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Related Concept Videos

Position and Displacement Vectors01:00

Position and Displacement Vectors

To describe the motion of an object, one should first be able to describe its position (where it is at any particular time). More precisely, the position needs to be specified relative to a convenient frame of reference. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described. Earth is often used as a frame of reference to describe the position of an object in relation to stationary objects on Earth.
Further, several important kinds of...
Position and Displacement Vectors01:00

Position and Displacement Vectors

To describe the motion of an object, one should first be able to describe its position (where it is at any particular time). More precisely, the position needs to be specified relative to a convenient frame of reference. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described. Earth is often used as a frame of reference to describe the position of an object in relation to stationary objects on Earth.
Further, several important kinds of...
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...
Position and Displacement01:31

Position and Displacement

The position of an object defines its location relative to a convenient frame of reference at any particular time. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described. Earth is often used as a frame of reference, and we often describe the position of an object as it relates to stationary objects on Earth. For example, a rocket launch could be described in terms of the position of the rocket with respect to Earth as a whole. On the other...
Position and Displacement01:31

Position and Displacement

The position of an object defines its location relative to a convenient frame of reference at any particular time. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described. Earth is often used as a frame of reference, and we often describe the position of an object as it relates to stationary objects on Earth. For example, a rocket launch could be described in terms of the position of the rocket with respect to Earth as a whole. On the other...
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...

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Related Experiment Video

Updated: May 13, 2026

Harmonic Nanoparticles for Regenerative Research
09:23

Harmonic Nanoparticles for Regenerative Research

Published on: May 1, 2014

Omnidirectional displacements for deformable surfaces.

Dagmar Kainmueller1, Hans Lamecker, Markus O Heller

  • 1Zuse Institute Berlin, Berlin, Germany. kainmueller@zib.de

Medical Image Analysis
|March 26, 2013
PubMed
Summary
This summary is machine-generated.

Omnidirectional displacements for deformable surfaces (ODDS) enable more accurate 3D image segmentation, especially in high-curvature areas. A faster hybrid method, fastODDS, improves efficiency and handles multiple object segmentation.

Related Experiment Videos

Last Updated: May 13, 2026

Harmonic Nanoparticles for Regenerative Research
09:23

Harmonic Nanoparticles for Regenerative Research

Published on: May 1, 2014

Area of Science:

  • Medical image analysis and computational geometry.
  • Development of advanced deformable surface models for 3D segmentation.

Background:

  • Deformable surface models, often triangular meshes, are crucial for image segmentation.
  • Traditional methods using linear vertex displacements (e.g., surface normals) fail in high-curvature regions, limiting segmentation accuracy.
  • This limitation prevents achieving certain deformations necessary for accurate boundary fitting.

Purpose of the Study:

  • To introduce Omnidirectional Displacements for Deformable Surfaces (ODDS) to overcome limitations of linear displacements in image segmentation.
  • To develop a computationally efficient hybrid approach, fastODDS, addressing runtime and memory constraints of ODDS.
  • To evaluate the performance of ODDS and fastODDS in segmenting complex anatomical structures, particularly in high-curvature regions.

Main Methods:

  • Proposed ODDS, allowing vertices to move within a spherical region, enabling globally optimal deformations under local constraints.
  • Developed fastODDS, a hybrid method improving runtime and reducing memory requirements compared to ODDS.
  • Conducted experiments on synthetic data to demonstrate theoretical benefits and evaluated on clinical image data (mandible, hip bones) for quantitative assessment.

Main Results:

  • ODDS theoretically allows for more complete deformations, especially in areas where linear methods fail.
  • fastODDS demonstrated improved runtime and reduced memory usage while maintaining segmentation accuracy.
  • Both methods showed effectiveness in segmenting high-curvature regions like mandibular coronoid processes and acetabular rims, outperforming traditional approaches.

Conclusions:

  • ODDS provides a robust framework for deformable surface modeling in image segmentation, particularly for complex geometries.
  • fastODDS offers a practical and efficient solution for accurate 3D segmentation, including simultaneous multi-object segmentation.
  • The proposed methods significantly enhance segmentation accuracy in challenging anatomical regions, advancing medical image analysis.