Fourier Methods in Imaging

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Publisher : John Wiley & Sons
ISBN 13 : 1119991862
Total Pages : 1005 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Fourier Methods in Imaging by : Roger L. Easton Jr.

Download or read book Fourier Methods in Imaging written by Roger L. Easton Jr. and published by John Wiley & Sons. This book was released on 2010-11-18 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Fourier Optics and Computational Imaging

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Publisher : John Wiley & Sons
ISBN 13 : 1118900340
Total Pages : 312 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Fourier Optics and Computational Imaging by : Kedar Khare

Download or read book Fourier Optics and Computational Imaging written by Kedar Khare and published by John Wiley & Sons. This book was released on 2015-09-21 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers both the mathematics of inverse problems and optical systems design, and includes a review of the mathematical methods and Fourier optics. The first part of the book deals with the mathematical tools in detail with minimal assumption about prior knowledge on the part of the reader. The second part of the book discusses concepts in optics, particularly propagation of optical waves and coherence properties of optical fields that form the basis of the computational models used for image recovery. The third part provides a discussion of specific imaging systems that illustrate the power of the hybrid computational imaging model in enhancing imaging performance. A number of exercises are provided for readers to develop further understanding of computational imaging. While the focus of the book is largely on optical imaging systems, the key concepts are discussed in a fairly general manner so as to provide useful background for understanding the mechanisms of a diverse range of imaging modalities.

Fourier Ptychographic Imaging

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681742748
Total Pages : 113 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis Fourier Ptychographic Imaging by : Guoan Zheng

Download or read book Fourier Ptychographic Imaging written by Guoan Zheng and published by Morgan & Claypool Publishers. This book was released on 2016-06-30 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the concept of Fourier ptychography, a new imaging technique that bypasses the resolution limit of the employed optics. In particular, it transforms the general challenge of high-throughput, high-resolution imaging from one that is coupled to the physical limitations of the optics to one that is solvable through computation. Demonstrated in a tutorial form and providing many MATLAB® simulation examples for the reader, it also discusses the experimental implementation and recent developments of Fourier ptychography. This book will be of interest to researchers and engineers learning simulation techniques for Fourier optics and the Fourier ptychography concept.

Fourier Analysis and Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 1441989633
Total Pages : 689 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Fourier Analysis and Imaging by : Ronald Bracewell

Download or read book Fourier Analysis and Imaging written by Ronald Bracewell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Lord Kelvin said, "Fourier's theorem is not only one of the most beautiful results of modern analysis, but it may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics." This has remained durable knowledge for a century, and has extended its applicability to topics as diverse as medical imaging (CT scanning), the presentation of images on screens and their digital transmission, remote sensing, geophysical exploration, and many branches of engineering. Fourier Analysis and Imaging is based on years of teaching a course on the Fourier Transform at the senior or early graduate level, as well as on Prof. Bracewell's 1995 text Two-Dimensional Imaging. It is an excellent textbook and will also be a welcome addition to the reference library of those many professionals whose daily activities involve Fourier analysis in its many guises.

Diffraction, Fourier Optics and Imaging

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Publisher : John Wiley & Sons
ISBN 13 : 0470084995
Total Pages : 433 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Diffraction, Fourier Optics and Imaging by : Okan K. Ersoy

Download or read book Diffraction, Fourier Optics and Imaging written by Okan K. Ersoy and published by John Wiley & Sons. This book was released on 2006-12-15 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents current theories of diffraction, imaging, and related topics based on Fourier analysis and synthesis techniques, which are essential for understanding, analyzing, and synthesizing modern imaging, optical communications and networking, as well as micro/nano systems. Applications covered include tomography; magnetic resonance imaging; synthetic aperture radar (SAR) and interferometric SAR; optical communications and networking devices; computer-generated holograms and analog holograms; and wireless systems using EM waves.

Fourier Array Imaging

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Publisher : Prentice Hall
ISBN 13 :
Total Pages : 586 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fourier Array Imaging by : Mehrdad Soumekh

Download or read book Fourier Array Imaging written by Mehrdad Soumekh and published by Prentice Hall. This book was released on 1994 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past forty years have seen a number of imaging modalities developed for radar, sonar, diagnostic medicine, geophysical and celestial exploration, and non-destructive testing. Now, for those involved in designing and developing information processing tools for these imaging systems, author Mehrdad Soumekh offers in-depth coverage of diverse issues such as physical and mathematical modeling of the problem, signal processing, reconstruction, analysis of resolution and system parameter constraints, hardware structure used for data acquisition, and the overall imaging system block diagram (signal flow-chart) indicating how the acquired data are processed to yield the final reconstructed image. Fourier Array Imaging introduces the spatial Doppler phenomenon in conjunction with the most primitive signal processing tools and systems used in array imaging; presents terminologies and tools for two-dimensional signal processing; treats specific array imaging systems via the unifying framework of spatial Doppler processing, including phased-array imaging, synthetic aperture array (SAR and ISAR) imaging, passive array imaging, and bistatic array imaging with emphasis on transmission imaging problems of diagnostic medicine and geophysical exploration; devotes coverage to the analysis of resolution anticipated in an imaging system and to the constraints that are instrumental for selecting parameters of an imaging system; describes some of the classical methods used for image formation in array imaging systems and relates them to the spatial Doppler-based imaging via certain approximations.

Introduction to the Mathematics of Medical Imaging

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Author :
Publisher : SIAM
ISBN 13 : 9780898717792
Total Pages : 794 pages
Book Rating : 4.7/5 (177 download)

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Book Synopsis Introduction to the Mathematics of Medical Imaging by : Charles L. Epstein

Download or read book Introduction to the Mathematics of Medical Imaging written by Charles L. Epstein and published by SIAM. This book was released on 2008-01-01 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most of these modalities. The text uses X-ray computed tomography (X-ray CT) as a 'pedagogical machine' to illustrate important ideas and its extensive discussion of background material makes the more advanced mathematical topics accessible to people with a less formal mathematical education. This new edition contains a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, an improved description of the gridding method, and new sections on both Grangreat's formula and noise analysis in MR-imaging. Mathematical concepts are illuminated with over 200 illustrations and numerous exercises.

Discrete Fourier Analysis and Wavelets

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Publisher : John Wiley & Sons
ISBN 13 : 1119258243
Total Pages : 464 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Discrete Fourier Analysis and Wavelets by : S. Allen Broughton

Download or read book Discrete Fourier Analysis and Wavelets written by S. Allen Broughton and published by John Wiley & Sons. This book was released on 2018-04-03 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delivers an appropriate mix of theory and applications to help readers understand the process and problems of image and signal analysis Maintaining a comprehensive and accessible treatment of the concepts, methods, and applications of signal and image data transformation, this Second Edition of Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing features updated and revised coverage throughout with an emphasis on key and recent developments in the field of signal and image processing. Topical coverage includes: vector spaces, signals, and images; the discrete Fourier transform; the discrete cosine transform; convolution and filtering; windowing and localization; spectrograms; frames; filter banks; lifting schemes; and wavelets. Discrete Fourier Analysis and Wavelets introduces a new chapter on frames—a new technology in which signals, images, and other data are redundantly measured. This redundancy allows for more sophisticated signal analysis. The new coverage also expands upon the discussion on spectrograms using a frames approach. In addition, the book includes a new chapter on lifting schemes for wavelets and provides a variation on the original low-pass/high-pass filter bank approach to the design and implementation of wavelets. These new chapters also include appropriate exercises and MATLAB® projects for further experimentation and practice. • Features updated and revised content throughout, continues to emphasize discreteand digital methods, and utilizes MATLAB® to illustrate these concepts • Contains two new chapters on frames and lifting schemes, which take into account crucial new advances in the field of signal and image processing • Expands the discussion on spectrograms using a frames approach, which is an ideal method for reconstructing signals after information has been lost or corrupted (packet erasure) • Maintains a comprehensive treatment of linear signal processing for audio and image signals with a well-balanced and accessible selection of topics that appeal to a diverse audience within mathematics and engineering • Focuses on the underlying mathematics, especially the concepts of finite-dimensional vector spaces and matrix methods, and provides a rigorous model for signals and images based on vector spaces and linear algebra methods • Supplemented with a companion website containing solution sets and software exploration support for MATLAB and SciPy (Scientific Python) Thoroughly class-tested over the past fifteen years, Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing is an appropriately self-contained book ideal for a one-semester course on the subject. S. Allen Broughton, PhD, is Professor Emeritus of Mathematics at Rose-Hulman Institute of Technology. Dr. Broughton is a member of the American Mathematical Society (AMS) and the Society for the Industrial Applications of Mathematics (SIAM), and his research interests include the mathematics of image and signal processing, and wavelets. Kurt Bryan, PhD, is Professor of Mathematics at Rose-Hulman Institute of Technology. Dr. Bryanis a member of MAA and SIAM and has authored over twenty peer-reviewed journal articles. div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;"Kurt Bryan, PhD, is Professor of Mathematics at Rose-Hulman Institute of Technology. Dr. Bryanis a member of MAA and SIAM and has authored over twenty peer-reviewed journal articles.Maintaining a comprehensive and accessible treatment of the concepts, methods, and applications of signal and image data transformation, this Second Edition of Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing features updated and r

In Vivo Optical Imaging of Brain Function, Second Edition

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Publisher : CRC Press
ISBN 13 : 142007685X
Total Pages : 428 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis In Vivo Optical Imaging of Brain Function, Second Edition by : Ron D. Frostig

Download or read book In Vivo Optical Imaging of Brain Function, Second Edition written by Ron D. Frostig and published by CRC Press. This book was released on 2009-05-06 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are exciting times for the field of optical imaging of brain function. Rapid developments in theory and technology continue to considerably advance understanding of brain function. Reflecting changes in the field during the past five years, the second edition of In Vivo Optical Imaging of Brain Function describes state-of-the-art techniques and their applications for the growing field of functional imaging in the live brain using optical imaging techniques. New in the Second Edition: Voltage-sensitive dyes imaging in awake behaving animals Imaging based on genetically encoded probes Imaging of mitochondrial auto-fluorescence as a tool for cortical mapping Using pH-sensitive dyes for functional mapping Modulated imaging Calcium imaging of neuronal activity using 2-photon microscopy Fourier approach to optical imaging Fully updated chapters from the first edition Leading Authorities Explore the Latest Techniques Updated to reflect continuous development in this emerging research area, this new edition, as with the original, reaches across disciplines to review a variety of non-invasive optical techniques used to study activity in the living brain. Leading authorities from such diverse areas as biophysics, neuroscience, and cognitive science present a host of perspectives that range from a single neuron to large assemblies of millions of neurons, captured at various temporal and spatial resolutions. Introducing techniques that were not available just a few years ago, the authors describe the theory, setup, analytical methods, and examples that highlight the advantages of each particular method.

Computational Fourier Optics

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Publisher : SPIE-International Society for Optical Engineering
ISBN 13 : 9780819482044
Total Pages : 232 pages
Book Rating : 4.4/5 (82 download)

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Book Synopsis Computational Fourier Optics by : Jim Bernard Breckinridge

Download or read book Computational Fourier Optics written by Jim Bernard Breckinridge and published by SPIE-International Society for Optical Engineering. This book was released on 2011 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fourier Optics is a text that shows the reader in a tutorial form how to implement Fourier optical theory and analytic methods on the computer. A primary objective is to give students of Fourier optics the capability of programming their own basic wave optic beam propagations and imaging simulations. The book will also be of interest to professional engineers and physicists learning Fourier optics simulation techniques-either as a self-study text or a text for a short course. For more advanced study, the latter chapters and appendices provide methods and examples for modeling beams and pupil functions with more complicated structure, aberrations, and partial coherence. For a student in a course on Fourier optics, this book is a concise, accessible, and practical companion to any of several excellent textbooks on Fourier optical theory.

Fourier Analysis and Imaging

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Publisher :
ISBN 13 :
Total Pages : 689 pages
Book Rating : 4.:/5 (254 download)

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Book Synopsis Fourier Analysis and Imaging by : Ronald Newbold Bracewell

Download or read book Fourier Analysis and Imaging written by Ronald Newbold Bracewell and published by . This book was released on 2006 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Medical Imaging Systems

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Publisher : Springer
ISBN 13 : 3319965204
Total Pages : 263 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Medical Imaging Systems by : Andreas Maier

Download or read book Medical Imaging Systems written by Andreas Maier and published by Springer. This book was released on 2018-08-02 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book gives a complete and comprehensive introduction to the fields of medical imaging systems, as designed for a broad range of applications. The authors of the book first explain the foundations of system theory and image processing, before highlighting several modalities in a dedicated chapter. The initial focus is on modalities that are closely related to traditional camera systems such as endoscopy and microscopy. This is followed by more complex image formation processes: magnetic resonance imaging, X-ray projection imaging, computed tomography, X-ray phase-contrast imaging, nuclear imaging, ultrasound, and optical coherence tomography.

Fourier Series and Optical Transform Techniques in Contemporary Optics

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fourier Series and Optical Transform Techniques in Contemporary Optics by : Raymond G. Wilson

Download or read book Fourier Series and Optical Transform Techniques in Contemporary Optics written by Raymond G. Wilson and published by Wiley-Interscience. This book was released on 1995-05-29 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the applications of Fourier methods and linear systems theory to optical diffraction and imaging, and it will be of use to anyone seeking an understanding of Fourier series and Fourier transforms of one-and two-dimensional structures.

Fourier Analysis

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Publisher : Cambridge University Press
ISBN 13 : 1009230077
Total Pages : pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Fourier Analysis by : T. W. Körner

Download or read book Fourier Analysis written by T. W. Körner and published by Cambridge University Press. This book was released on 2022-06-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. This diversity of interest is often overlooked, but in this much-loved book, Tom Körner provides a shop window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy and electrical engineering. The prerequisites are few (a reader with knowledge of second- or third-year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining. This edition of Körner's 1989 text includes a foreword written by Professor Terence Tao introducing it to a new generation of fans.

Introduction to Fourier Optics

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Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Introduction to Fourier Optics by : Joseph W. Goodman

Download or read book Introduction to Fourier Optics written by Joseph W. Goodman and published by McGraw-Hill Companies. This book was released on 1968 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This renowned text applies the powerful mathematical methods of fourier analysis to the analysis and synthesis of optical systems. These ubiquitous mathematical tools provide unique insights into the capabilities and limitations of optical systems in both imaging and information processing and lead to many fascinating applications, including the field of holography.

Imaging the Eye from Front to Back with RTVue Fourier-domain Optical Coherence Tomography

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Author :
Publisher : SLACK Incorporated
ISBN 13 : 1556429630
Total Pages : 290 pages
Book Rating : 4.5/5 (564 download)

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Book Synopsis Imaging the Eye from Front to Back with RTVue Fourier-domain Optical Coherence Tomography by : David Huang

Download or read book Imaging the Eye from Front to Back with RTVue Fourier-domain Optical Coherence Tomography written by David Huang and published by SLACK Incorporated. This book was released on 2010 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier-Domain optical coherence tomography (OCT) is the latest technology available to provide high-speed, high-resolution imaging of the cornea, anterior chamber angle, macula, and optic nerve head. It is uniquely suited for ophthalmologists that treat diseases from the front to the back of the eye. Inside Imaging the Eye from Front to Back with RTVue Fourier-Domain Optical Coherence Tomography, Drs. David Huang, Jay S. Duker, James G. Fujimoto, Bruno Lumbroso, Joel S. Schuman, and Robert N. Weinreb cover up-to-date OCT technology and diagnostic software of the RTVue. It is the first book that covers clinical applications from the front to the back of the eye, as opposed to concentrating either on posterior segment imaging or anterior segment imaging. Inside you'll find: * Explanation of Fourier-Domain OCT technology * Teaching of scan pattern selection * Step-by-step instruction for scan acquisition * Teaching of the interpretations of OCT images and measurements by many case examples * Interpretation of en face images Some chapters covered: * Anterior segment * Cornea * Posterior segment * Retina * Age-related macular degeneration * Diabetic retinopathy * Glaucoma Imaging the Eye from Front to Back with RTVue Fourier-Domain Optical Coherence Tomography is the must-have book for general ophthalmologists, glaucoma specialists, retina specialists, cornea specialists, and refractive surgeons, as well as biomedical engineers.

Fourier Optics and Computational Imaging

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Author :
Publisher : Springer Nature
ISBN 13 : 3031183533
Total Pages : 295 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Fourier Optics and Computational Imaging by : Kedar Khare

Download or read book Fourier Optics and Computational Imaging written by Kedar Khare and published by Springer Nature. This book was released on 2023-01-02 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is designed to serve as a textbook for advanced undergraduate and graduate students enrolled in physics and electronics and communication engineering and mathematics. The book provides an introduction to Fourier optics in light of new developments in the area of computational imaging over the last couple of decades. There is an in-depth discussion of mathematical methods such as Fourier analysis, linear systems theory, random processes, and optimization-based image reconstruction techniques. These techniques are very much essential for a better understanding of the working of computational imaging systems. It discusses topics in Fourier optics, e.g., diffraction phenomena, coherent and incoherent imaging systems, and some aspects of coherence theory. These concepts are then used to describe several system ideas that combine optical hardware design and image reconstruction algorithms, 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. The topics covered in this book can provide an elementary introduction to the exciting area of computational imaging for students who may wish to work with imaging systems in their future careers.