Geometry of Image Registration: The Diffeomorphism Group and Momentum Maps
Martins Bruveris, Darryl D. Holm
TL;DR
This paper explores the geometric framework of image registration using the diffeomorphism group and momentum maps within the LDDMM approach, providing insights into the mathematical structure underlying computational anatomy.
Contribution
It offers a detailed geometric and analytical perspective on image registration, emphasizing the role of diffeomorphism groups and momentum maps in LDDMM.
Findings
Clarifies the geometric structure of image registration
Analyzes analytical questions in large deformation diffeomorphic mapping
Provides a foundation for further mathematical development in computational anatomy
Abstract
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.
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Taxonomy
TopicsMedical Image Segmentation Techniques