Diffeomorphic density registration

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.

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
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

Joshi, S.University of Utah (author)
Modin, Klas,1979Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences(Swepub:gu)xmodkl (author)
Florida State UniversityUniversity of Utah (creator_code:org_t)

In:Riemannian Geometric Statistics in Medical Image Analysis: Elsevier, s. 577-6039780128147269

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Mathematics; and Computational Ma ...

ENGINEERING AND TECHNOLOGY: ENGINEERING AND ...; and Medical Engineer ...; and Medical Image Pr ...

By the university: Chalmers University of Technology; University of Gothenburg

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