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Efficient Computation of PDF-Based Characteristics from Diffusion MR Signal
[chapter]
2008
Lecture Notes in Computer Science
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The approach relies on the approximation of the MR signal by a series expansion based on Spherical Harmonics and Laguerre-Gaussian functions, followed by a simple projection step that is efficiently done ...
We present a general method for the computation of PDFbased characteristics of the tissue micro-architecture in MR imaging. ...
Estimation of PDF-Based Characteristics The estimation of the PDF from Eq.(1) is a trade-off between the number of samples and the prior on the MR signal, so we introduce an orthonormal basis based on ...
doi:10.1007/978-3-540-85990-1_9
fatcat:w6xaj6kyezcfhhumbe2cclmlpm
Efficient computation of PDF-based characteristics from diffusion MR signal
2008
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We present a general method for the computation of PDF-based characteristics of the tissue micro-architecture in MR imaging. ...
The approach relies on the approximation of the MR signal by a series expansion based on Spherical Harmonics and Laguerre-Gaussian functions, followed by a simple projection step that is efficiently done ...
Estimation of PDF-Based Characteristics The estimation of the PDF from Eq.(1) is a trade-off between the number of samples and the prior on the MR signal, so we introduce an orthonormal basis based on ...
pmid:18982591
fatcat:lnsvr5jnsbe25lddxwpatu52qi
Review on: Image De-noising using Bilateral Filter with Multilinear Discriminant Analysis and SVM
2015
International Journal of Computer Applications
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The quantitative analysis based on the standard metrics like peak signal-to-noise ratio and mean structural similarity index matrix. ...
It improves the denoising efficiency. It also preserves the fine structures of the image. It also reduces the bias due to Rician noise. Thus we can preserve the quality of image. ...
Thus main advantage of this method is its capability to compute signals with a smooth change in the intensity value. ...
doi:10.5120/21030-2887
fatcat:kz22udymwnf5zjeawxwdqaqrwa
Adaptive anisotropic noise filtering for magnitude MR data
1999
Magnetic Resonance Imaging
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Conventional noise filtering schemes applied to magnitude magnetic resonance (MR) images tacitly assume Gauss distributed noise. Magnitude MR data, however, are Rice distributed. ...
Not incorporating this knowledge leads inevitably to biased results, in particular when applying such filters in regions with low signal-to-noise ratio. ...
Acknowledgements This work was financially supported by the Flemish institute for the promotion of scientific and technological research in the industry (IWT), Brussels. ...
doi:10.1016/s0730-725x(99)00088-0
pmid:10610003
fatcat:xx6me53o4jekbib7ltcd4jqwrm
Adaptive anisotropic noise filtering for magnitude MR data
1999
Medical Imaging 1999: Image Processing
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Conventional noise filtering schemes applied to magnitude magnetic resonance (MR) images tacitly assume Gauss distributed noise. Magnitude MR data, however, are Rice distributed. ...
Not incorporating this knowledge leads inevitably to biased results, in particular when applying such filters in regions with low signal-to-noise ratio. ...
Acknowledgements This work was financially supported by the Flemish institute for the promotion of scientific and technological research in the industry (IWT), Brussels. ...
doi:10.1117/12.348541
dblp:conf/miip/SijbersDVLD99
fatcat:5sd5swvmnbhjxbbvltoou2hamq
A CONTINUOUS MIXTURE OF TENSORS MODEL FOR DIFFUSION-WEIGHTED MR SIGNAL RECONSTRUCTION
2007
2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro
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In this paper, we present a novel statistical model which describes the diffusion-attenuated MR signal by the Laplace transform of a probability distribution over symmetric positive definite matrices. ...
We also develop an efficient scheme for reconstructing the multiple fiber bundles from the DW-MRI measurements. ...
The simulations employed the exact form of the MR signal attenuation from particles diffusing inside cylindrical boundaries [13] . ...
doi:10.1109/isbi.2007.356966
pmid:19936041
pmcid:PMC2779041
dblp:conf/isbi/JianVOCM07
fatcat:bkdggj3b2jg3pocah5ew4knd4i
Symmetric Positive-Definite Cartesian Tensor Orientation Distribution Functions (CT-ODF)
[chapter]
2010
Lecture Notes in Computer Science
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A novel method for estimating a field of orientation distribution functions (ODF) from a given set of DW-MR images is presented. ...
We quantitatively evaluate our method using simulated DW-MR images as well as a real brain dataset from a post-mortem porcine brain. ...
MR signals. ...
doi:10.1007/978-3-642-15705-9_71
fatcat:llbampkezzfcnavrw7g5op66cq
Accelerated Diffusion Spectrum Imaging with Compressed Sensing Using Adaptive Dictionaries
[chapter]
2012
Lecture Notes in Computer Science
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Further, we demonstrate that a dictionary trained using pdfs from a single slice of a particular subject generalizes well to other slices from the same subject, as well as to slices from another subject ...
It is possible to accelerate DSI by sub-Nyquist sampling of the q-space followed by nonlinear reconstruction to estimate the diffusion probability density functions (pdfs). ...
While prespecified transformations such as wavelets and spatial gradients yield sparse signal representation, tailoring the sparsifying transform based on the characteristics of the particular signal type ...
doi:10.1007/978-3-642-33454-2_1
fatcat:gd4pvtuzqzeypon35w7cafuguq
Characterization and propagation of uncertainty in diffusion-weighted MR imaging
2003
Magnetic Resonance in Medicine
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This technique is applied to the estimation of parameters in the diffusion tensor model, and also to a simple partial volume model of diffusion. ...
A fully probabilistic framework is presented for estimating local probability density functions on parameters of interest in a model of diffusion. ...
ACKNOWLEDGMENTS The authors thank Claudia Wheeler-Kingshott, Phil Boulby, and Gareth Barker from the Institute of Neurology, Queen's Square, London, and the UK Multiple Sclerosis Society for providing ...
doi:10.1002/mrm.10609
pmid:14587019
fatcat:tycnav25yve4nontjmpl42jrza
Removal of intensity bias in magnitude spin-echo MRI images by nonlinear diffusion filtering
2004
Medical Imaging 2004: Image Processing
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The incorporation of the Rice PDF into a noise filtering procedure can significantly complicate the method both algorithmically and computationally. ...
In our proposed method, the separate diffusion processes are coupled through combined diffusion coefficients determined from the image magnitude. ...
Such noise could be efficiently eliminated using filtering procedures based on spatial averaging. ...
doi:10.1117/12.535899
dblp:conf/miip/SamsonovJ04
fatcat:25htf4yyjvc4zpcv6irc3agr4y
Optimal diffusion MRI acquisition for fiber orientation density estimation: An analytic approach
2009
Human Brain Mapping
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An important challenge in the design of diffusion MRI experiments is how to optimize statistical efficiency, i.e., the accuracy with which parameters can be estimated from the diffusion data in a given ...
In model-based spherical deconvolution analysis, the quantity of interest is the fiber orientation density (FOD). ...
Diffusion spectrum imaging (DSI) provides a direct quantification of the water diffusion PDF by exploiting the Fourier relationship between the PDF and the normalized diffusion signal (Wedeen, et al. ...
doi:10.1002/hbm.20799
pmid:19603409
pmcid:PMC3367885
fatcat:qgvkq4x3nzgnvn62ejse52dgem
Accelerated MR diffusion tensor imaging using distributed compressed sensing
2013
Magnetic Resonance in Medicine
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Purpose: Diffusion tensor imaging (DTI) is known to suffer from long acquisition time in the orders of several minutes or even hours. ...
Reconstruction performance with varied signal-to-noise ratio and acceleration factors were evaluated by root-mean-square error and maps of reconstructed DTI indices. ...
By exploiting the redundancy across multiple signals, acceleration beyond only using sparsity of a single signal could be achieved more efficiently (44, 45) . ...
doi:10.1002/mrm.24721.
pmid:23494999
fatcat:764txzncbjhchabuqzivdlvydu
A novel tensor distribution model for the diffusion-weighted MR signal
2007
NeuroImage
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In this paper, we present a novel statistical model for diffusion-weighted MR signal attenuation which postulates that the water molecule diffusion can be characterized by a continuous mixture of diffusion ...
An interesting observation is that this continuous mixture and the MR signal attenuation are related through the Laplace transform of a probability distribution over symmetric positive definite matrices ...
Introduction Diffusion-weighted imaging (DWI) is a magnetic resonance (MR) technique exploiting the sensitivity of the MR signal to the Brownian motion of water molecules. ...
doi:10.1016/j.neuroimage.2007.03.074
pmid:17570683
pmcid:PMC2576290
fatcat:6anah7gnebapphw37kgdnkucdi
Denoising of DT-MR Images with an Iterative PCA
2015
Procedia Computer Science
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Currently most of the clinical application uses Diffusion Tensor-MR Images for tracking neural fibres by extracting features from the images. ...
Noise in DT-MR Images make fibre tracking and disease diagnosing tougher. So our work aims to denoise the Diffusion Tensor MR images with better visual quality. ...
Sandhya Harikumar, and Mrs. Geetha M, Department of Computer Science for their valuable suggestions. ...
doi:10.1016/j.procs.2015.08.079
fatcat:dptqhcgwt5h23a6qos5oh5tdca
Probing white-matter microstructure with higher-order diffusion tensors and susceptibility tensor MRI
2013
Frontiers in Integrative Neuroscience
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Diffusion properties were quantified with the diffusion tensor model and also with the higher order tensor model based on the cumulant expansion. ...
It is believed that diffusion MRI and susceptibility MRI provide complementary information of the microstructure of white matter. ...
., for providing the phantom diffusion data. The study was supported in part by the National Institutes of Health through grant R00EB007182. ...
doi:10.3389/fnint.2013.00011
pmid:23507987
pmcid:PMC3589706
fatcat:w26yna37mfbvrdky7yyyfqxfau
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