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Kim, Yunho
Mathematical Imaging Lab
Research Interests
  • Optimization, inverse problems, convex analysis, calculus of variations, partial differential equations, computational mathematics, medical/biomedical imaging

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Intensity Nonuniformity Correction for Brain MR Images with Known Voxel Classes

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Title
Intensity Nonuniformity Correction for Brain MR Images with Known Voxel Classes
Author
Kim, YunhoTagare, Hemant D.
Issue Date
2014-03
Publisher
SIAM PUBLICATIONS
Citation
SIAM JOURNAL ON IMAGING SCIENCES, v.7, no.1, pp.528
Abstract
Intensity nonuniformity in magnetic resonance (MR) images, represented by a smooth and slowly varying function, is a typical artifact that is a nuisance for many image processing methods. To eliminate the artifact, we have to estimate the nonuniformity as a smooth and slowly varying function and factor it out from the given data. We reformulate the problem as a problem of finding a unique smooth function in a particular set of piecewise smooth functions and propose a variational method for finding it. We deliver the main idea using a simple one-dimensional example first and provide a thorough analysis of the problem in a three-phase scenario in three dimensions whose application can be found in the brain MR images. Experiments with synthetic and real MR images and a comparison with a state-of-the-art method, N3, show our algorithm’s satisfactory performance in estimating the nonuniformity with and without noise. An automated procedure is also proposed for practical use.
URI
https://scholarworks.unist.ac.kr/handle/201301/6701
URL
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84897496998
DOI
10.1137/130924688
ISSN
1936-4954
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MTH_Journal Papers
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