Statistical analysis of noise in MRI : modeling, filtering and estimation
著者
書誌事項
Statistical analysis of noise in MRI : modeling, filtering and estimation
Springer, c2016
- : hardcover
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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 useful MRI datasets.
目次
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
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