## Fourier Methods in Imaging

### Roger L. Easton Jr.

5 avg rating
( 2 ratings by Goodreads )

Fourier Methods in Imaging introduces the mathematical tools for modeling linear imaging systems to predict the action of the system or for solving for the input. The chapters are grouped into five sections, the first introduces the imaging “tasks” (direct, inverse, and system analysis), the basic concepts of linear algebra for vectors and functions, including complex-valued vectors, and inner products of vectors and functions. The second section defines "special" functions, mathematical operations, and transformations that are useful for describing imaging systems. Among these are the Fourier transforms of 1-D and 2-D function, and the Hankel and Radon transforms. This section also considers approximations of the Fourier transform. The third and fourth sections examine the discrete Fourier transform and the description of imaging systems as linear "filters", including the inverse, matched, Wiener and Wiener-Helstrom filters. The final section examines applications of linear system models to optical imaging systems, including holography.

• Provides a unified mathematical description of imaging systems.
• Develops a consistent mathematical formalism for characterizing imaging systems.
• Helps the reader develop an intuitive grasp of the most common mathematical methods, useful for describing the action of general linear systems on signals of one or more spatial dimensions.
• Offers parallel descriptions of continuous and discrete cases.
• Includes many graphical and pictorial examples to illustrate the concepts.

This book helps students develop an understanding of mathematical tools for describing general one- and two-dimensional linear imaging systems, and will also serve as a reference for engineers and scientists

"synopsis" may belong to another edition of this title.

Professor Roger L. Easton, Jr
Chester F. Carlson Center for Imaging Science, Rochester Institute of Technology
Professor Easton teaches undergraduate and graduate courses in linear systems, optical imaging, and digital image processing at Rochester Institute of Technology. He received a B.S. degree in Astronomy from Haverford College, an M.S. in physics from the University of Maryland, and an M.S. and Ph.D. degree in Optical Sciences from the University of Arizona.
His research interests include the application of digital image processing to text documents and manuscripts. He has contributed to work on the Dead Sea Scrolls and is now part of an imaging team helping scolars to read the original Archimiedes Palimpsest. Professor Easton also conducts research into optical signal processing and computer-generated holography, publishing articles on both.

Review:

"Overall, this is an excellent text, appropriate for the graduate student approaching this material for the first time, and for the seasoned professional looking for an up-to-date reference." (Journal of Electronic Imaging, 1 April 2011)

"This comprehensive textbook represents a practical review of Fourier techniques in imaging methods. It will be very useful for graduate students (in engineering, science, computer science, and applied mathematics) as well as engineers interested in linear imaging systems." (Zentralblatt Math, 2010)

List Price: US\$ 187.00
US\$ 72.86

Shipping: FREE
From India to U.S.A.

Destination, Rates & Speeds

### Top Search Results from the AbeBooks Marketplace

International Edition

## 1.Fourier Methods In Imaging

ISBN 10: 0470689838 ISBN 13: 9780470689837
New Quantity Available: 2
International Edition
Seller:
firstbookstore
(New Delhi, India)
Rating

Book Description Book Condition: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Bookseller Inventory # AIND-132955

US\$ 72.86
Convert Currency
Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition

## 2.Fourier Methods In Imaging

ISBN 10: 0470689838 ISBN 13: 9780470689837
New Quantity Available: 3
International Edition
Seller:
Bookshub
(Karol Bagh, India)
Rating

Book Description Book Condition: New. New. International edition. Different ISBN and Cover image but contents are same as US edition. Perfect condition. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-153425

US\$ 73.68
Convert Currency
Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition

## 3.Fourier Methods In Imaging

ISBN 10: 0470689838 ISBN 13: 9780470689837
New Quantity Available: 3
International Edition
Seller:
EBOOKSTORE2010
(New Delhi, ND, India)
Rating

Book Description Book Condition: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB153425

US\$ 73.73
Convert Currency
Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition

## 4.Fourier Methods In Imaging

ISBN 10: 0470689838 ISBN 13: 9780470689837
New Softcover Quantity Available: 2
International Edition
Seller:
(STERLING HEIGHTS, MI, U.S.A.)
Rating

Book Description Book Condition: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Bookseller Inventory # AUSBNEW-132955

US\$ 77.02
Convert Currency
Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds
International Edition

## 5.Fourier Methods In Imaging

ISBN 10: 0470689838 ISBN 13: 9780470689837
New Softcover Quantity Available: 3
International Edition
Seller:
Basi6 International
(Irving, TX, U.S.A.)
Rating

Book Description Book Condition: Brand New. New, SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Excellent Customer Service. Bookseller Inventory # ABEUSA-153425

US\$ 77.04
Convert Currency
Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

## 6.Fourier Methods in Imaging (Hardback)

ISBN 10: 0470689838 ISBN 13: 9780470689837
New Hardcover Quantity Available: 1
Seller:
The Book Depository US
(London, United Kingdom)
Rating

Book Description John Wiley and Sons Ltd, United States, 2010. Hardback. Book Condition: New. Language: English . Brand New Book. Fourier Methods in Imaging introduces the mathematical tools for modeling linear imaging systems to predict the action of the system or for solving for the input. The chapters are grouped into five sections, the first introduces the imaging tasks (direct, inverse, and system analysis), the basic concepts of linear algebra for vectors and functions, including complex-valued vectors, and inner products of vectors and functions. The second section defines special functions, mathematical operations, and transformations that are useful for describing imaging systems. Among these are the Fourier transforms of 1-D and 2-D function, and the Hankel and Radon transforms. This section also considers approximations of the Fourier transform. The third and fourth sections examine the discrete Fourier transform and the description of imaging systems as linear filters , including the inverse, matched, Wiener and Wiener-Helstrom filters. The final section examines applications of linear system models to optical imaging systems, including holography. * Provides a unified mathematical description of imaging systems. * Develops a consistent mathematical formalism for characterizing imaging systems. * Helps the reader develop an intuitive grasp of the most common mathematical methods, useful for describing the action of general linear systems on signals of one or more spatial dimensions. * Offers parallel descriptions of continuous and discrete cases. * Includes many graphical and pictorial examples to illustrate the concepts. This book helps students develop an understanding of mathematical tools for describing general one- and two-dimensional linear imaging systems, and will also serve as a reference for engineers and scientists. Bookseller Inventory # AAH9780470689837

US\$ 136.77
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 7.Fourier Methods in Imaging (Hardback)

ISBN 10: 0470689838 ISBN 13: 9780470689837
New Hardcover Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating

Book Description John Wiley and Sons Ltd, United States, 2010. Hardback. Book Condition: New. Language: English . Brand New Book. Fourier Methods in Imaging introduces the mathematical tools for modeling linear imaging systems to predict the action of the system or for solving for the input. The chapters are grouped into five sections, the first introduces the imaging tasks (direct, inverse, and system analysis), the basic concepts of linear algebra for vectors and functions, including complex-valued vectors, and inner products of vectors and functions. The second section defines special functions, mathematical operations, and transformations that are useful for describing imaging systems. Among these are the Fourier transforms of 1-D and 2-D function, and the Hankel and Radon transforms. This section also considers approximations of the Fourier transform. The third and fourth sections examine the discrete Fourier transform and the description of imaging systems as linear filters , including the inverse, matched, Wiener and Wiener-Helstrom filters. The final section examines applications of linear system models to optical imaging systems, including holography. * Provides a unified mathematical description of imaging systems. * Develops a consistent mathematical formalism for characterizing imaging systems. * Helps the reader develop an intuitive grasp of the most common mathematical methods, useful for describing the action of general linear systems on signals of one or more spatial dimensions. * Offers parallel descriptions of continuous and discrete cases. * Includes many graphical and pictorial examples to illustrate the concepts. This book helps students develop an understanding of mathematical tools for describing general one- and two-dimensional linear imaging systems, and will also serve as a reference for engineers and scientists. Bookseller Inventory # AAH9780470689837

US\$ 140.21
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 8.Fourier Methods in Imaging

ISBN 10: 0470689838 ISBN 13: 9780470689837
New Hardcover Quantity Available: > 20
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating

Book Description Wiley 2010-05-21, Hoboken, N.J. :|Chichester, 2010. hardback. Book Condition: New. Bookseller Inventory # 9780470689837

US\$ 134.89
Convert Currency
Shipping: US\$ 7.99
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 9.Fourier Methods in Imaging

ISBN 10: 0470689838 ISBN 13: 9780470689837
New Quantity Available: 3
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating

Book Description Wileyand#8211;Blackwell, 2010. HRD. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # FW-9780470689837

US\$ 133.51
Convert Currency
Shipping: US\$ 11.99
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 10.Fourier Methods in Imaging

ISBN 10: 0470689838 ISBN 13: 9780470689837
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating

Book Description John Wiley & Sons, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780470689837_lsuk