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Found 6 papers, 3 papers with code
Elastic shape analysis of surfaces with second-order Sobolev metrics: a comprehensive numerical framework
This paper introduces a set of numerical methods for Riemannian shape analysis of 3D surfaces within the setting of invariant (elastic) second-order Sobolev metrics.
Supervised deep learning of elastic SRV distances on the shape space of curves
Motivated by applications from computer vision to bioinformatics, the field of shape analysis deals with problems where one wants to analyze geometric objects, such as curves, while ignoring actions that preserve their shape, such as translations, rotations, or reparametrizations.
Shape Analysis of Surfaces Using General Elastic Metrics
In this article we introduce a family of elastic metrics on the space of parametrized surfaces in 3D space using a corresponding family of metrics on the space of vector valued one-forms.
Differential Geometry Optimization and Control 49Q10, 58B20
Statistical shape analysis of simplified neuronal trees
This paper develops a mathematical representation of neuronal trees, restricting to the trees that consist of: (1) a main branch viewed as a parameterized curve in
Video-Based Action Recognition Using Rate-Invariant Analysis of Covariance Trajectories
Using a natural Riemannain metric on vector bundles of SPDMs, we compute geodesic paths and geodesic distances between trajectories in the quotient space of this vector bundle, with respect to the re-parameterization group.
Registration of Functional Data Using Fisher-Rao Metric
We introduce a novel geometric framework for separating the phase and the amplitude variability in functional data of the type frequently studied in growth curve analysis.
Statistics Theory Applications Methodology Statistics Theory
