Characterization, prediction, and correction of geometric distortion in MR images

<jats:p>The work presented herein describes our methods and results for predicting, measuring and correcting geometric distortions in a <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/mp2331-math-0002.png" xlink:title="urn:x-wiley:0094-2405:media:mp2331:mp2331-math-0002" /> clinical magnetic resonance (MR) scanner for the purpose of image guidance in radiation treatment planning. Geometric inaccuracies due to both inhomogeneities in the background field and nonlinearities in the applied gradients were easily visualized on the MR images of a regularly structured three‐dimensional (3D) grid phantom. From a computed tomography scan, the locations of just under <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/mp2331-math-0003.png" xlink:title="urn:x-wiley:0094-2405:media:mp2331:mp2331-math-0003" /> control points within the phantom were accurately determined in three dimensions using a <jats:sc>MATLAB</jats:sc>‐based computer program. MR distortion was then determined by measuring the corresponding locations of the control points when the phantom was imaged using the MR scanner. Using a reversed gradient method, distortions due to gradient nonlinearities were separated from distortions due to inhomogeneities in the background <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/mp2331-math-0004.png" xlink:title="urn:x-wiley:0094-2405:media:mp2331:mp2331-math-0004" /> field. Because the various sources of machine‐related distortions can be individually characterized, distortions present in other imaging sequences (for which 3D distortion cannot accurately be measured using phantom methods) can be predicted negating the need for individual distortion calculation for a variety of other imaging sequences. Distortions were found to be primarily caused by gradient nonlinearities and maximum image distortions were reported to be less than those previously found by other researchers at <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/mp2331-math-0005.png" xlink:title="urn:x-wiley:0094-2405:media:mp2331:mp2331-math-0005" />. Finally, the image slices were corrected for distortion in order to provide geometrically accurate phantom images.</jats:p>