Foundations of Image Science

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9780471153009: Foundations of Image Science
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A comprehensivetreatment of the principles, mathematics, and statistics of imagescience

In today’s visually oriented society, images play animportant role in conveying messages. From seismic imaging tosatellite images to medical images, our modern society would belost without images to enhance our understanding of our health, ourculture, and our world.

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

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

  • Mathematical Foundations: Examines the essential mathematicalfoundations of image science
  • Image Formation–Models and Mechanisms: Presents acomprehensive and unified treatment of the mathematical andstatistical principles of imaging, with an emphasis on digitalimaging systems and the use of SVD methods
  • Image Quality: Provides a systematic exposition of themethodology for objective or task-based assessment of imagequality
  • Applications: Presents detailed case studies of specific directand indirect imaging systems and provides examples of how to applythe various mathematical tools covered in the book
  • Appendices: Covers the prerequisite material necessary forunderstanding the material in the main text, including matrixalgebra, complex variables, and the basics of probabilitytheory

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From the Back Cover:

A comprehensive treatment of the principles, mathematics, andstatistics of image science

In today’s visually oriented society, images play animportant role in conveying messages. From seismic imaging tosatellite images to medical images, our modern society would belost without images to enhance our understanding of our health, ourculture, and our world.

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

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

  • Mathematical Foundations: Examines the essential mathematicalfoundations of image science
  • Image Formation–Models and Mechanisms: Presents acomprehensive and unified treatment of the mathematical andstatistical principles of imaging, with an emphasis on digitalimaging systems and the use of SVD methods
  • Image Quality: Provides a systematic exposition of themethodology for objective or task-based assessment of imagequality
  • Applications: Presents detailed case studies of specific directand indirect imaging systems and provides examples of how to applythe various mathematical tools covered in the book
  • Appendices: Covers the prerequisite material necessary forunderstanding the material in the main text, including matrixalgebra, complex variables, and the basics of probabilitytheory

About the Author:

HARRISON H. BARRETT received a BS in physics from VirginiaPolytechnic Institute, an MS in Physics from MIT, and a PhD inapplied physics from Harvard. Dr. Barrett is a professor in theOptical Sciences Center, the Department of Radiology, and theProgram in Applied Mathematics and serves as Director of the Centerfor Gamma-ray Imaging. The holder of twenty-three U.S. patents, heis the recipient of the IEEE Medical Imaging Scientist Award and aHumboldt Prize and the coauthor, with William Swindell, ofRadiological Imaging: The Theory of Image Formation, Detection,and Processing.

KYLE J. MYERS received a BS in Mathematics and Physicsfrom Occidental College and an MS and PhD in Optical Sciences fromthe University of Arizona. Dr. Myers is the Chief of the MedicalImaging and Computer Applications Branch of the Center for Devicesand Radiological Health of the U.S. Food and Drug Administration.She is a member of the SPIE, the Optical Society of America, andthe Medical Image Perception Society (MIPS), and recently served ascochair of the Medical Image Perception Conference sponsored byMIPS.

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