Realistic analytical phantoms for parallel magnetic resonance imaging

Area of Science:

• Medical Imaging
• Computational Science

Background:

• Quantitative validation of MRI reconstruction algorithms relies on accurate data.
• Rasterized simulations introduce aliasing, compromising reconstruction performance assessment.

Purpose of the Study:

• Introduce analytical simulation tools for parallel magnetic resonance imaging (pMRI).
• Enable the creation of realistic phantoms for algorithm validation.
• Address limitations of existing rasterized simulation methods.

Main Methods:

• Develop analytical simulation tools for pMRI.
• Create phantoms with diverse geometric boundaries (ellipses, splines, Bézier curves, polygons).
• Incorporate channel sensitivity models into simulations.
• Derive closed-form solutions for involved Fourier transforms.

Main Results:

• Analytical formulations provide well-defined spatial and k-space data.
• Demonstrated bias in rasterized simulations (inverse-crime) compared to analytical methods.
• Validated the proposed simulation implementation through experiments.

Conclusions:

• Analytical simulations offer a reliable alternative to rasterized methods for pMRI validation.
• The developed tools and phantom designs improve the accuracy of reconstruction algorithm assessment.
• A software package is provided to facilitate realistic phantom design and simulations.