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Foundations of Image Science [Hardcover]

Harrison H. Barrett (Author), Kyle Myers (Author)
5.0 out of 5 stars  See all reviews (5 customer reviews)

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Book Description

0471153001 978-0471153009 October 2003 1st
Winner of the 2006 Joseph W. Goodman Book Writing Award!

A comprehensive treatment of the principles, mathematics, and statistics of image science

In today’s visually oriented society, images play an important role in conveying messages. From seismic imaging to satellite images to medical images, our modern society would be lost without images to enhance our understanding of our health, our culture, and our world.

Foundations of Image Science presents a comprehensive treatment of the principles, mathematics, and statistics needed to understand and evaluate imaging systems. The book is the first to provide a thorough treatment of the continuous-to-discrete, or CD, model of digital imaging. Foundations of Image Science emphasizes the need for meaningful, objective assessment of image quality and presents the necessary tools for this purpose. Approaching the subject within a well-defined theoretical and physical context, this landmark text presents the mathematical underpinnings of image science at a level that is accessible to graduate students and practitioners working with imaging systems, as well as well-motivated undergraduate students.

Destined to become a standard text in the field, Foundations of Image Science covers:

  • Mathematical Foundations: Examines the essential mathematical foundations of image science
  • Image Formation–Models and Mechanisms: Presents a comprehensive and unified treatment of the mathematical and statistical principles of imaging, with an emphasis on digital imaging systems and the use of SVD methods
  • Image Quality: Provides a systematic exposition of the methodology for objective or task-based assessment of image quality
  • Applications: Presents detailed case studies of specific direct and indirect imaging systems and provides examples of how to apply the various mathematical tools covered in the book
  • Appendices: Covers the prerequisite material necessary for understanding the material in the main text, including matrix algebra, complex variables, and the basics of probability theory

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Editorial Reviews

Review

"…an impressive tour-de-force textbook of imaging systems that deserves a place on the bookshelves of many radiologists and students." (Yale Journal of Biology and Medicine, July 2005)

"...a worthwhile addition to the armamentarium of any serious researcher in image science and will be an opt-quoted reference for many years to come." (Journal of Electrical Imaging, April-June 2005)

In an article whether educational programs for imaging physicists should emphasize science of imaging rather than the technology of imaging, "The new textbook…does appear to be outstanding. It contains over 1500 pages of text, with probably about as many equations...” (Medical Physics, October 2004)

"Foundation of Image Science is comprehensive and the mathematics is rigorous and ubiquitous.” (E-Streams, Vol. 7, No. 5)

“Containing a clear, detailed and general mathematical description of image formation, representation, and quality assessment, this book will be of great interest to researches and graduate students...highly recommended.” (Medical Physics)

From the Back Cover

A comprehensive treatment of the principles, mathematics, and statistics of image science

In today’s visually oriented society, images play an important role in conveying messages. From seismic imaging to satellite images to medical images, our modern society would be lost without images to enhance our understanding of our health, our culture, and our world.

Foundations of Image Science presents a comprehensive treatment of the principles, mathematics, and statistics needed to understand and evaluate imaging systems. The book is the first to provide a thorough treatment of the continuous-to-discrete, or CD, model of digital imaging. Foundations of Image Science emphasizes the need for meaningful, objective assessment of image quality and presents the necessary tools for this purpose. Approaching the subject within a well-defined theoretical and physical context, this landmark text presents the mathematical underpinnings of image science at a level that is accessible to graduate students and practitioners working with imaging systems, as well as well-motivated undergraduate students.

Destined to become a standard text in the field, Foundations of Image Science covers:

  • Mathematical Foundations: Examines the essential mathematical foundations of image science
  • Image Formation–Models and Mechanisms: Presents a comprehensive and unified treatment of the mathematical and statistical principles of imaging, with an emphasis on digital imaging systems and the use of SVD methods
  • Image Quality: Provides a systematic exposition of the methodology for objective or task-based assessment of image quality
  • Applications: Presents detailed case studies of specific direct and indirect imaging systems and provides examples of how to apply the various mathematical tools covered in the book
  • Appendices: Covers the prerequisite material necessary for understanding the material in the main text, including matrix algebra, complex variables, and the basics of probability theory

Product Details

  • Hardcover: 1540 pages
  • Publisher: Wiley-Interscience; 1st edition (October 2003)
  • Language: English
  • ISBN-10: 0471153001
  • ISBN-13: 978-0471153009
  • Product Dimensions: 10.2 x 7.2 x 3.1 inches
  • Shipping Weight: 6.2 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Best Sellers Rank: #758,580 in Books (See Top 100 in Books)

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11 of 12 people found the following review helpful:
5.0 out of 5 stars Extremely thorough and rigorous resource, February 9, 2006
By 
This review is from: Foundations of Image Science (Hardcover)
This book always amazes me whenever I use it for the absolutely incredible amount of material that it covers in such depth. I had the tremendous good fortune to have taken a Physical Optics course with Prof. Barrett, and it would be impossible to believe that one person can know so much unless you have personally talked with him about science or had a class with him. The rumor in the department is that Dr. Barrett is the only professor to at one time or other have taught ALL of the department's core graduate courses during his career at the College of Optical Sciences. Furthermore, he is one of the rare scientists who is an authority in his field both theoretically and experimentally, so you do not get a one-sided perspective as can often happen with science texts. The book reflects his vast knowledge, expertise, rigor, and thoroughness.

Of course, the book has several chapters on mathematical formalism, including the linear algebra, dirac delta function, Fourier theory, and group theory. The imaging theory is there, as well as diffraction theory. He covers photon statistics and detection, including the necessary quantum mechanics. He covers several advanced imaging concepts that I haven't any idea about myself. You probably could not find a more comprehensive book in the field of imaging and physical optics. Another benefit is that, at least for the chapters I have used, the individual chapters seem to stand well on their own and you are not forced to study the book in order.

This book is not for the faint of heart in any respect. The material itself is not for the faint of heart: it is extremely rigorous and will require your careful attention, but I believe it is well explained and manageable for someone who is serious about learning it. The size of the book is not for the faint of heart. I would hate to have to carry this thing around much (>1500 pages!!). The price is nothing to sneeze at either, at least for an impoverished graduate student like me, but Dr. Barrett told us that if you calculate the cost per equation, it may be one of the cheapest books on the market. Well, you get what you pay for. As far as anyone in the class found out, there are no typos, either. (Really. We were looking for them). This is certainly a relief for anyone who has much experience shelling out hundreds of dollars for expensive science textbooks.

I do not consider this book to be introductory material, but it is quite likely as close to exhaustive as anything you are apt to encounter in the physical sciences. If you are very serious about imaging or physical optics, this book will be an invaluable resource.
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2 of 2 people found the following review helpful:
5.0 out of 5 stars Tremendous Work and Very Clear, November 28, 2006
By 
This review is from: Foundations of Image Science (Hardcover)
This is one of the few books that I will always treasure. Why? Because it is very clear. It has very very good discussions on everything it treats, and it treats a ton of material. In my engineering career, I have read or tried to read many many textbooks and this stands up as one of the absolute best. Barrett and Meyers give exquisite expositions on all of the mathematics necessary to study image science and many other related fields. For example, its treatment on probability, random processes, decision and estimation theory is actually better, more clear and more complete than many standard textbooks on the subject. If I get stuck reading any of them, I refer to this book and am saved.
I only wish they would issue it in two or three volumes. It is so ponderous (yet beautifully put together) if you carry it around you will get big muscles and get a good cardio workout!
I own it and leave it at home and I had the library at work get me a copy which I leave at work. If I want exercise I will go to my health club!
IT IS WORTH EVERY PENNY OF THE 146 BUCKS IT COSTS.
If you want a great textbook to learn this technology from dont hesitate to buy it. You may need two - one for home and one for work, if your company wont buy you one.
Really impressed.
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1 of 1 people found the following review helpful:
5.0 out of 5 stars Correction to the quotation from JEI, August 20, 2006
By 
This review is from: Foundations of Image Science (Hardcover)
I was the reviewer for this book in the Journal of Electronic Imaging.

The quotation from my review in JEI as it appears on this site should read:

"...a worthwhile addition to the armamentarium of any serious researcher in image science and will be an oft-quoted reference for many years to come." (Journal of Electronic Imaging, April-June 2005)

The corrections pertains to the word, oft-quoted, which has, for some reason, appeared as "opt-quoted" on this site in addition to the reference, "Journal of Electronic Imaging" instead of "Journal of Electrical Imaging"

This book, of course, is outstanding as I have stated in my review in the JEI.
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Inside This Book (learn more)
First Sentence:
As discussed in the Prologue, an imaging system is a transformation or mapping from an object to an image. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
object randomness, crosstalk matrix, clustered lumpy backgrounds, indirect imaging systems, angular delta function, lump profile, spectral photon radiance, discrete detector array, discrete object representation, pure phase function, binomial selection, generalized radiance, uniform translates, planar nuclear medicine, temporal random process, collimator blur, nonnegative objects, detector blur, autocorrelation operator, spectral photon irradiance, conditional autocovariance, linear iterative algorithms, natural pixels, inconsistency space, collimator bores
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, Van Trees, World War, Lord Rayleigh, University of Michigan, Eric Clarkson, John von Neumann, University of Arizona
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