Shape Analysis of Functional Data

DOI10.1007/978-3-030-31351-7_13OpenAlexW2971510103MaRDI QIDQ3300545

Xiaoyang Guo, Anuj Srivastava

Publication date: 29 July 2020

Published in: Handbook of Variational Methods for Nonlinear Geometric Data (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-31351-7_13

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Uses Software

• fdasrvf

Cites Work

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• Generative models for functional data using phase and amplitude separation
• Functional and shape data analysis
• On shape of plane elastic curves
• A metric on shape space with explicit geodesics
• A survey of the statistical theory of shape. With discussion and a reply by the author
• Functional data analysis of amplitude and phase variation
• Coordinate descent algorithms
• Computing distances and geodesics between manifold-valued curves in the SRV framework
• Statistical analysis of trajectories on Riemannian manifolds: bird migration, hurricane tracking and video surveillance
• Constructing reparameterization invariant metrics on spaces of plane curves
• Phase-Amplitude Separation and Modeling of Spherical Trajectories
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• Computable Elastic Distances Between Shapes
• Elastic functional principal component regression
• Simplifying Transforms for General Elastic Metrics on the Space of Plane Curves
• A Numerical Framework for Sobolev Metrics on the Space of Curves

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