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.

中文翻译：

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基于 Ricci Flow 的球面参数化和表面配准。


本文提出了一种改进的球面参数化欧氏里奇流方法。随后，我们发明了一种基于 Ricci 能量的尺度空间处理，以提取稳健的表面特征，以实现精确的表面配准。由于我们的方法基于所提出的欧几里德里奇流，因此它继承了里奇流的共形性、鲁棒性和内在性等属性，有助于高效且有效的表面映射。与其他使用曲率或脑沟图案的表面配准方法相比，我们的方法在表面配准方面表现出显着的改进。此外，如实验和应用所示，Ricci 能量可以捕获表面分析的局部差异。