Fourier Methods in Imaging
eBook - ePub

Fourier Methods in Imaging

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

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

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Table of contents

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

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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.