Fourier Analysis and Imaging
By: by Ronald Bracewell
Publisher: Springer US
Published: 2003
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 689
ISBN-13: 9781461347385; 9781441989635
Subjects: Computer engineering; Analytical biochemistry; Computer vision; Fourier analysis; Engineering; Medical Radiology
Description: 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.
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Table of contents: title: Introduction; title: The Image Plane; title: Two-dimensional Impulse Functions; title: The Two-dimensional Fourier Transform; title: Two-dimensional Convolution; title: The Two-dimensional Convolution Theorem; title: Sampling and Interpolation in Two Dimensions; title: Digital Operations; title: Rotational Symmetry; title: Imaging by Convolution; title: Diffraction Theory of Sensors and Radiators; title: Aperture Synthesis and Interferometry; title: Restoration; title: The Projection-slice Thoerem; title: Computed Tomography; title: Synthetic-aperature Radar; title: Two-dimensional Noise Images; title: Appendix A. Solutions to Problems; title: Index.