Paper Info
Title
Conformal metric optimization on surface (CMOS) for deformation and mapping in Laplace-Beltrami embedding space.
Abstract
In this paper we develop a novel technique for surface deformation and mapping in the high-dimensional Laplace-Beltrami embedding space. The key idea of our work is to realize surface deformation in the embedding space via optimization of a conformal metric on the surface. Numerical techniques are developed for computing derivatives of the eigenvalues and eigenfunctions with respect to the conformal metric, which is then applied to compute surface maps in the embedding space by minimizing an energy function. In our experiments, we demonstrate the robustness of our method by applying it to map hippocampal atrophy of multiple sclerosis patients with depression on a data set of 109 subjects. Statistically significant results have been obtained that show excellent correlation with clinical variables. A comparison with the popular SPHARM tool has also been performed to demonstrate that our method achieves more significant results.
Year
DOI
Venue
2011
10.1007/978-3-642-23629-7_40
MICCAI (2)
Keywords
Field
DocType
surface map,energy function,conformal metric optimization,high-dimensional laplace-beltrami embedding space,hippocampal atrophy,clinical variable,significant result,surface deformation,key idea,statistically significant result,laplace-beltrami embedding space,embedding space
Topology,Eigenfunction,Embedding,Weight function,Laplace transform,Computer science,Robustness (computer science),Conformal map,Eigenvalues and eigenvectors,Triangle mesh
Conference
Volume
Issue
ISSN
14
Pt 2
0302-9743
Citations 
PageRank 
References 
9
0.49
10
Authors
7
Name
Order
Citations
PageRank
Yonggang Shi159854.47
Rongjie Lai223919.84
Raja Gill390.49
Daniel Pelletier4635.90
David Mohr5325.38
Nancy Sicotte6291.94
Arthur W. Toga73128261.46