Easton Jr. Fourier Methods in Imaging

2. Auflage 2010
ISBN: 978-1-119-99186-1
Verlag: John Wiley & Sons
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 954 Seiten, E-Book

Fourier Methods in Imaging introduces the mathematical toolsfor modeling linear imaging systems to predict the action of thesystem or for solving for the input. The chapters are grouped intofive sections, the first introduces the imaging "tasks"(direct, inverse, and system analysis), the basic concepts oflinear algebra for vectors and functions, including complex-valuedvectors, and inner products of vectors and functions. The secondsection defines "special" functions, mathematical operations, andtransformations that are useful for describing imaging systems.Among these are the Fourier transforms of 1-D and 2-D function, andthe Hankel and Radon transforms. This section also considersapproximations of the Fourier transform. The third and fourthsections examine the discrete Fourier transform and the descriptionof imaging systems as linear "filters", including the inverse,matched, Wiener and Wiener-Helstrom filters. The final sectionexamines applications of linear system models to optical imagingsystems, including holography.
* Provides a unified mathematical description of imagingsystems.
* Develops a consistent mathematical formalism for characterizingimaging systems.
* Helps the reader develop an intuitive grasp of the most commonmathematical methods, useful for describing the action of generallinear systems on signals of one or more spatial dimensions.
* Offers parallel descriptions of continuous and discretecases.
* Includes many graphical and pictorial examples to illustratethe concepts.
This book helps students develop an understanding ofmathematical tools for describing general one- and two-dimensionallinear imaging systems, and will also serve as a reference forengineers and scientists

Autoren/Hrsg.

Easton Jr., Roger L.

Über Autor(innen)

Professor Roger L. Easton, Jr
Chester F. Carlson Center for Imaging Science, RochesterInstitute of Technology
Professor Easton teaches undergraduate and graduate courses inlinear systems, optical imaging, and digital image processing atRochester Institute of Technology. He received a B.S. degree inAstronomy from Haverford College, an M.S. in physics from theUniversity of Maryland, and an M.S. and Ph.D. degree in OpticalSciences from the University of Arizona.
His research interests include the application of digital imageprocessing to text documents and manuscripts. He has contributed towork on the Dead Sea Scrolls and is now part of an imaging teamhelping scolars to read the original Archimiedes Palimpsest.Professor Easton also conducts research into optical signalprocessing and computer-generated holography, publishing articleson both.