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05/30/2023
Intrinsic shape analysis in archaeology: A case study on ancient sundials
This paper explores a novel mathematical approach to extract archaeologi...
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03/30/2023
Sasaki Metric for Spline Models of Manifold-Valued Trajectories
We propose a generic spatiotemporal framework to analyze manifold-valued...
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12/09/2022
Predicting Shape Development: a Riemannian Method
Predicting the future development of an anatomical shape from a single b...
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07/26/2022
A Kendall Shape Space Approach to 3D Shape Estimation from 2D Landmarks
3D shapes provide substantially more information than 2D images. However...
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06/17/2022
ICLR 2022 Challenge for Computational Geometry and Topology: Design and Results
This paper presents the computational challenge on differential geometry...
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02/01/2022
A Nonlinear Hierarchical Model for Longitudinal Data on Manifolds
Large longitudinal studies provide lots of valuable information, especia...
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11/30/2021
A Hierarchical Geodesic Model for Longitudinal Analysis on Manifolds
In many applications, geodesic hierarchical models are adequate for the ...
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11/05/2021
Rigid Motion Invariant Statistical Shape Modeling based on Discrete Fundamental Forms
We present a novel approach for nonlinear statistical shape modeling tha...
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03/12/2021
Geodesic B-Score for Improved Assessment of Knee Osteoarthritis
Three-dimensional medical imaging enables detailed understanding of oste...
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08/27/2020
Bi-invariant Two-Sample Tests in Lie Groups for Shape Analysis
We propose generalizations of the Hotelling's T^2 statistic and the Bhat...
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06/27/2019
Geodesic analysis in Kendall's shape space with epidemiological applications
We analytically determine Jacobi fields and parallel transports and comp...
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05/08/2014