Voxel-shift and interpolation for hadamard-encoded MR images

Area of Science:

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

Background:

• Fourier gradient phase-encoding and Hadamard radio-frequency encoding are established spatial localization techniques in MRI.
• Hadamard encoding historically lacked postprocessing algorithms like voxel-shift and interpolation, hindering its application.
• This disadvantage limited Hadamard encoding's comparative performance and widespread adoption.

Purpose of the Study:

• To present a novel method for applying voxel-shift and interpolation to Hadamard-encoded data.
• To theoretically and experimentally validate the similarities between Hadamard and Fourier encoding operations.
• To address the limitations of Hadamard encoding and enhance its utility in MRI.

Main Methods:

• Development of a voxel-shift and interpolation algorithm specifically for Hadamard-encoded MRI data.
• Theoretical analysis comparing the mathematical principles of voxel manipulation in both encoding methods.
• Experimental validation using phantom or in vivo imaging to demonstrate the algorithm's efficacy.

Main Results:

• Successful implementation of voxel-shift and interpolation for Hadamard-encoded data.
• Demonstration of theoretical and experimental similarities in postprocessing operations between Hadamard and Fourier encoding.
• Quantification of the improvements or comparable performance achieved by the new method.

Conclusions:

• The developed method effectively enables voxel-shift and interpolation for Hadamard-encoded MRI.
• Hadamard encoding, with this enhancement, shows comparable postprocessing characteristics to Fourier encoding.
• This advancement has the potential to broaden the applicability and improve the performance of Hadamard encoding techniques in MRI.