Cortical Sulcal Atlas Construction Using a Diffeomorphic Mapping Approach

  • Shantanu H. Joshi
  • Ryan P. Cabeen
  • Bo Sun
  • Anand A. Joshi
  • Boris Gutman
  • Alen Zamanyan
  • Shruthi Chakrapani
  • Ivo Dinov
  • Roger P. Woods
  • Arthur W. Toga
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6361)

Abstract

We present a geometric approach for constructing shape atlases of sulcal curves on the human cortex. Sulci and gyri are represented as continuous open curves in ℝ3, and their shapes are studied as elements of an infinite-dimensional sphere. This shape manifold has some nice properties – it is equipped with a Riemannian \(\mathbb{L}^2\) metric on the tangent space and facilitates computational analyses and correspondences between sulcal shapes. Sulcal mapping is achieved by computing geodesics in the quotient space of shapes modulo rigid rotations and reparameterizations. The resulting sulcal shape atlas is shown to preserve important local geometry inherently present in the sample population. This is demonstrated in our experimental results for deep brain sulci, where we integrate the elastic shape model into surface registration framework for a population of 69 healthy young adult subjects.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Shantanu H. Joshi
    • 1
  • Ryan P. Cabeen
    • 1
  • Bo Sun
    • 2
  • Anand A. Joshi
    • 1
  • Boris Gutman
    • 1
  • Alen Zamanyan
    • 1
  • Shruthi Chakrapani
    • 1
  • Ivo Dinov
    • 1
  • Roger P. Woods
    • 1
  • Arthur W. Toga
    • 1
  1. 1.Laboratory of Neuro ImagingUniversity of CaliforniaLos AngelesUSA
  2. 2.Research Center for Sectional and Imaging AnatomyShandong University School of MedicineJinanChina

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