String methods for stochastic image and shape matching

DOI10.1007/s10851-018-0823-zzbMath1455.94006arXiv1805.06038OpenAlexW2803729172WikidataQ125874397 ScholiaQ125874397MaRDI QIDQ1799551

Alexis Arnaudon, Stefan Sommer, Darryl D. Holm

Publication date: 19 October 2018

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

Full work available at URL: https://arxiv.org/abs/1805.06038

zbMATH Keywords

stochastic differential equationsshape analysisstring methodLDDMMlarge deformation matching

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Stochastic approximation (62L20) Stochastic processes (60G99)

Related Items (3)

Implications of Kunita-Itô-Wentzell formula for \(k\)-forms in stochastic fluid dynamics ⋮ Moment evolution equations and moment matching for stochastic image EPDiff ⋮ String methods for stochastic image and shape matching

Cites Work

• Unnamed Item
• Unnamed Item
• Noise and dissipation on coadjoint orbits
• String methods for stochastic image and shape matching
• Convergence of a stochastic approximation version of the EM algorithm
• The momentum map representation of images
• Extension to infinite dimensions of a stochastic second-order model associated with shape splines
• Computing large deformation metric mappings via geodesic flows of diffeomorphisms
• Shape splines and stochastic shape evolutions: A second order point of view
• Langevin Equations for Landmark Image Registration with Uncertainty
• Principal Curves
• Minimum action method for the study of rare events
• Variational principles for stochastic fluid dynamics
• Variational principles for stochastic soliton dynamics
• Geometric Mechanics
• Shapes and diffeomorphisms
• Stochastic differential equations. An introduction with applications.

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