title: Ricci Flow-based Spherical Parameterization and Surface Registration.
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.
authors.affiliation: State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China, 100090.
authors.forename: X
authors.initials: X
authors.lastname: Chen
authors.forename: H
authors.initials: H
authors.lastname: He
authors.forename: G
authors.initials: G
authors.lastname: Zou
authors.forename: X
authors.initials: X
authors.lastname: Zhang
authors.forename: X
authors.initials: X
authors.lastname: Gu
authors.forename: J
authors.initials: J
authors.lastname: Hua
keywords: Discrete Ricci flow; surface; surface parameterization
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