Search: id:"swepub:oai:research.chalmers.se:42888fff-5c6c-40dc-829c-0fe606cd960e" >
Diffeomorphic densi...
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Bauer, M.Florida State University
(author)
Diffeomorphic density registration
- Article/chapterEnglish2019
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LIBRIS-ID:oai:research.chalmers.se:42888fff-5c6c-40dc-829c-0fe606cd960e
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https://research.chalmers.se/publication/515892URI
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https://doi.org/10.1016/B978-0-12-814725-2.00025-XDOI
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https://gup.ub.gu.se/publication/292625URI
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Language:English
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Summary in:English
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Subject category:kap swepub-publicationtype
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Subject category:vet swepub-contenttype
Notes
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In this book chapter we study the Riemannian geometry of the density registration problem: Given two densities (not necessarily probability densities) defined on a smooth finite-dimensional manifold find a diffeomorphism which transforms one to the other. This problem is motivated by the medical imaging application of tracking organ motion due to respiration in thoracic CT imaging, where the fundamental physical property of conservation of mass naturally leads to modeling CT attenuation as a density. We will study the intimate link between the Riemannian metrics on the space of diffeomorphisms and those on the space of densities. We finally develop novel computationally efficient algorithms and demonstrate their applicability for registering thoracic respiratory correlated CT imaging.
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Joshi, S.University of Utah
(author)
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Modin, Klas,1979Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences(Swepub:gu)xmodkl
(author)
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Florida State UniversityUniversity of Utah
(creator_code:org_t)
Related titles
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In:Riemannian Geometric Statistics in Medical Image Analysis: Elsevier, s. 577-6039780128147269
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