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A Modeling and Simulation Method for Preliminary Design of an Electro-Variable Displacement Pump
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Spiral trajectory design: a flexible numerical algorithm and base analytical equations.

James G Pipe1, Nicholas R Zwart

  • 1Barrow Neurological Institute, Phoenix, Arizona, USA.

Magnetic Resonance in Medicine
|February 27, 2013
PubMed
Summary
This summary is machine-generated.

A new numerical algorithm simplifies designing spiral magnetic resonance imaging (MRI) trajectories. This method allows for explicit radial undersampling definition and provides analytical characterizations for base spiral trajectories.

Keywords:
MRIspiraltrajectory

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Area of Science:

  • Magnetic Resonance Imaging (MRI)
  • Medical Imaging Physics
  • Biomedical Engineering

Background:

  • Spiral MRI trajectories offer advantages but are challenging to design.
  • Efficient k-space traversal is crucial for advanced MRI techniques.

Purpose of the Study:

  • To present a flexible numerical algorithm for designing spiral MRI trajectories.
  • To provide analytical expressions for characterizing base spiral trajectories.

Main Methods:

  • Developed a numerical algorithm for trajectory design based on radial undersampling.
  • Derived gradient waveform expressions considering slew and amplitude limits.
  • Obtained analytical expressions for approximating spiral trajectories and their characteristics.

Main Results:

  • The numerical method successfully generated desired undersampling patterns and met slew/amplitude limits.
  • Numerical and analytical results for base Archimedean spirals showed good agreement.
  • Publicly available C source code facilitates algorithm implementation.

Conclusions:

  • A versatile numerical algorithm for spiral MRI trajectory design has been developed.
  • Approximate analytical formulas aid in characterizing these trajectories.
  • The algorithm and formulas enhance the practical application of spiral MRI.