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Related Concept Videos

Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

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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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Temperature Dependent Deformation01:12

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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...
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Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

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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...
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Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

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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...
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Deformations in a Transverse Cross Section01:21

Deformations in a Transverse Cross Section

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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.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
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Transformation of Plane Strain01:12

Transformation of Plane Strain

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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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Related Experiment Video

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Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics
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Real-time segmentation by Active Geometric Functions.

Qi Duan1, Elsa D Angelini, Andrew F Laine

  • 1Department of Biomedical Engineering, Columbia University, New York, NY 10027, USA. Qi.Duan@nyumc.org

Computer Methods and Programs in Biomedicine
|October 6, 2009
PubMed
Summary
This summary is machine-generated.

A new Active Geometric Functions (AGF) framework enables real-time cardiac image segmentation, significantly improving efficiency for 4D ultrasound and MRI analysis. This method achieves comparable results to manual tracing, facilitating faster diagnoses and new clinical applications.

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Area of Science:

  • Medical Imaging
  • Computational Anatomy
  • Biomedical Engineering

Background:

  • Advanced 4D and real-time imaging generate vast cardiac data, posing efficiency challenges for traditional analysis algorithms.
  • High spatial and temporal resolution in cardiac imaging is crucial for clinical diagnosis but requires efficient analysis.
  • Existing image analysis methods struggle with the computational demands of real-time cardiac data.

Purpose of the Study:

  • Introduce a novel deformable model framework, Active Geometric Functions (AGF), for efficient real-time cardiac image segmentation.
  • Address the challenge of analyzing large, dynamic cardiac image datasets efficiently.
  • Demonstrate the efficacy of AGF in clinical cardiac imaging applications.

Main Methods:

  • Developed Active Geometric Functions (AGF), an implicit framework similar to level-set methods.
  • Applied AGF to endocardial segmentation in 4D ultrasound and myocardial segmentation in high-temporal-resolution MRI.
  • Evaluated AGF's performance against manual tracing, considering inter-observer variability.

Main Results:

  • AGF achieved real-time cardiac image segmentation in milliseconds per frame, faster than data acquisition time.
  • Demonstrated comparable segmentation performance to manual tracing in both 4D ultrasound and MRI applications.
  • Highlighted AGF's mathematical advantages in efficiency and computational complexity over traditional methods.

Conclusions:

  • Active Geometric Functions (AGF) provide an efficient solution for real-time cardiac image segmentation.
  • Real-time segmentation capabilities facilitate improved diagnostic workflows and enable novel applications like interventional guidance.
  • The AGF framework offers a promising approach for analyzing complex, dynamic cardiac imaging data.