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Medical Image Computing and Computer-Assisted Intervention – MICCAI 2010

Volume 6361 of the series Lecture Notes in Computer Science pp 357-366

Cortical Sulcal Atlas Construction Using a Diffeomorphic Mapping Approach

  • Shantanu H. JoshiAffiliated withLaboratory of Neuro Imaging, University of California
  • , Ryan P. CabeenAffiliated withLaboratory of Neuro Imaging, University of California
  • , Bo SunAffiliated withResearch Center for Sectional and Imaging Anatomy, Shandong University School of Medicine
  • , Anand A. JoshiAffiliated withLaboratory of Neuro Imaging, University of California
  • , Boris GutmanAffiliated withLaboratory of Neuro Imaging, University of California
  • , Alen ZamanyanAffiliated withLaboratory of Neuro Imaging, University of California
  • , Shruthi ChakrapaniAffiliated withLaboratory of Neuro Imaging, University of California
  • , Ivo DinovAffiliated withLaboratory of Neuro Imaging, University of California
  • , Roger P. WoodsAffiliated withLaboratory of Neuro Imaging, University of California
    • , Arthur W. TogaAffiliated withLaboratory of Neuro Imaging, University of California

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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.