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Related Concept Videos

Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added together...
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
Deformations in a Transverse Cross Section01:21

Deformations in a Transverse Cross Section

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.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...

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Related Experiment Video

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Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities
07:13

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities

Published on: October 27, 2023

Symmetric data attachment terms for large deformation image registration.

Mirza Faisal Beg1, Ali Khan

  • 1Medical Image Analysis Laboratory, School of Engineering Science, Simon Fraser University, Burnaby, BC V5A 1S6, Canada. mfbeg@ensc.sfu.ca

IEEE Transactions on Medical Imaging
|September 28, 2007
PubMed
Summary
This summary is machine-generated.

This study introduces novel inverse-consistent cost functions for nonrigid medical image registration, ensuring symmetry between template and target images for improved accuracy.

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Area of Science:

  • Medical Imaging
  • Computational Anatomy
  • Image Registration

Background:

  • Nonrigid medical image registration aims for symmetric transformations, where registration is consistent regardless of image order.
  • Existing algorithms often fail to maintain this inverse consistency, leading to registration inaccuracies.
  • This inconsistency is particularly problematic when interchanging template and target images.

Purpose of the Study:

  • To develop novel cost functions for large deformation diffeomorphic framework that enforce inverse consistency in medical image registration.
  • To improve the symmetry and accuracy of nonrigid image registration algorithms.

Main Methods:

  • Proposed two new cost functions within the large deformation diffeomorphic framework.
  • These functions incorporate symmetric data-attachment terms.
  • The first cost function measures matching error along the entire transformation flow; the second enforces matching at the midpoint of the flow.

Main Results:

  • Implemented and experimentally validated the proposed cost functions.
  • Demonstrated that the new cost functions achieve inverse consistency.
  • Showcased improved registration accuracy compared to existing methods.

Conclusions:

  • The developed cost functions effectively address the inverse inconsistency problem in nonrigid medical image registration.
  • These methods offer a more robust and accurate approach to image registration, particularly in scenarios requiring symmetry.
  • The findings have implications for various medical imaging applications demanding precise spatial transformations.