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  • © 2016

Statistical Analysis of Noise in MRI

Modeling, Filtering and Estimation

  • Provides comprehensive coverage of the field within a single, unified framework

  • Presents a unique overview of the various techniques for noise estimation, explaining which method is best applied for different scanners and types of data

  • Includes practical solutions for noise problems that can be directly implemented in MRI-related software

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eBook USD 139.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-39934-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 179.99
Price excludes VAT (USA)
Hardcover Book USD 179.99
Price excludes VAT (USA)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxi
  2. The Problem of Noise in MRI

    • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
    Pages 1-6
  3. Noise Models and the Noise Analysis Problem

    1. Front Matter

      Pages 7-7
    2. Acquisition and Reconstruction of Magnetic Resonance Imaging

      • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
      Pages 9-29
    3. Statistical Noise Models for MRI

      • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
      Pages 31-71
    4. Noise Analysis in MRI: Overview

      • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
      Pages 73-88
    5. Noise Filtering in MRI

      • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
      Pages 89-119
  4. Noise Analysis in Nonaccelerated Acquisitions

    1. Front Matter

      Pages 121-121
    2. Noise Estimation in the Complex Domain

      • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
      Pages 123-140
    3. Noise Estimation in Single-Coil MR Data

      • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
      Pages 141-171
    4. Noise Estimation in Multiple–Coil MR Data

      • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
      Pages 173-186
    5. Parametric Noise Analysis from Correlated Multiple-Coil MR Data

      • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
      Pages 187-207
  5. Noise Estimators in pMRI

    1. Front Matter

      Pages 209-209
    2. Parametric Noise Analysis in Parallel MRI

      • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
      Pages 211-228
    3. Blind Estimation of Non-stationary Noise in MRI

      • Santiago Aja-Fernández, Gonzalo Vegas-Sánchez-Ferrero
      Pages 229-274
  6. Back Matter

    Pages 275-327

About this book

This unique text/reference 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 drawn from more than ten years of research in this area.

Topics and 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, under different approaches and 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

This practically-focused work serves as a reference manual for researchers dealing with signal processing in MRI acquisitions, and is also suitable as a textbook for postgraduate students in engineering with an interest in medical image processing.

Dr. Santiago Aja-Fernández is an Associate Professor at the School of Telecommunications of the University of Valladolid, Spain. His other publications include the Springer title Tensors in Image Processing and Computer Vision. Dr. Gonzalo Vegas-Sánchez-Ferrero is a Research Fellow at Brigham and Women’s Hospital, and in the Applied Chest Imaging Laboratory of Harvard Medical School, Boston, MA, USA.

Keywords

  • MRI
  • Noise Modeling
  • Signal Processing
  • Parallel Imaging
  • Estimation

Reviews

“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)

Authors and Affiliations

  • University of Valladolid, Valladolid, Spain

    Santiago Aja-Fernández

  • Harvard Medical School, Boston, USA

    Gonzalo Vegas-Sánchez-Ferrero

Bibliographic Information

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-39934-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 179.99
Price excludes VAT (USA)
Hardcover Book USD 179.99
Price excludes VAT (USA)