Title
Harmonic surface mapping with Laplace-Beltrami eigenmaps.
Abstract
In this paper we propose a novel approach for the mapping of 3D surfaces. With the Reeb graph of Laplace-Beltrami eigenmaps, our method automatically detects stable landmark features intrinsic to the surface geometry and use them as boundary conditions to compute harmonic maps to the unit sphere. The resulting maps are diffeomorphic, robust to natural pose variations, and establish correspondences for geometric features shared across population. In the experiments, we demonstrate our method on three subcortical structures: the hippocampus, putamen, and caudate nucleus. A group study is also performed to generate a statistically significant map of local volume losses in the hippocampus of patients with secondary progressive multiple sclerosis.
Year
DOI
Venue
2008
10.1007/978-3-540-85990-1_18
MICCAI (2)
Keywords
Field
DocType
boundary condition,caudate nucleus,group study,detects stable landmark,reeb graph,geometric feature,harmonic map,harmonic surface mapping,laplace-beltrami eigenmaps,local volume loss,novel approach,algorithms,artificial intelligence,statistical significance,hippocampus
Population,Boundary value problem,Computer vision,Harmonic map,Laplace transform,Pattern recognition,Computer science,Harmonic,Artificial intelligence,Diffeomorphism,Unit sphere,Reeb graph
Conference
Volume
Issue
ISSN
11
Pt 2
0302-9743
Citations 
PageRank 
References 
13
0.86
10
Authors
6
Name
Order
Citations
PageRank
Yonggang Shi159854.47
Rongjie Lai223919.84
Kyle C. Kern3211.75
Nancy Sicotte4291.94
Ivo Dinov514312.01
Arthur W. Toga63128261.46