A variational approach to cardiac motion estimation based on covariant derivatives and multi-scale Helmholtz decomposition

DOI10.1090/S0033-569X-2012-01313-0zbMath1261.49008OpenAlexW1970953370MaRDI QIDQ4915096

Alessandro Becciu, Hans Van Assen, Bart J. Janssen, Remco Duits

Publication date: 16 April 2013

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2012-01313-0

zbMATH Keywords

inverse problemscovariant derivativesscale spaceHelmholtz decompositionfiber bundlesoptical flow methods in image analysis

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Spectrum, resolvent (47A10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Decomposition methods (49M27) Discrete approximations in optimal control (49M25)

Related Items (3)

Evolution equations on Gabor transforms and their applications ⋮ A gauge field model of modal completion ⋮ Notes on discrete Gaussian scale space

Cites Work

• The structure of images
• Bounds on eigenvalues of Sturm-Liouville problems with discontinuous coefficients
• Local Morse theory for solutions to the heat equation and Gaussian blurring
• The topological structure of scale-space images
• Deblurring Images
• Scale Space and PDE Methods in Computer Vision
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