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Geometry of image registration: the diffeomorphism group and momentum maps. (English) Zbl 1348.92094

Chang, Dong Eui (ed.) et al., Geometry, mechanics, and dynamics. The legacy of Jerry Marsden. Selected papers presented at a focus program, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, July 2012. New York, NY: Springer (ISBN 978-1-4939-2440-0/hbk; 978-1-4939-2441-7/ebook). Fields Institute Communications 73, 19-56 (2015).
Summary: These lecture notes explain the geometry and discuss some of the analytical questions underlying image registration within the framework of large deformation diffeomorphic metric mapping (LDDMM) used in computational anatomy.
For the entire collection see [Zbl 1317.53004].

MSC:

92C55 Biomedical imaging and signal processing
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions

Software:

LDDMM; FLIRT
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

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