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Related Experiment Video

Updated: May 25, 2026

How to Measure Cortical Folding from MR Images: a Step-by-Step Tutorial to Compute Local Gyrification Index
09:57

How to Measure Cortical Folding from MR Images: a Step-by-Step Tutorial to Compute Local Gyrification Index

Published on: January 2, 2012

Diffeomorphic sulcal shape analysis on the cortex.

Shantanu H Joshi1, Ryan P Cabeen, Anand A Joshi

  • 1Laboratory of Neuro Imaging, Department of Neurology, UCLA School of Medicine, Los Angeles, CA 90095, USA. sjoshi@loni.ucla.edu

IEEE Transactions on Medical Imaging
|February 14, 2012
PubMed
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This study introduces a novel diffeomorphic method for creating intrinsic shape atlases of human cortical sulci. This approach enhances geometric matching in brain registration and sulcal classification tasks.

Area of Science:

  • Neuroimaging
  • Computational Anatomy
  • Medical Image Analysis

Background:

  • Sulci on the human cortex exhibit complex shapes crucial for brain function and individual identification.
  • Existing methods for analyzing and registering cortical surfaces often struggle to capture the intrinsic geometry of sulcal patterns.
  • Developing robust shape representations and atlases is essential for advancing neuroimaging analysis.

Purpose of the Study:

  • To develop a diffeomorphic approach for constructing intrinsic shape atlases of human cortical sulci.
  • To represent sulcal shapes using functional representations on an infinite-dimensional sphere for improved computational analysis.
  • To enhance cortical registration and sulcal classification by preserving local geometric information.

Main Methods:

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Related Experiment Videos

Last Updated: May 25, 2026

How to Measure Cortical Folding from MR Images: a Step-by-Step Tutorial to Compute Local Gyrification Index
09:57

How to Measure Cortical Folding from MR Images: a Step-by-Step Tutorial to Compute Local Gyrification Index

Published on: January 2, 2012

Visualization of Cortical Modules in Flattened Mammalian Cortices
08:49

Visualization of Cortical Modules in Flattened Mammalian Cortices

Published on: January 22, 2018

Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

  • Sulci are modeled as square-root velocity functions of continuous open curves in R³.
  • Shapes are treated as functional representations on a spherical manifold equipped with a Riemannian L² metric.
  • Sulcal shape mapping is performed by computing geodesics in a quotient space, normalizing for scale, translation, rotation, and reparameterization.
  • The intrinsic sulcal shape atlas is integrated into a cortical registration framework.

Main Results:

  • The proposed method generates a sulcal shape atlas that preserves inherent local geometry from the sample population.
  • Integration of the atlas into a cortical registration framework resulted in superior geometric matching compared to conventional Euclidean methods.
  • Experimental results demonstrated successful sulcal shape mapping, cortical surface registration, and sulcal classification across different subject groups and surface extraction protocols.

Conclusions:

  • The diffeomorphic approach provides an effective framework for analyzing and representing intrinsic sulcal shapes.
  • The developed sulcal shape atlas significantly improves geometric matching in cortical registration tasks.
  • This methodology offers a promising tool for advanced neuroimaging analysis, including sulcal classification and comparative studies.