Keywords: Image Reconstruction, Image Reconstruction
Motivation: MR reconstruction using the direct pseudoinverse of the encoding matrix, which is a simple and versatile approach, has not been widely adopted clinically due to its perceived computational intractability.
Goal(s): To demonstrate the computational feasibility of generalized MR image reconstruction via direct pseudoinversion of the encoding matrix using high-end computational systems similar to modern MR reconstruction computers.
Approach: To test computational times required for direct pseudoinversion of various encoding matrices and for calculating relevant image metrics.
Results: SVD computation time scales with the ~1.4th power of the cardinality of the encoding matrix. Spatial-response-functions and noise matrices were also derived.
Impact: Demonstration of the current computational feasibility of generalized MR image reconstruction via direct pseudoinversion of the encoding matrix (Pinv-Recon), which is as a simple and versatile reconstruction approach able to incorporate a variety of encoding mechanisms and distortions.
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