Statistical Analysis of Noise in MRI

Modeling, Filtering and Estimation

Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero (Autoren)

Buch | Softcover

XXI, 327 Seiten

2018 | Softcover reprint of the original 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-82000-2 (ISBN)

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This unique text presents a comprehensive review of methods for modeling signal and noise in magnetic resonance imaging (MRI), providing a systematic study, classifying and comparing the numerous and varied estimation and filtering techniques. Features: provides a complete framework for the modeling and analysis of noise in MRI, considering different modalities and acquisition techniques; describes noise and signal estimation for MRI from a statistical signal processing perspective; surveys the different methods to remove noise in MRI acquisitions from a practical point of view; reviews different techniques for estimating noise from MRI data in single- and multiple-coil systems for fully sampled acquisitions; examines the issue of noise estimation when accelerated acquisitions are considered, and parallel imaging methods are used to reconstruct the signal; includes appendices covering probability density functions, combinations of random variables used to derive estimators, and usefulMRI datasets.

The Problem of Noise in MRI.- Part I: Noise Models and the Noise Analysis Problem.- Acquisition and Reconstruction of Magnetic Resonance Imaging.- Statistical Noise Models for MRI.- Noise Analysis in MRI: Overview.- Noise Filtering in MRI.- Part II: Noise Analysis in Non-Accelerated Acquisitions.- Noise Estimation in the Complex Domain.- Noise Estimation in Single-Coil MR Data.- Noise Estimation in Multiple-Coil MR Data.- Parametric Noise Analysis from Correlated Multiple-Coil MR Data.- Part III: Noise Estimators in pMRI.- Parametric Noise Analysis in Parallel MRI.- Blind Estimation of Non-Stationary Noise in MRI.- Appendix A: Probability Distributions and Combination of Random Variables.- Appendix B: Variance Stabilizing Transformation.- Appendix C: Data Sets Used in the Experiments.

"The book is presented in a simple and lucid manner, starting with the basics of MRI noise and its analysis with simple models, progressing to an analysis using complex models and the noise issues in multi-coil and parallel acquisition schemes. Overall the book is self-contained to help the beginners ... ." (Pramod Kumar Pisharady, IAPR Newsletter , Vol. 40 (2), 2018)

“The book is presented in a simple and lucid manner, starting with the basics of MRI noise and its analysis with simple models, progressing to an analysis using complex models and the noise issues in multi-coil and parallel acquisition schemes. Overall the book is self-contained to help the beginners … .” (Pramod Kumar Pisharady, IAPR Newsletter , Vol. 40 (2), 2018)

Erscheint lt. Verlag	31.5.2018
Zusatzinfo	XXI, 327 p. 172 illus., 99 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	5969 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	estimation • MRI • Noise Modeling • parallel imaging • Signal Processing
ISBN-10	3-319-82000-1 / 3319820001
ISBN-13	978-3-319-82000-2 / 9783319820002
Zustand	Neuware