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An introduction to the Fourier transform: relationship to MRI Gallagher TA; Nemeth AJ; Hacein-Bey LAJR Am J Roentgenol 2008[May]; 190 (5): 1396-405OBJECTIVE: The Fourier transform, a fundamental mathematic tool widely used in signal analysis, is ubiquitous in radiology and integral to modern MR image formation. Understanding MRI techniques requires a basic understanding of what the Fourier transform accomplishes. MR image encoding, filling of k-space, and a wide spectrum of artifacts are all rooted in the Fourier transform. CONCLUSION: This article illustrates these basic Fourier principles and their relationship to MRI.|*Fourier Analysis[MESH]|*Magnetic Resonance Imaging[MESH]|Artifacts[MESH]|Humans[MESH] |
