Contents: 1. Introduction. Part I. Mathematical preliminaries. 2. Fourier series and transform. 3. Sampling theorem. 4. Operational introduction to fast Fourier transform. 5. Linear systems formalism and introduction to inverse problems in imaging. 6. Optimization approach to image reconstruction. 7. Random Processes. Part II. Concepts in Optics. 8. Geometrical Optics Essentials. 9. Wave Equation and Diffraction of Light. 10. Coherence of light fields. 11. Polarization of light. 12. Analysis of optical systems. 13. Imaging from information point of view Part III. Computational imaging systems. 14. Digital Holography. 15. Non-interferometric phase retrieval. 16. Compact Multi-lens Imaging Systems. 17. PSF Engineering. 18. Structured Illumination Imaging. 19. Image reconstruction from projections. 20. Correlation imaging. Index. This book provides an introduction to Fourier optics in the light of new developments in the area of computational imaging over the last couple of decades. The text is divided into three parts. The first part provides an in-depth discussion of relevant mathematical methods such as Fourier analysis, linear systems theory, random processes, and optimization-based image reconstruction techniques that are essential for understanding the working of modern computational imaging systems. The second part of the book explains the concepts in optics including diffraction phenomena, coherent and incoherent imaging systems, and some aspects of optical coherence theory. These traditional topical areas in Optics are covered from systems theory perspective. For example the diffraction theory is directly introduced in the angular spectrum formalism instead of the historical perspective taken by traditional Optics books. The third part of the book builds on the material in the first two parts and describes several system ideas combining optical hardware design and image reconstruction algorithms. In particular several advanced topics such as digital holography, iterative phase retrieval, super-resolution imaging, point spread function engineering for enhanced depth-of-focus, projection based imaging, single-pixel or ghost imaging, etc. are introduced. Each chapter contains a few exercises and thought problems that are meant to make the readers aware of interesting developments in the computational imaging literature. The book can serve as an introductory textbook for advanced undergraduate and Masters/PhD level students from Physics, EE or Applied Mathematics backgrounds who may be interested in exploring the exciting world of imaging research and development.

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Bibliographic Details

Title: Fourier Optics and Computational Imaging
Publisher: Ane Books
Publication Date: 2022
Language: English
ISBN 10: 9390658756
ISBN 13: 9789390658756
Binding: Hardcover
Edition: 2nd Edition
Condition: New

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