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Harmonic Surface Mapping with Laplace-Beltrami Eigenmaps

  • Yonggang Shi
  • Rongjie Lai
  • Kyle Kern
  • Nancy Sicotte
  • Ivo Dinov
  • Arthur W. Toga
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5242)

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.

Keywords

Caudate Nucleus Subcortical Structure Level Contour Reeb Graph Spherical Parameterization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Yonggang Shi
    • 1
  • Rongjie Lai
    • 2
  • Kyle Kern
    • 3
  • Nancy Sicotte
    • 3
  • Ivo Dinov
    • 1
  • Arthur W. Toga
    • 1
  1. 1.Lab of Neuro ImagingUCLA School of MedicineLos AngelesUSA
  2. 2.Department of MathematicsUCLALos AngelesUSA
  3. 3.Department of NeurologyUCLA School of MedicineLos AngelesUSA

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