Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...
Spherical Coordinates01:23

Spherical Coordinates

Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
Cylinders in Three-Dimensional Space01:28

Cylinders in Three-Dimensional Space

A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

COUNTERFACTUAL ANALYSIS OF BRAIN NETWORK DYNAMICS.

ArXiv·2026
Same author

SULCAL PATTERN MATCHING WITH THE WASSERSTEIN DISTANCE.

ArXiv·2026
Same author

Thermodynamic rigidity of harmonic brain states relates to general mental ability in juvenile myoclonic epilepsy.

bioRxiv : the preprint server for biology·2026
Same author

Disrupted Higher-Order Topology in OCD Brain Networks Revealed by Hodge Laplacian - an ENIGMA Study.

bioRxiv : the preprint server for biology·2026
Same author

Topological Time Frequency Analysis of Functional Brain Signals.

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference·2025
Same author

Hodge Decomposition of Functional Human Brain Networks.

ArXiv·2025

Related Experiment Video

Updated: Jul 3, 2026

Targeting Neuronal Fiber Tracts for Deep Brain Stimulation Therapy Using Interactive, Patient-Specific Models
14:14

Targeting Neuronal Fiber Tracts for Deep Brain Stimulation Therapy Using Interactive, Patient-Specific Models

Published on: August 12, 2018

Tensor-based cortical surface morphometry via weighted spherical harmonic representation.

Moo K Chung1, Kim M Dalton, Richard J Davidson

  • 1Department of Biostatistics and Medical Informatics, and the Waisman Laboratory for Brain Imaging and Behavior, University of Wisconsin, Madison, WI 53706, USA. mkchung@wisc.edu

IEEE Transactions on Medical Imaging
|August 2, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces a novel tensor-based morphometry framework using weighted spherical harmonics (SPHARM) to analyze cortical shape variations. The method successfully identified abnormal cortical regions in individuals with high-functioning autism.

More Related Videos

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

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps
08:59

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps

Published on: October 28, 2018

Related Experiment Videos

Last Updated: Jul 3, 2026

Targeting Neuronal Fiber Tracts for Deep Brain Stimulation Therapy Using Interactive, Patient-Specific Models
14:14

Targeting Neuronal Fiber Tracts for Deep Brain Stimulation Therapy Using Interactive, Patient-Specific Models

Published on: August 12, 2018

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

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps
08:59

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps

Published on: October 28, 2018

Area of Science:

  • Neuroimaging
  • Computational Anatomy
  • Medical Image Analysis

Background:

  • Cortical shape analysis is crucial for understanding brain development and neurological disorders.
  • Existing morphometric techniques may lack the precision to capture subtle shape variations.

Purpose of the Study:

  • To introduce a novel tensor-based morphometric framework for quantifying cortical shape variations.
  • To present a new weighted spherical harmonic (SPHARM) representation for smooth cortical parametrization.
  • To demonstrate the framework's utility in identifying abnormal cortical regions in high-functioning autism.

Main Methods:

  • Development of a tensor-based morphometric framework utilizing local area elements derived from Riemannian metric tensors.
  • Introduction of a novel weighted spherical harmonic (SPHARM) representation for smooth functional parametrization of cortical meshes.
  • Application of the weighted-SPHARM as a least squares approximation for isotropic heat diffusion on a unit sphere.

Main Results:

  • The weighted-SPHARM representation generalizes traditional SPHARM.
  • The tensor-based morphometric framework effectively quantifies cortical shape variations.
  • The methodology successfully identified abnormal cortical regions in a cohort of high-functioning autistic subjects.

Conclusions:

  • The proposed weighted-SPHARM representation and tensor-based morphometric framework offer a powerful tool for analyzing cortical shape.
  • This approach holds promise for the detection of neuroanatomical abnormalities in conditions like autism.
  • The framework provides a robust method for advancing quantitative neuroimaging research.