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Open AccessJournal ArticleDOI

Robust Rician noise estimation for MR images.

TLDR
The main advantage of this object-based method is its robustness to background artefacts such as ghosting, and within the validation on real data, the proposed method obtained very competitive results compared to the methods under study.
About
This article is published in Medical Image Analysis.The article was published on 2010-08-01 and is currently open access. It has received 229 citations till now. The article focuses on the topics: Gaussian noise & Noise measurement.

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Citations
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Journal ArticleDOI

Patch-based segmentation using expert priors: application to hippocampus and ventricle segmentation.

TL;DR: Inspired by recent work in image denoising, the proposed nonlocal patch-based label fusion produces accurate and robust segmentation in quantitative magnetic resonance analysis.
Journal ArticleDOI

Diffusion MRI noise mapping using random matrix theory.

TL;DR: To estimate the spatially varying noise map using a redundant series of magnitude MR images, a random number generator is used to estimate the signal-to- Noise ratio.
Journal ArticleDOI

Diffusion Weighted Image Denoising Using Overcomplete Local PCA

TL;DR: This new filter reduces random noise in multicomponent DWI by locally shrinking less significant Principal Components using an overcomplete approach and is compared with state-of-the-art methods using synthetic and real clinical MR images, showing improved performance in terms of denoising quality and estimation of diffusion parameters.
Journal ArticleDOI

New methods for MRI denoising based on sparseness and self-similarity.

TL;DR: Two new methods for the three-dimensional denoising of magnetic resonance images that exploit the sparseness and self-similarity properties of the images are proposed, making them usable in most clinical and research settings.
Journal ArticleDOI

Prediction of Alzheimer's disease in subjects with mild cognitive impairment from the ADNI cohort using patterns of cortical thinning.

TL;DR: The results show that one needs to be careful when designing training, testing and validation schemes to ensure that datasets used to build the predictive models are not used in testing and validate, and improve prediction accuracies of conversion from MCI to AD.
References
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Some methods for classification and analysis of multivariate observations

TL;DR: The k-means algorithm as mentioned in this paper partitions an N-dimensional population into k sets on the basis of a sample, which is a generalization of the ordinary sample mean, and it is shown to give partitions which are reasonably efficient in the sense of within-class variance.
Journal ArticleDOI

A theory for multiresolution signal decomposition: the wavelet representation

TL;DR: In this paper, it is shown that the difference of information between the approximation of a signal at the resolutions 2/sup j+1/ and 2 /sup j/ (where j is an integer) can be extracted by decomposing this signal on a wavelet orthonormal basis of L/sup 2/(R/sup n/), the vector space of measurable, square-integrable n-dimensional functions.
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De-noising by soft-thresholding

TL;DR: The authors prove two results about this type of estimator that are unprecedented in several ways: with high probability f/spl circ/*/sub n/ is at least as smooth as f, in any of a wide variety of smoothness measures.
Journal ArticleDOI

Ideal spatial adaptation by wavelet shrinkage

TL;DR: In this article, the authors developed a spatially adaptive method, RiskShrink, which works by shrinkage of empirical wavelet coefficients, and achieved a performance within a factor log 2 n of the ideal performance of piecewise polynomial and variable-knot spline methods.
Journal ArticleDOI

Mathematical analysis of random noise

TL;DR: In this paper, the authors used the representations of the noise currents given in Section 2.8 to derive some statistical properties of I(t) and its zeros and maxima.
Related Papers (5)
Frequently Asked Questions (10)
Q1. What are the contributions mentioned in the paper "Robust rician noise estimation for mr images" ?

In this paper, a new object-based method to estimate noise in magnitude MR images is proposed. In this work, the adaptation of MAD operator for Rician noise is performed by using only the wavelet coefficients corresponding to the object and by correcting the estimation with an iterative scheme based on the SNR of the image. A quantitative validation on synthetic phantom with and without artefacts is presented. The impact of the accuracy of noise estimation on the performance of a denoising filter is also studied. 

In future work, the proposed approach should be adapted to multi-channels signal acquisitions ( noncentral χ-distribution ) [ 4,21 ] and for images with non stationary noise such as those attributed to parallel imaging ( i. e. GRAPPA or SENSE ). The multi-channels signal acquisitions are becoming more often used during clinical acquisitions and the investigation of methods dedicated to these images should be further investigated. 

Due to the additional computational burden and memory requirement needed by DTWT compared to WT, especially in 3D, the authors have chosen to use classical WT in the proposed method. 

The capacity of the wavelet transforms to distinguish between noise and structure has been used in denoising methods to remove or reduce the coefficients corresponding to the noise components over the detailed sub-bands [14,15]. 

The multi-channels signal acquisitions are becoming more oftenused during clinical acquisitions and the investigation of methods dedicated to these images should be further investigated. 

The ML method proposed by Sijbers et al. tends to overestimate the noise variance as the noise power increases or when ghosting artefacts are added. 

A common manner to measure the Rician noise variance in magnitude MR images with large enough background areas is to estimate it from the mode of the histogram [36–38]. 

In MR image analysis, the estimation of the noise level in an image is a mandatory step that must be addressed to assess the quality of the analysis and the consistency of the image processing technique. 

The first is a method proposed by Sijbers et al. [37] which is based on the maximum likelihood estimation principle over a partial histogram Hp. 

The resulting iterative correction scheme can be written as:θt = √ ξ(θt−1) ( 1 +mo σ̂) − 2 (9)where mo is the mean signal of the object and σ̂ the first estimation from MAD estimator.