Statistics of Medical Imaging

Chapman & Hall/CRC

Interdisciplinar y Statistics Series

Chapman & Hall/CRC

Interdisciplinar y Statistics Series

C8842

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 the statistical aspects of these techniques. Statistics

of Medical Imaging lls this gap and provides a theoretical framework for

statistical investigation into medical imaging technologies.

Features

• Describes physical principles and mathematical procedures of two

medical imaging techniques: X-ray CT and MRI

• Presents statistical properties of imaging data (measurements) at each

stage of the imaging processes of X-ray CT and MRI

• Demonstrates image reconstruction as a transform from a set of

random variables (imaging data) to another set of random variables

(image data)

• Presents statistical properties of image data (pixel intensities) at three

levels: a single pixel, any two pixels, and a group of pixels (a region)

• Provides two stochastic models for X-ray CT and MRI image in terms

of their statistics and two model-based statistical image analysis

methods

• Evaluates statistical image analysis methods in terms of their

detection, estimation, and classication performances

• Indicates that X-ray CT, MRI, PET and SPECT belong to a category of

imaging: the non-diffraction computed tomography

Rather than offering detailed descriptions of statistics of basic imaging

protocols of X-ray CT and MRI, this book provides a method to conduct

similar statistical investigations into more complicated imaging protocols.

STATISTICS OF

MEDICAL IMAGING

Tianhu Lei

Lei

Statistics

STATISTICS OF

MEDICAL IMAGING

C8842_Cover.indd 1 11/14/11 12:45 PM

STATISTICS OF

MEDICAL IMAGING

CHAPMAN & HALL/CRC

I n t e r d i s c i p l i n a r y S t a t i s t i c s S e r i e s

Series editors: N. Keiding, B.J.T. Morgan, C.K. Wikle, P. van der Heijden

Published titles

AN INVARIANT APPROACH TO S. Lele and J. Richtsmeier

STATISTICAL ANALYSIS OF SHAPES

ASTROSTATISTICS G. Babu and E. Feigelson

BAYESIAN ANALYSIS FOR Ruth King, Byron J. T. Morgan,

POPULATION ECOLOGY Olivier Gimenez, and

Stephen P. Brooks

BAYESIAN DISEASE MAPPING: Andrew B. Lawson

HIERARCHICAL MODELING IN SPATIAL

EPIDEMIOLOGY

BIOEQUIVALENCE AND S. Patterson and

STATISTICS IN CLINICAL B. Jones

PHARMACOLOGY

CLINICAL TRIALS IN ONCOLOGY, J. Crowley, S. Green,

SECOND EDITION and J. Benedetti

CLUSTER RANDOMISED TRIALS R.J. Hayes and L.H. Moulton

CORRESPONDENCE ANALYSIS M. Greenacre

IN PRACTICE, SECOND EDITION

DESIGN AND ANALYSIS OF D.L. Fairclough

QUALITY OF LIFE STUDIES

IN CLINICAL TRIALS, SECOND EDITION

DYNAMICAL SEARCH L. Pronzato, H. Wynn,

and A. Zhigljavsky

GENERALIZED LATENT VARIABLE A. Skrondal and

MODELING: MULTILEVEL, S. Rabe-Hesketh

LONGITUDINAL, AND STRUCTURAL

EQUATION MODELS

GRAPHICAL ANALYSIS OF K. Basford and J. Tukey

MULTI-RESPONSE DATA

INTRODUCTION TO M. Waterman

COMPUTATIONAL BIOLOGY:

MAPS, SEQUENCES, AND GENOMES

MARKOV CHAIN MONTE CARLO W. Gilks, S. Richardson,

IN PRACTICE and D. Spiegelhalter

MEASUREMENT ERROR AND P. Gustafson

MISCLASSIFICATION IN STATISTICS

AND EPIDEMIOLOGY: IMPACTS AND

BAYESIAN ADJUSTMENTS

MEASUREMENT ERROR: J. P. Buonaccorsi

MODELS, METHODS, AND APPLICATIONS

META-ANALYSIS OF BINARY DATA D. Böhning, R. Kuhnert,

USING PROFILE LIKELIHOOD and S. Rattanasiri

STATISTICAL ANALYSIS OF GENE T. Speed

EXPRESSION MICROARRAY DATA

STATISTICAL AND COMPUTATIONAL R. Wu and M. Lin

PHARMACOGENOMICS

STATISTICS IN MUSICOLOGY J. Beran

STATISTICS OF MEDICAL IMAGING T. Lei

STATISTICAL CONCEPTS J. Aitchison, J.W. Kay,

AND APPLICATIONS IN and I.J. Lauder

CLINICAL MEDICINE

STATISTICAL AND PROBABILISTIC P.J. Boland

METHODS IN ACTUARIAL SCIENCE

STATISTICAL DETECTION AND P. Rogerson and I. Yamada

SURVEILLANCE OF GEOGRAPHIC

CLUSTERS

STATISTICS FOR ENVIRONMENTAL A. Bailer and W. Piegorsch

BIOLOGY AND TOXICOLOGY

STATISTICS FOR FISSION R.F. Galbraith

TRACK ANALYSIS

VISUALIZING DATA PATTERNS D.B. Carr and L.W. Pickle

WITH MICROMAPS

Published titles

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