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Related Concept Videos

Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
Transformation of Plane Strain01:12

Transformation of Plane Strain

When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
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In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
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When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
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Curvilinear Motion: Normal and Tangential Components01:27

Curvilinear Motion: Normal and Tangential Components

When a car traverses a curved road, its motion can be elucidated by breaking it down into tangential and normal components. The car-centric coordinates attached to the vehicle move with it.
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Diffusion Tensor Magnetic Resonance Imaging in the Analysis of Neurodegenerative Diseases
09:33

Diffusion Tensor Magnetic Resonance Imaging in the Analysis of Neurodegenerative Diseases

Published on: July 28, 2013

Anisotropic diffusion of tensor fields for fold shape analysis on surfaces.

Maxime Boucher1, Alan Evans, Kaleem Siddiqi

  • 1School of Computer Science and Centre for Intelligent Machines, McGill University. boucher@bic.mni.mcgill.ca

Information Processing in Medical Imaging : Proceedings of the ... Conference
|July 19, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces anisotropic diffusion kernels to analyze human cortical surface shape, revealing age-related anatomical differences. The method accurately captures fold directions, improving understanding of brain aging and sulcal morphology.

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Last Updated: May 31, 2026

Diffusion Tensor Magnetic Resonance Imaging in the Analysis of Neurodegenerative Diseases
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Published on: November 8, 2012

Area of Science:

  • Neuroimaging
  • Computational Anatomy
  • Medical Image Analysis

Background:

  • Human cortical surface folding exhibits consistent anatomical patterns across individuals.
  • Isotropic diffusion methods for cortical surface analysis may be limited due to anatomical regions following fold directions.

Purpose of the Study:

  • To introduce anisotropic diffusion kernels for analyzing cortical surface shape along fold directions.
  • To map deformations affecting sulcal length within the diffusion process.
  • To investigate anisotropic shape differences in the human cortical surface associated with aging.

Main Methods:

  • Development and application of anisotropic diffusion kernels to follow neighboring fold directions on cortical surfaces.
  • Mapping of deformations parallel to neighboring folds during the diffusion process.
  • Analysis of a database comprising 95 healthy subjects' brain scans.

Main Results:

  • Demonstration of anisotropic shape differences in the cortical surface related to aging.
  • Observed contraction of the cingulate sulcus.
  • Identification of shorter gyri in the temporal lobe and frontal lobe contraction.

Conclusions:

  • Anisotropic diffusion kernels provide a more accurate method for analyzing cortical surface shape, particularly in relation to anatomical folds.
  • The study reveals specific anisotropic shape changes in the human brain associated with the aging process.
  • Findings contribute to a better understanding of neuroanatomical alterations during aging.