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Diffeomorphic densi...
Diffeomorphic density registration
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- Bauer, M. (författare)
- Florida State University
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- Joshi, S. (författare)
- University of Utah
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- Modin, Klas, 1979 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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(creator_code:org_t)
- Elsevier, 2019
- 2019
- Engelska.
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Ingår i: Riemannian Geometric Statistics in Medical Image Analysis. - : Elsevier. - 9780128147269 ; , s. 577-603
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Medicinteknik -- Medicinsk bildbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Medical Engineering -- Medical Image Processing (hsv//eng)
Nyckelord
- Density registration
- Diffeomorphism groups
- Fisher-Rao metric
- Image registration
- Information geometry
- Random sampling
- Optimal transport
- Density registration
- Diffeomorphism groups
- Fisher-Rao metric
- Image registration
- Information geometry
- Optimal transport
- Random sampling
Publikations- och innehållstyp
- kap (ämneskategori)
- vet (ämneskategori)
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