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Deformations in a Transverse Cross Section

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...

Temperature Dependent Deformation

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...

Deformation of Member under Multiple Loadings

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...

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Related Experiment Video

Updated: Apr 14, 2026

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

Slice-to-volume deformable registration: efficient one-shot consensus between plane selection and in-plane

Enzo Ferrante¹, Vivien Fecamp, Nikos Paragios

¹Center for Visual Computing (CVN), CentraleSupelec - Galen Team, INRIA, 92295, Chatenay-Malabry, France, enzo.ferrante@ecp.fr.

International Journal of Computer Assisted Radiology and Surgery

|April 23, 2015

Summary

This study introduces a novel graphical model for slice-to-volume registration in medical imaging, improving accuracy and efficiency for image-guided surgeries. The method achieves state-of-the-art results with reduced computational time.

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Last Updated: Apr 14, 2026

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Volume Segmentation and Analysis of Biological Materials Using SuRVoS Super-region Volume Segmentation Workbench

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Area of Science:

Medical Imaging
Computer Vision
Computational Anatomy

Background:

Slice-to-volume registration is crucial for medical image analysis and image-guided surgery.
Existing methods often face challenges with model complexity and computational efficiency.

Purpose of the Study:

To introduce a novel decomposed graphical model for non-rigid slice-to-volume registration.
To decouple plane selection and in-plane deformation for reduced model complexity and simultaneous solution.

Main Methods:

A new non-rigid slice-to-volume registration method using two distinct graphs.
Plane selection as a graph-labeling problem with planarity constraints.
Linking plane selection to deformable registration via data likelihoods.

Main Results:

Demonstrated proof of concept using cardiac MR and multimodal brain imaging (ultrasound, CT).
Achieved state-of-the-art registration accuracy.
Significantly decreased computational time compared to similar methods.

Conclusions:

Graphical models and discrete optimization are effective for non-rigid slice-to-volume registration.
Decoupling the graphical model reduces complexity and enhances computational efficiency.
The approach is adaptable for clinical applications on parallel architectures.