Statistics of Medical Imaging
By Tianhu Lei
Published December 19th 2011 by Chapman and Hall/CRC – 438 pages
Description
Statistical investigation into technology not only provides a better understanding of the intrinsic features of the technology (analysis), but also leads to an improved design of the technology (synthesis). Physical principles and mathematical procedures of medical imaging technologies have been extensively studied during past decades. However, less work has been done on their statistical aspect. Filling this gap, this book provides a theoretical framework for statistical investigation into medical technologies. Rather than offer detailed descriptions of statistics of basic imaging protocols of X-ray CT and MRI, the book presents a method to conduct similar statistical investigations into more complicated imaging protocols.
Reviews
"Statistics of Medical Imaging is an in-depth and mathematical account of the statistics associated with medical imaging technologies, particularly x-ray CT and MR imaging. The text is logically structured into a review of mathematics and imaging principles, and then it transitions to describing the statistics of CT and MR imaging and images and image analysis models. … the text is successful at developing a structured argument for the statistical properties with supporting background physics, mathematical proofs, and integrated statistical models for both x-ray CT and MRI."
—Camille Palmer, Health Physics-The Radiation Protection Journal, March 2013
"This is a good reference for graduate students and researchers in signal processing and electrical and systems engineering. … The author has demonstrated a mastery and thorough knowledge of this subject and has done a superb job of describing CT and MR image and imaging statistics systematically. The book is unique in the targeted signal processing literature, rationally illustrating the steps of analyzing CT and MR images statistically and providing an evaluation tool. The equation derivations are written in a rigorous way so that researchers and students in signal processing can understand the basic principles. With some background knowledge, researchers can also perform statistical analysis and evaluate the statistics on CT and MR images and imaging processes."
—Teh Lin, Doody’s Review Service, 2013
Contents
Introduction
Data Flow and Statistics
Imaging and Image Statistics
Statistical Image Analysis
Motivation and Organization
X-ray CT Physics and Mathematics
Introduction
Photon Emission, Attenuation, and Detection
Attenuation Coefficient
Projections
Mathematical Foundation of Image Reconstruction
Fourier Slice theorem
Image Reconstruction
MRI Physics and Mathematics
Introduction
Nuclear Spin and Magnetic Moment
Alignment and Precession
Macroscopic Magnetization
Resonance and Relaxation
Bloch Equation and Its Solution
Excitation
Induction
k-Space and k-Space Sample
Image Reconstruction
Echo Signal
Non-diffraction Computed Tomography
Introduction
Interaction between EM Wave and Object
Inverse Scattering Problem
Non-diffraction Computed Tomography
Statistics of X-ray CT Imaging
Introduction
Statistics of Photon Measurements
Statistics of Projections
Statistical Interpretation of X-ray CT Image Reconstruction
Statistics of X-ray CT Image
Introduction
Statistics of the Intensity of a Single Pixel
Statistics of the Intensities of Two Pixels
Statistics of the Intensities of a Group of Pixels
Statistics of MR Imaging
Introduction
Statistics of Macroscopic Magnetizations
Statistics of MR Signals
Statistics of k-Space Samples
Statistical Interpretation of MR Image Reconstruction
Statistics of MR Image
Introduction
Statistics of the Intensity of a Single Pixel
Statistics of the Intensities of Two Pixels
Statistics of the Intensities of a Group of Pixels
Discussion and Remarks
Stochastic Image Models
Introduction
Stochastic Model I
Stochastic Model II
Discussion
Statistical Image Analysis – I
Introduction
Detection of Number of Image Regions
Estimation of Image Parameters
Classification of Pixels
Statistical Image Analysis
Statistical Image Analysis – II
Introduction
Detection of the Number of Image Regions
Estimation of Image Parameters
Classification of Pixels
Statistical Image Analysis
Performance Evaluation of Image Analysis Methods
Introduction
Performance of the iFNM Model-Based Image Analysis Method
Performance of the cFNM Model-Based Image Analysis Method
Index
Author Bio
Tianhu Lei is an associate professor at the University of Pittsburgh. He has previously worked at the University of Maryland, the University of Pennsylvania, and the Children’s Hospital of Philadelphia. He earned a Ph.D. in electric and system engineering from the University of Pennsylvania.
Name: Statistics of Medical Imaging (Hardback) – Chapman and Hall/CRC
Description: By Tianhu Lei. Statistical investigation into technology not only provides a better understanding of the intrinsic features of the technology (analysis), but also leads to an improved design of the technology (synthesis). Physical principles and mathematical procedures...
Categories: Statistics for the Biological Sciences, Biomedical Engineering, Image Processing
