On restricting planar curve evolution to finite dimensional implicit subspaces with non-Euclidean metric

DOI10.1007/s10851-010-0218-2zbMath1255.53054OpenAlexW2046703823MaRDI QIDQ1932812

Stefan Sommer, Mads Nielsen, Aditya Tatu, François Lauze

Publication date: 22 January 2013

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-010-0218-2

zbMATH Keywords

Riemannian geometryconstrained optimizationexponential mapshooting methodshape spaceactive contourscurve evolutionnonlinear projectionlog mapimplicitly defined shape space

Mathematics Subject Classification ID

Related Items (1)

A Fisher-Rao metric for curves using the information in edges

Cites Work

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• Large deformation diffeomorphic metric curve mapping
• Generalized gradients: priors on minimization flows
• Sobolev active contours
• Properties of Sobolev-type metrics in the space of curves
• The heat equation shrinks embedded plane curves to round points
• Geodesic active contours
• Group actions, homeomorphisms, and matching: A general framework
• Symplectic methods for the approximation of the exponential map and the Newton iteration on Riemannian submanifolds
• Riemannian geometries on spaces of plane curves
• Moore-Penrose inverse in an indefinite inner product space
• A New Geometric Metric in the Space of Curves, and Applications to Tracking Deforming Objects by Prediction and Filtering
• B-spline signal processing. I. Theory
• B-spline signal processing. II. Efficiency design and applications
• Resonant oscillations in closed tubes: the solution of Chester's equation
• Computable Elastic Distances Between Shapes

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