Ricci Flow for Shape Analysis and Surface Registration

2013 ◽  
Author(s):  
Wei Zeng ◽  
Xianfeng David Gu
Keyword(s):  
Shape Analysis ◽  
Ricci Flow ◽  
Surface Registration

scholarly journals Book Review: Ricci flow for shape analysis and surface registration: theories, algorithms and applications

2016 ◽  
Vol 54 (1) ◽  
pp. 141-150
Author(s):  
Bennett Chow ◽  
David Glickenstein ◽  
Feng Luo
Keyword(s):  
Shape Analysis ◽  
Ricci Flow ◽  
Surface Registration

Colon Surface Registration Using Ricci Flow

2013 ◽  
pp. 389-419 ◽  
Author(s):  
Wei Zeng ◽  
Rui Shi ◽  
Zhengyu Su ◽  
David Xianfeng Gu
Keyword(s):  
Ricci Flow ◽  
Surface Registration

Ricci Flow for 3D Shape Analysis

2007 ◽  
Author(s):  
Xianfeng Gu ◽  
Sen Wang ◽  
Junho Kim ◽  
Yun Zeng ◽  
Yang Wang ◽  
...  
Keyword(s):  
Shape Analysis ◽  
Ricci Flow ◽  
3D Shape ◽  
3D Shape Analysis

scholarly journals Diffeomorphic sulcal shape analysis for cortical surface registration

2010 ◽  
Author(s):  
Shantanu H. Joshi ◽  
Ryan P. Cabeen ◽  
Anand A. Joshi ◽  
Roger P. Woods ◽  
Katherine L. Narr ◽  
...  
Keyword(s):  
Shape Analysis ◽  
Surface Registration ◽  
Cortical Surface

Ricci Flow for 3D Shape Analysis

2010 ◽  
Vol 32 (4) ◽  
pp. 662-677 ◽  
Author(s):  
Wei Zeng ◽  
D. Samaras ◽  
D. Gu
Keyword(s):  
Shape Analysis ◽  
Ricci Flow ◽  
3D Shape ◽  
3D Shape Analysis

scholarly journals Shape analysis via inconsistent surface registration

2020 ◽  
Vol 476 (2242) ◽  
pp. 20200147
Author(s):  
Gary P. T. Choi ◽  
Di Qiu ◽  
Lok Ming Lui
Keyword(s):  
Shape Analysis ◽  
Degrees Of Freedom ◽  
Surface Registration ◽  
Point Of View ◽  
Shape Classification ◽  
Surface Mapping ◽  
Conformal Theory ◽  
Global Consistency ◽  
Shed Light ◽  
Natural Way

In this work, we develop a framework for shape analysis using inconsistent surface mapping. Traditional landmark-based geometric morphometr- ics methods suffer from the limited degrees of freedom, while most of the more advanced non-rigid surface mapping methods rely on a strong assumption of the global consistency of two surfaces. From a practical point of view, given two anatomical surfaces with prominent feature landmarks, it is more desirable to have a method that automatically detects the most relevant parts of the two surfaces and finds the optimal landmark-matching alignment between these parts, without assuming any global 1–1 correspondence between the two surfaces. Our method is capable of solving this problem using inconsistent surface registration based on quasi-conformal theory. It further enables us to quantify the dissimilarity of two shapes using quasi-conformal distortion and differences in mean and Gaussian curvatures, thereby providing a natural way for shape classification. Experiments on Platyrrhine molars demonstrate the effectiveness of our method and shed light on the interplay between function and shape in nature.

scholarly journals Ricci flow-based spherical parameterization and surface registration

2013 ◽  
Vol 117 (9) ◽  
pp. 1107-1118 ◽  
Author(s):  
X. Chen ◽  
H. He ◽  
G. Zou ◽  
X. Zhang ◽  
X. Gu ◽  
...  
Keyword(s):  
Ricci Flow ◽  
Surface Registration ◽  
Spherical Parameterization

3D CT Cephalometry of Plagiocephaly: Asymmetry and Shape Analysis

2005 ◽  
Author(s):  
David Netherway ◽  
Amanda Abbott ◽  
Nadim Gulamhuseinwala ◽  
Karen McGlaughlin ◽  
Peter Anderson ◽  
...  
Keyword(s):  
Shape Analysis ◽  
3D Ct
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