HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS		QUICK SEARCH:   [advanced] Author: Keyword(s): Year:  Vol:  Page:

This Article Figures Only Full Text Full Text (PDF) CME Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Similar articles in PubMed Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via Google Scholar Google Scholar Articles by Gallagher, T. A. Articles by Hacein-Bey, L. Search for Related Content PubMed PubMed Citation Articles by Gallagher, T. A. Articles by Hacein-Bey, L. Social Bookmarking                      What's this? Hotlight (NEW!) What's Hotlight?

An Introduction to the Fourier Transform: Relationship to MRI

¹ Department of Radiology, Loyola University Medical Center, 2160 S First Ave., Maywood, IL 60153.
² Present address: Department of Radiology, Northwestern University, Chicago, IL.

OBJECTIVE. 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.

Keywords: Fourier transform • Gibbs artifact • k-space

CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    What's this?