Ebook: Fourier Analysis and Imaging
Author: Ronald Bracewell (auth.)
- Tags: Electrical Engineering, Image Processing and Computer Vision, Fourier Analysis, Imaging / Radiology, Analytical Chemistry
- Year: 2003
- Publisher: Springer US
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-xiv
Introduction....Pages 1-19
The Image Plane....Pages 20-110
Two-Dimensional Impulse Functions....Pages 111-139
The Two-Dimensional Fourier Transform....Pages 140-173
Two-Dimensional Convolution....Pages 174-203
The Two-Dimensional Convolution Theorem....Pages 204-221
Sampling and Interpolation in Two Dimensions....Pages 222-266
Digital Operations....Pages 267-345
Rotational Symmetry....Pages 346-385
Imaging by Convolution....Pages 386-401
Diffraction Theory of Sensors and Radiators....Pages 402-429
Aperture Synthesis and Interferometry....Pages 430-452
Restoration....Pages 453-492
The Projection-Slice Theorem....Pages 493-504
Computed Tomography....Pages 505-544
Synthetic-Aperture Radar....Pages 545-559
Two-Dimensional Noise Images....Pages 560-622
Back Matter....Pages 623-689
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.
Content:
Front Matter....Pages i-xiv
Introduction....Pages 1-19
The Image Plane....Pages 20-110
Two-Dimensional Impulse Functions....Pages 111-139
The Two-Dimensional Fourier Transform....Pages 140-173
Two-Dimensional Convolution....Pages 174-203
The Two-Dimensional Convolution Theorem....Pages 204-221
Sampling and Interpolation in Two Dimensions....Pages 222-266
Digital Operations....Pages 267-345
Rotational Symmetry....Pages 346-385
Imaging by Convolution....Pages 386-401
Diffraction Theory of Sensors and Radiators....Pages 402-429
Aperture Synthesis and Interferometry....Pages 430-452
Restoration....Pages 453-492
The Projection-Slice Theorem....Pages 493-504
Computed Tomography....Pages 505-544
Synthetic-Aperture Radar....Pages 545-559
Two-Dimensional Noise Images....Pages 560-622
Back Matter....Pages 623-689
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