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Related Concept Videos

Spherical Coordinates01:23

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Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
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Viscous forces, like friction, are intermolecular forces that resist the relative motion of molecules over each other. When a solid body moves through a liquid, viscous forces drag it in the opposite direction. The force's magnitude depends on the solid's shape and size, as well as its speed and the liquid's coefficient of viscosity, density and temperature.
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Gauss's Law: Cylindrical Symmetry01:20

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A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
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A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
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German physicist Wilhelm Röntgen (1845–1923) was experimenting with electrical current when he discovered that a mysterious and invisible "ray" would pass through his flesh but leave an outline of his bones on a screen coated with a metal compound. In 1895, Röntgen made the first durable record of the internal parts of a living human: an "X-ray" image (as it came to be called) of his wife’s hand. Scientists worldwide quickly began their own experiments with...
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Related Experiment Video

Updated: Jan 6, 2026

Determining 3D Flow Fields via Multi-camera Light Field Imaging
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Variable density and anisotropic field-of-view for 3D Stack-of-Stars radial imaging.

Joao Tourais1,2,3, Guruprasad Krishnamoorthy1,2, Jouke Smink2

  • 1Department of Biomedical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands.

Magma (New York, N.Y.)
|October 15, 2025
PubMed
Summary
This summary is machine-generated.

A new non-iterative method for elliptical field-of-view (FOV) in radial imaging, specifically for Stack-Of-Stars (SOS) MRI, significantly reduces scan time by up to 45% while maintaining image quality. This approach also minimizes aliasing artifacts, improving diagnostic accuracy.

Keywords:
Anisotropic FOVEllipticalRadial imagingStack-Of-StarsVariable density

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Area of Science:

  • Medical Imaging
  • Magnetic Resonance Imaging (MRI)
  • Image Reconstruction

Background:

  • Radial imaging techniques like Stack-Of-Stars (SOS) are crucial for accelerated MRI acquisition.
  • Optimizing the field-of-view (FOV) and data sampling in radial imaging is essential for reducing scan times and mitigating artifacts.
  • Current methods for applying non-circular FOVs in radial imaging can be complex and iterative.

Purpose of the Study:

  • To develop and evaluate a novel non-iterative method for implementing an elliptical field-of-view (FOV) in radial MRI.
  • To assess the efficacy of this elliptical FOV method for Stack-Of-Stars (SOS) imaging with variable radial density in the k_z direction.
  • To investigate the impact of anisotropic FOV and variable density sampling on scan time reduction and aliasing artifacts.

Main Methods:

  • Derived new analytical expressions to calculate radial profile angles for elliptical FOVs, with and without golden angle sampling.
  • Evaluated an elliptical FOV with a 1:0.5 major-to-minor axis ratio, alongside variable density SOS.
  • Utilized point spread function analysis, phantom imaging, and in vivo pelvic imaging for comprehensive assessment.

Main Results:

  • Variable density in k_z direction reduced SOS scan time by 20% with comparable aliasing artifacts.
  • Anisotropic FOV decreased scan time by 31% for objects with matching anisotropy, showing similar aliasing at low undersampling.
  • Combining both techniques achieved a 45% scan time reduction.
  • When scan time was identical to conventional SOS, both variable density and anisotropic FOV demonstrated reduced aliasing artifacts.

Conclusions:

  • Variable density and anisotropic FOV are effective strategies for reducing scan time and/or aliasing artifacts in SOS imaging.
  • The developed analytical expressions for elliptical FOV will enable further research into anisotropic FOV radial imaging techniques.
  • This non-iterative approach offers a practical advancement for accelerated radial MRI acquisition.