Heat Kernel Smoothing via Laplace-Beltrami Eigenfunctions and Its Application to Subcortical Structure Modeling

  • Seung-Goo Kim
  • Moo K. Chung
  • Seongho Seo
  • Stacey M. Schaefer
  • Carien M. van Reekum
  • Richard J. Davidson
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7087)


We present a new subcortical structure shape modeling framework using heat kernel smoothing constructed with the Laplace-Beltrami eigenfunctions. The cotan discretization is used to numerically obtain the eigenfunctions of the Laplace-Beltrami operator along the surface of subcortical structures of the brain. The eigenfunctions are then used to construct the heat kernel and used in smoothing out measurements noise along the surface. The proposed framework is applied in investigating the influence of age (38-79 years) and gender on amygdala and hippocampus shape. We detected a significant age effect on hippocampus in accordance with the previous studies. In addition, we also detected a significant gender effect on amygdala. Since we did not find any such differences in the traditional volumetric methods, our results demonstrate the benefit of the current framework over traditional volumetric methods.


Heat Kernel Subcortical Structure Total Brain Volume Human Brain Mapping Mesh Vertex 
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 2011

Authors and Affiliations

  • Seung-Goo Kim
    • 1
  • Moo K. Chung
    • 1
    • 2
    • 3
  • Seongho Seo
    • 1
  • Stacey M. Schaefer
    • 3
  • Carien M. van Reekum
    • 5
  • Richard J. Davidson
    • 3
    • 4
  1. 1.Department of Brain and Cognitive SciencesSeoul National UniversityKorea
  2. 2.Department of Biostatistics and Medical InformaticsUniversity of WisconsinMadisonUSA
  3. 3.Waisman Laboratory for Brain Imaging and BehaviorUniversity of WisconsinMadisonUSA
  4. 4.Department of Psychology and PsychiatryUniversity of WisconsinMadisonUSA
  5. 5.Centre for Integrative Neuroscience and Neurodynamics, School of Psychology and Clinical Language SciencesUniversity of ReadingUK

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