PirateBay Download | bracewell r fourier analysis imaging 2003 rep

bracewell r fourier analysis imaging 2003 rep

Type:: E-books
Files:: 1
Size:: 75.6 MB
Uploaded On:: June 11, 2022, 10:27 a.m.
Added By:: andryold1
Seeders:: 2
Leechers:: 0
Info Hash:: 31169D47DAC931E718DC9C7833D7E36EEEB812A9

Textbook in PDF format 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. Introduction Summary of the Chapters Notation Teaching a Course from This Book The Problems Aspects of Imaging Computer Code Literature References Recommendation The Image Plane Modes of Representation Some Properties of a Function of Two Variables Projection of Solid Objects Image Distortion Operations in the Image Plane Binary Images Operations on Digital Images Reflectance Distribution Data Compression Summary Appendix A Contour Plot Programt Literature Cited Further Reading Problems Two-Dimensional Impulse Functions The Two-Dimensional Point Impulse Rules for Interpreting Delta Notation Generalized Functions The Shah Functions iii and 2III Line Impulses Regular Impulse Patterns Interpretation of Rectangle Function of f(x) Interpretation of Rectangle Function of f(x,y) General Rule for Line Deltas The Ring Impulse Impulse Function of f(x,y) Sifting Property Derivatives of Impulses Summary Literature Cited Problems The Two-Dimensional Fourier Transform One Dimension The Fourier Component in Two Dimensions Three or More Dimensions Vector Form of Transform The Corrugation Viewpoint Examples of Transform Pairs Theorems for Two-Dimensional Fourier Transforms The Two-Dimensional Hartley Transform Theorems for the Hartley Transform Discrete Transforms Summary Literature Cited Further Reading Problems Two-Dimensional Convolution Convolution Defined Cross-Correlation Defined Feature Detection by Matched Filtering Autocorrelation Defined Understanding Autocorrelation Cross-Correlation Islands and Dilation Lazy Pyramid and Chinese Hat Function Central Value and Volume of Autocorrelation The Convolution Sum Computing the Convolution Digital Smoothing Matrix Product Notation Summary Literature Cited Problems The Two-Dimensional Convolution Theorem Convolution Theorem An Instrumental Caution Point Response and Transfer Function Autocorrelation Theorem Cross-Correlation Theorem Factorization and Separation Convolution with the Hartley Transform Summary Problems Sampling and Interpolation in Two Dimensions What is a Sample Sampling at a Point Sampling on a Point Pattern, and the Associated Transfer Function Sampling Along a Line Curvilinear Sampling The Shah Function Fourier Transform of the Shah Function Other Patterns of Sampling Factoring The Two-Dimensional Sampling Theorem Undersampling Aliasing Circular Cutoff Double-Rectangle Pass Band Discrete Aspect of Sampling Interpolating Between Samples Interlaced Sampling Appendix The Two-Dimensional Fourier Transform of the Shah Function Literature Cited Problems Digital Operations Smoothing Nonconvolutional Smoothing Trend Reduction Sharpening What is a Digital Filter Guard Zone Transform Aspect of Smoothing Operator Finite Impulse Response (FIR) Special Filters Densifying The Arbitrary Operator Derivatives The Laplacian Operator Projection as a Digital Operation Moire Patterns Functions of an Image Digital Representation of Objects Filling a Polygon Edge Detection and Segmentation Discrete Binary Objects Operations on Discrete Binary Objects Union and Intersection Pixel Morphology Dilation Coding a Binary Matrix Granulometry Conclusion Literature Cited Problems Rotational Symmetry What Is a Bessel Function The Hankel Transform The jinc Function The Struve Function The Abel Transform Spin Averaging Angular Variation and Chebyshev Polynomials Summary Table of the jinc Function Problems Imaging by Convolution Mapping by Antenna Beam Scanning the Spherical Sky Photography Microdensitometry Video Recording Eclipsometry The Scanning Acoustic Microscope Focusing Underwater Sound Literature Cited Problems Diffraction Theory of Sensors and Radiators The Concept of Aperture Distribution Source Pair and Wave Pair Two-Dimensional Apertures Rectangular Aperture Example of Circular Aperture Duality The Thin Lens What Happens at a Focus Shadow of a Straight Edge Fresnel Diffraction in General Literature Cited Problems Aperture Synthesis and Interferometry Image Extraction from a Field Incoherent Radiation Source Field of Incoherent Source Correlation in the Field of an Incoherent Source Visibility Measurement of Coherence Notation Interferometers Radio Interferometers Rationale Behind Two-Element Interferometer Aperture Synthesis (Indirect Imaging) Literature Cited Problems Restoration Restoration by Successive Substitutions Running Means Eddington’s Formula Finite Differences Finite Difference Formula Chord Construction The Principal Solution Finite Differencing in Two Dimensions Restoration in the Presence of Errors The Additive Noise Signal Determination of the Real Restoring Function Determination of the Complex Restoring Function Some Practical Remarks Artificial Sharpening Antidiffusion Nonlinear Methods Restoring Binary Images CLEAN Maximum Entropy Literature Cited Problems The Projection-Slice Theorem Circular Symmetry Reviewed The Abel-Fourier-Hankel Cycle The Projection-Slice Theorem Literature Cited Problems Computed Tomography Workingfrom Projections An X-Ray Scanner Fourier Approach to Computed Tomography Back-Projection Methods The Radon Transform The Impulse Response of the Radon Transformation Some Radon Transforms The Eigenfunctions Theorems for the Radon Transform The Radon Boundary Applications Literature Cited Problems Synthetic-Aperture Radar Doppler Radar Some History of Radiofrequency Doppler Range-Doppler Radar Radargrarnmetry Literature Cited Problems Two-Dimensional Noise Images Some Types of Random Image Gaussian Noise The Spatial Spectrum of a Random Scatter Autocorrelation of a Random Scatter Pseudorandom Scatter Random Orientation Nonuniform Random Scatter Spatially Correlated Noise The Familiar Maze The Drunkard’s Walk Fractal Polygons Conclusion Literature Cited Problems Appendix A Solutions to Problems

Get This Torrent

Bracewell R. Fourier Analysis and Imaging 2003.pdf 75.6 MB

Details for: Bracewell R. Fourier Analysis and Imaging 2003 Rep

bracewell r fourier analysis imaging 2003 rep

Similar Posts: