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Related Concept Videos

Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

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...
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
Theorems of Pappus and Guldinus: Problem Solving01:12

Theorems of Pappus and Guldinus: Problem Solving

Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For example, consider a cylindrical storage tank with a conical top. Finding the surface area or volume can be challenging for such complex shapes. These theorems are particularly useful in calculating the volume and surface area of such systems. Here, the cylindrical storage tank with a conical top can be broken down into two simple shapes: a cylinder...
Torsion of Noncircular Members01:16

Torsion of Noncircular Members

Circular shafts undergoing torsional stress maintain their cross-sectional integrity due to their axisymmetric nature. This symmetry ensures an even distribution of stress, allowing the shaft to withstand torsion without distorting. In contrast, square bars, lacking this axial symmetry, experience significant distortion across their cross-sections when subjected to torsion, with the exception of along their diagonals and at lines connecting midpoints. A detailed examination of a cubic element...
Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
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...

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Related Experiment Video

Updated: Jun 13, 2026

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
06:34

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes

Published on: January 6, 2023

Volumetric shape model for oriented tubular structure from DTI data.

Hon Pong Ho1, Xenophon Papademetris, Fei Wang

  • 1Department of Biomedical Engineering, Yale University, New Haven, CT, USA.

Medical Image Computing and Computer-Assisted Intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention
|April 30, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a novel method for modeling white matter tracts using diffusion tensor imaging (DTI) data. The technique enhances shape prior construction by combining sweeping and inverse-skeletonization for accurate 3D tract modeling.

More Related Videos

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

Related Experiment Videos

Last Updated: Jun 13, 2026

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
06:34

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes

Published on: January 6, 2023

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

Area of Science:

  • Neuroimaging
  • Medical Image Analysis
  • Computational Anatomy

Background:

  • Statistical shape modeling requires shape normalization for constructing shape priors.
  • Existing methods often rely solely on boundary or orientation information, limiting their accuracy.
  • Accurate modeling of white matter tracts is crucial for understanding brain structure and function.

Purpose of the Study:

  • To develop and validate a novel method for constructing shape priors of white matter tracts using orientation information from diffusion tensor images (DTI).
  • To overcome limitations of existing shape normalization techniques by integrating volumetric shape parameterization.
  • To provide a continuous and de-noised orientation representation for improved tract modeling.

Main Methods:

  • A new shape normalization method is proposed, combining sweeping and inverse-skeletonization to parameterize 3D volumetric shapes.
  • This approach generates continuous point correspondence and orientation information across the entire volume.
  • The method utilizes tangents from the continuous model as a de-noised representation of structural orientation.

Main Results:

  • The technique was successfully demonstrated by reconstructing synthetic data with high accuracy.
  • Accurate reconstruction of the 3D cingulum tract from brain DTI data was achieved.
  • The method proved effective even when using manually drawn 2D contours for tract definition.

Conclusions:

  • The developed method offers a robust approach for constructing shape priors of white matter tracts from DTI data.
  • The continuous volumetric parameterization provides a more comprehensive and accurate representation of tract shape and orientation.
  • The output serves as a valuable input for subsequent neuroimaging analyses, including boundary finding and shape analysis.