This paper provides a comprehensive and quantitative review of spatial transformations
models for nonrigid image registration. It explains the theoretical foundation of the models …

▪ Abstract This paper reviews literature, current concepts and approaches in computational
anatomy (CA). The model of CA is a Grenander deformable template, an orbit generated …

Function and shape data analysis are old topics in statistics, studied off and on over the last
several decades. However, the early years of the new millennium saw a renewed focus and …

This paper discusses certain modifications of the ideas concerning the Gromov–Hausdorff
distance which have the goal of modeling and tackling the practical problems of object …

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 …

Implicit representations can provide simple descriptions of relatively complex shapes and
can in many cases be a good choice when designing stable shape processing algorithms …

Models of shape variations have become a central component for the automated analysis of
images. An important class of shape models are point distribution models (PDMs). These …

Construction of population atlases is a key issue in medical image analysis, and particularly
in brain mapping. Large sets of images are mapped into a common coordinate system to …

The dynamic nature of growth and degenerative disease processes requires the design of
sensitive strategies to detect, track and quantify structural change in the brain in its full …

PURPOSE: Mild cognitive impairment (MCI) is thought to be the prodromal phase to
Alzheimer's disease (AD). We analyzed patterns of gray matter (GM) loss to examine what …