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Author: Martin Schetzen Publisher: ISBN: Category : Languages : en Pages : 73
Book Description
A study of linear interpolation of sampled random processes is presented in this report. A mathematical model of a sampler and of an interpolator are first developed. These models are used to derive general expressions for the mean-square interpolation error. The specific examples of zero- and first-order interpolation are used to illustrate the expressions. The problem of optimum interpolation is then formulated using the criterion that the mean-square error be a minimum. Explicit expressions for the optimum causal linear filter for interpolation using corrupted samples and expressions for the resulting minimum mean-square error are obtained. These results are illustrated by some specific examples of practical importance. A simple upper bound of the mean-square error is derived and a generalization of the sampling theorem for random functions is obtained by use of this bound. Although the important case of periodic sampling is emphasized in this report, the extension to a periodic sampling is given. (Author).
Author: Martin Schetzen Publisher: ISBN: Category : Languages : en Pages : 73
Book Description
A study of linear interpolation of sampled random processes is presented in this report. A mathematical model of a sampler and of an interpolator are first developed. These models are used to derive general expressions for the mean-square interpolation error. The specific examples of zero- and first-order interpolation are used to illustrate the expressions. The problem of optimum interpolation is then formulated using the criterion that the mean-square error be a minimum. Explicit expressions for the optimum causal linear filter for interpolation using corrupted samples and expressions for the resulting minimum mean-square error are obtained. These results are illustrated by some specific examples of practical importance. A simple upper bound of the mean-square error is derived and a generalization of the sampling theorem for random functions is obtained by use of this bound. Although the important case of periodic sampling is emphasized in this report, the extension to a periodic sampling is given. (Author).
Author: Publisher: ISBN: Category : Aeronautics Languages : en Pages : 784
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: Robert J.II Marks Publisher: Springer Science & Business Media ISBN: 146139757X Category : Technology & Engineering Languages : en Pages : 364
Book Description
Advanced Topics in Shannon Sampling and Interpolation Theory is the second volume of a textbook on signal analysis solely devoted to the topic of sampling and restoration of continuous time signals and images. Sampling and reconstruction are fundamental problems in any field that deals with real-time signals or images, including communication engineering, image processing, seismology, speech recognition, and digital signal processing. This second volume includes contributions from leading researchers in the field on such topics as Gabor's signal expansion, sampling in optical image formation, linear prediction theory, polar and spiral sampling theory, interpolation from nonuniform samples, an extension of Papoulis's generalized sampling expansion to higher dimensions, and applications of sampling theory to optics and to time-frequency representations. The exhaustive bibliography on Shannon sampling theory will make this an invaluable research tool as well as an excellent text for students planning further research in the field.
Author: Robert J. Marks Publisher: Oxford University Press ISBN: 0195335929 Category : Mathematics Languages : en Pages : 799
Book Description
This practical, applications-based professional handbook comprehensively covers the theory and applications of Fourier Analysis, spanning topics from engineering mathematics, signal processing and related multidimensional transform theory, and quantum physics to elementary deterministic finance and even the foundations of western music theory.
Author: Jos van der Sloten Publisher: Springer Science & Business Media ISBN: 3540892087 Category : Technology & Engineering Languages : en Pages : 2944
Book Description
The 4th European Congress of the International Federation for Medical and Biological Federation was held in Antwerp, November 2008. The scientific discussion on the conference and in this conference proceedings include the following issues: Signal & Image Processing ICT Clinical Engineering and Applications Biomechanics and Fluid Biomechanics Biomaterials and Tissue Repair Innovations and Nanotechnology Modeling and Simulation Education and Professional
Author: Jean-Bernard Martens Publisher: Springer Science & Business Media ISBN: 1461504430 Category : Computers Languages : en Pages : 560
Book Description
Image Technology Design: A Perceptual Approach is an essential reference for both academic and professional researchers in the fields of image technology, image processing and coding, image display, and image quality. It bridges the gap between academic research on visual perception and image quality and applications of such research in the design of imaging systems. This book has been written from the point of view of an electrical engineer interested in the display, processing and coding of images, and frequently involved in applying knowledge from visual psychophysics, experimental psychology, statistics, etc., to the design of imaging systems. It focuses on the exchange of ideas between technical disciplines in image technology design (such as image display or printer design and image processing) and visual psychophysics. This is accomplished by the consistent use of a single mathematical approach (based on linear vector spaces) throughout. Known facts from color vision, image sampling and quantization are given a new formulation and, in some instances, a new interpretation.
Author: Azriel Rosenfeld Publisher: Academic Press ISBN: 0323148263 Category : Technology & Engineering Languages : en Pages : 470
Book Description
Digital Picture Processing is a technique-oriented book aiming to teach the more extensive treatments of digital pictures. The book discusses picture processing; the computer representation of pictures; and the mathematical preliminaries involved. The visual perception, the digitization and the different techniques on sampling, and different techniques on compression are also covered. The book also explains the enhancement techniques, such as sharpening and moothing; filtering techniques used in restoration; and the geometry and description of a picture. The text is recommended to students of electrical engineering and computer science, who intend to learn better techniques in picture processing through digital means. The book is also suitable as an advanced undergraduate or a graduate course in picture processing.
Author: Andrew S. Glassner Publisher: Elsevier ISBN: 0080514758 Category : Computers Languages : en Pages : 673
Book Description
Image synthesis, or rendering, is a field of transformation: it changes geometry and physics into meaningful images. Because the most popular algorithms frequently change, it is increasingly important for researchers and implementors to have a basic understanding of the principles of image synthesis. Focusing on theory, Andrew Glassner provides a comprehensive explanation of the three core fields of study that come together to form digital image synthesis: the human visual system, digital signal processing, and the interaction of matter and light. Assuming no more than a basic background in calculus, Glassner transforms his passion and expertise into a thorough presentation of each of these disciplines, and their elegant orchestration into modern rendering techniques such as radiosity and ray tracing.
Author: Martin Schetzen
Author: Martin Schetzen
Author: 
Author: 
Author: 
Author: Robert J.II Marks
Author: Robert J. Marks
Author: Jos van der Sloten
Author: Jean-Bernard Martens
Author: Azriel Rosenfeld
Author: Andrew S. Glassner