1999
DOI: 10.1109/42.811268
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Automated model-based bias field correction of MR images of the brain

Abstract: Abstract-We propose a model-based method for fully automated bias field correction of MR brain images. The MR signal is modeled as a realization of a random process with a parametric probability distribution that is corrupted by a smooth polynomial inhomogeneity or bias field. The method we propose applies an iterative expectation-maximization (EM) strategy that interleaves pixel classification with estimation of class distribution and bias field parameters, improving the likelihood of the model parameters at … Show more

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Cited by 538 publications
(439 citation statements)
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References 26 publications
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“…First, an expectation maximization segmentation (EMS) algorithm including correction for intensity inhomogeneity (31, 32) was applied to the T1w image with supplementary T2w image input, to separate skull, scalp, extracranial tissue, cerebellum, and brain stem (at the level of the diencephalon) from the rest of brain volume. The remaining brain volume was voxel-wise classified into fractions of cerebral white matter (WM), cortical gray matter (GM), and sulcal cerebrospinal fluid (CSF).…”
Section: Methodsmentioning
confidence: 99%
“…First, an expectation maximization segmentation (EMS) algorithm including correction for intensity inhomogeneity (31, 32) was applied to the T1w image with supplementary T2w image input, to separate skull, scalp, extracranial tissue, cerebellum, and brain stem (at the level of the diencephalon) from the rest of brain volume. The remaining brain volume was voxel-wise classified into fractions of cerebral white matter (WM), cortical gray matter (GM), and sulcal cerebrospinal fluid (CSF).…”
Section: Methodsmentioning
confidence: 99%
“…Van Leemput et al (13,14) extended the concept and developed automatic segmentation of MR images of normal brains by statistical classification, using an atlas prior for initialization and also for geometric constraints. A most recent extension detects brain lesions as outliers (15) and was successfully applied for detection of multiple sclerosis lesions.…”
Section: Introductionmentioning
confidence: 99%
“…This method builds on the previously published work done by Van Leemput, et al (13,14). Additionally, tumor and edema classes are added to the segmentation as was done by Moon et al (16).…”
Section: Introductionmentioning
confidence: 99%
“…The Lagrange multiplier is adopted to include the constraints into the optimization and the augmented objective function becomes (46) Taking the derivative of F with u ik , for p>1, we have (47) and (48) by applying , we have The concrete norm is required to derive the updated cluster prototype. Generally the norm is given by (51) where L is a positive definite matrix, by using (16), for Euclidean norm, we have L=I, the identity matrix.…”
Section: Resultsmentioning
confidence: 99%
“…Therfore, for efficiency, the choice of basis functions for approximating the bias field is important. The smooth basis functions can be splines 43, radial basis functions 15, or polynomials of different orders 47,48. Of all these choices, the polynomial basis functions are the simplest and are used in our studies.…”
Section: A Multi-spectral Adaptive Fcmmentioning
confidence: 99%