Optimal Diffeomorphic Matching

And Applications in Biomedical Imaging

ISBN: 978-3-11-026845-4
Verlag: De Gruyter

Buch, Englisch, 300 Seiten, Format (B × H): 170 mm x 240 mm

Reihe: Radon Series on Computational and Applied Mathematics

This book is aboutoptimal matching of dynamically deformable curves and surfaces in R3 with applications in biomedical imaging. In particular,it focusses on diffeomorphic matching which amounts to the solution of an optimization problem featuring a regularized disparity cost functional subject to a dynamical system in terms of a time-dependent family of diffeomorphisms in R3 describing the temporal deformation of the curve or surface under consideration. As applications in biomedical imaging, the optimal matching of snapshots from key anatomic parts of the human heart and the human brain is considered.

Autoren/Hrsg.

Azencott, Robert

Trouvé, Alain

Younes, Laurent

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Über Autor(innen)

Robert Azencott, University of Houston, TX, USA; Alain Trouvé, Ecole Normale Supérieure de Cachan, France; Laurent Younes, Johns Hopkins University, Baltimore, MD, USA.