Fourier Methods in Imaging
eBook - PDF

Fourier Methods in Imaging

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Fourier Methods in Imaging

About this 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

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Fourier Methods in Imaging by Roger L. Easton Jr. in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Electrical Engineering & Telecommunications. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. Series Editor’s Preface
  3. Preface
  4. 1 Introduction
  5. 2 Operators and Functions
  6. 3 Vectors with Real-Valued Components
  7. 4 Complex Numbers and Functions
  8. 5 Complex-Valued Matrices and Systems
  9. 6 1-D Special Functions
  10. 7 2-D Special Functions
  11. 8 Linear Operators
  12. 9 Fourier Transforms of 1-D Functions
  13. 10 Multidimensional Fourier Transforms
  14. 11 Spectra of Circular Functions
  15. 12 The Radon Transform
  16. 13 Approximations to Fourier Transforms
  17. 14 Discrete Systems, Sampling, and Quantization
  18. 15 Discrete Fourier Transforms
  19. 16 Magnitude Filtering
  20. 17 Allpass (Phase) Filters
  21. 18 Magnitude–Phase Filters
  22. 19 Applications of Linear Filters
  23. 20 Filtering in Discrete Systems
  24. 21 Optical Imaging in Monochromatic Light
  25. 22 Incoherent Optical Imaging Systems
  26. 23 Holography
  27. References
  28. Index