A review of geometric transformations for nonrigid body registration

M Holden - IEEE transactions on medical imaging, 2007 - ieeexplore.ieee.org
This paper provides a comprehensive and quantitative review of spatial transformations
models for nonrigid image registration. It explains the theoretical foundation of the models …

Statistical methods in computational anatomy

M Miller, A Banerjee, G Christensen… - … methods in medical …, 1997 - journals.sagepub.com
This paper reviews recent developments by the Washington/Brown groups for the study of
anatomical shape in the emerging new discipline of computational anatomy. Parametric …

Computing large deformation metric mappings via geodesic flows of diffeomorphisms

MF Beg, MI Miller, A Trouvé, L Younes - International journal of computer …, 2005 - Springer
This paper examine the Euler-Lagrange equations for the solution of the large deformation
diffeomorphic metric mapping problem studied in Dupuis et al.(1998) and Trouvé (1995) in …

Nonlinear spatial normalization using basis functions

J Ashburner, KJ Friston - Human brain mapping, 1999 - Wiley Online Library
We describe a comprehensive framework for performing rapid and automatic nonlabel‐
based nonlinear spatial normalizations. The approach adopted minimizes the residual …

[图书][B] Numerical methods for image registration

J Modersitzki - 2003 - books.google.com
Based on the author's lecture notes and research, this well-illustrated and comprehensive
text is one of the first to provide an introduction to image registration with particular emphasis …

Analysis and approximation of rare events

A Budhiraja, P Dupuis - … and Weak Convergence Methods. Series Prob …, 2019 - Springer
The theory of large deviations is concerned with various approximations involving rare
events. It is also concerned with characterizing the circumstances that lead to a given rare …

[图书][B] FAIR: flexible algorithms for image registration

J Modersitzki - 2009 - SIAM
This book really shows how registration works: the flip-book appearing at the top right
corners shows a registration of a human knee from bent to straight position (keeping bones …

Computational anatomy: An emerging discipline

U Grenander, MI Miller - Quarterly of applied mathematics, 1998 - ams.org
This paper studies mathematical methods in the emerging new discipline of Computational
Anatomy. Herein we formalize the Brown/Washington University model of anatomy following …

Variational problems on flows of diffeomorphisms for image matching

P Dupuis, U Grenander, MI Miller - Quarterly of applied mathematics, 1998 - JSTOR
This paper studies a variational formulation of the image matching problem. We consider a
scenario in which a canonical representative image T is to be carried via a smooth change …

A survey of hierarchical non-linear medical image registration

H Lester, SR Arridge - Pattern recognition, 1999 - Elsevier
In this paper hierarchical non-linear image registration is classified into three main groups,
where the registration at successive levels in the hierarchy increases in data complexity …