, Pobeda 85, Belgorod 308015, Russia |
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Abstract: | This paper presents an improved Euclidean Ricci flow method for spherical parameterization. We subsequently invent a scale space processing built upon Ricci energy to extract robust surface features for accurate surface registration. Since our method is based on the proposed Euclidean Ricci flow, it inherits the properties of Ricci flow such as conformality, robustness and intrinsicalness, facilitating efficient and effective surface mapping. Compared with other surface registration methods using curvature or sulci pattern, our method demonstrates a significant improvement for surface registration. In addition, Ricci energy can capture local differences for surface analysis as shown in the experiments and applications. |
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Keywords: | Discrete Ricci flow Surface parameterization Surface registration Scale space |
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