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Fourier Methods in Imaging

2010-11-18 Technology & Engineering
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Release : 2010-11-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 862/5 ( reviews)

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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.. This book was released on 2010-11-18. 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 Analysis and Imaging

2012-12-06 Technology & Engineering
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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 633/5 ( reviews)

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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. This book was released on 2012-12-06. 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.

Fourier Optics and Computational Imaging

2015-09-21 Technology & Engineering
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Release : 2015-09-21
Genre : Technology & Engineering
Kind : eBook
Book Rating : 340/5 ( reviews)

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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. This book was released on 2015-09-21. 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

2016-06-30 Science
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Release : 2016-06-30
Genre : Science
Kind : eBook
Book Rating : 748/5 ( reviews)

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Book Synopsis Fourier Ptychographic Imaging by : Guoan Zheng

Download or read book Fourier Ptychographic Imaging written by Guoan Zheng. This book was released on 2016-06-30. 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.

Diffraction, Fourier Optics and Imaging

2006-12-15 Technology & Engineering
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Release : 2006-12-15
Genre : Technology & Engineering
Kind : eBook
Book Rating : 995/5 ( reviews)

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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. This book was released on 2006-12-15. 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.

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