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The fast automatic algorithm for correction of MR bias field
Author(s) -
Milchenko Mikhail V.,
Pianykh Oleg S.,
Tyler John M.
Publication year - 2006
Publication title -
journal of magnetic resonance imaging
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.563
H-Index - 160
eISSN - 1522-2586
pISSN - 1053-1807
DOI - 10.1002/jmri.20695
Subject(s) - piecewise , multiplicative function , algorithm , basis (linear algebra) , computer science , image quality , imaging phantom , polynomial , constant (computer programming) , image (mathematics) , field (mathematics) , mathematics , basis function , artificial intelligence , physics , optics , mathematical analysis , geometry , pure mathematics , programming language
Abstract Purpose To develop a method for efficient automatic correction of slow‐varying nonuniformity in MR images. Materials and Methods The original MR image is represented by a piecewise constant function, and the bias (nonuniformity) field of an MR image is modeled as multiplicative and slow varying, which permits to approximate it with a low‐order polynomial basis in a “log‐domain.” The basis coefficients are determined by comparing partial derivatives of the modeled bias field with the original image. Results We tested the resulting algorithm named derivative surface fitting ( dsf ) on simulated images and phantom and real data. A single iteration was sufficient in most cases to produce a significant improvement to the MR image's visual quality. dsf does not require prior knowledge of intensity distribution and was successfully used on brain and chest images. Due to its design, dsf can be applied to images of any modality that can be approximated as piecewise constant with a multiplicative bias field. Conclusion The resulting algorithm appears to be an efficient method for fast correction of slow varying nonuniformity in MR images. J. Magn. Reson. Imaging 2006;. © 2006 Wiley‐Liss, Inc.