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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...
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.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
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...
Scaling01:26

Scaling

In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
Dense Connective Tissue01:13

Dense Connective Tissue

Dense connective tissue contains more collagen fibers than loose connective tissue. As a consequence, it displays greater resistance to stretching. There are two major categories of dense connective tissue— regular and irregular.
Dense Regular Connective Tissue
In dense regular connective tissue, fibers are arranged parallel to each other, enhancing its tensile strength and resistance to stretching in the direction of the fiber orientations. Ligaments and tendons are made of dense regular...

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Related Experiment Video

Updated: May 31, 2026

Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics
14:14

Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics

Published on: April 16, 2017

A multi-scale kernel bundle for LDDMM: towards sparse deformation description across space and scales.

Stefan Sommer1, Mads Nielsen, François Lauze

  • 1Dept. of Computer Science, Univ. of Copenhagen, Denmark. sommer@diku.dk

Information Processing in Medical Imaging : Proceedings of the ... Conference
|July 19, 2011
PubMed
Summary

This study introduces LDDKBM, a novel extension of Large Deformation Diffeomorphic Metric Mapping (LDDMM) for medical image registration. LDDKBM integrates multiple kernels across scales, eliminating manual scale selection and improving deformation properties.

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Area of Science:

  • Medical Imaging
  • Computational Anatomy
  • Image Registration

Background:

  • The Large Deformation Diffeomorphic Metric Mapping (LDDMM) framework is a robust method for medical image registration.
  • The choice of regularization kernel significantly impacts LDDMM registration outcomes.
  • Standard LDDMM requires careful selection of kernel size for optimal performance.

Purpose of the Study:

  • To extend the LDDMM framework to incorporate multiple kernels at multiple scales.
  • To develop a method that automatically leverages multi-scale information for improved registration.
  • To eliminate the need for manual scale selection in LDDMM.

Main Methods:

  • Introduced a novel framework, LDDKBM, extending LDDMM with multi-scale kernel incorporation.
  • Decoupled momentum across different scales within the registration process.
  • Evaluated the framework on lung CT landmark data.

Main Results:

  • LDDKBM achieved registration accuracy comparable to optimally scaled standard LDDMM.
  • The framework automatically integrated advantages from different scales without manual tuning.
  • Demonstrated improved interpolation properties and potential for sparse deformation descriptions.

Conclusions:

  • LDDKBM offers an advanced LDDMM approach by seamlessly integrating multi-scale kernels.
  • The method removes the dependency on manual scale selection, simplifying the registration process.
  • LDDKBM shows promise for enhanced deformation modeling, sparse representations, and scale-aware statistical analysis in medical imaging.