Published on Jan 1, 1983
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1 Author (Thomas Brox)
28 Citations
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#1D.K. Mitrakos (College of Science and Technology)H-Index: 1
#2A.G. Constantinides (College of Science and Technology)H-Index: 1
The concept of composite source coding for efficient image transmission or storage is addressed in the paper, and specific properties characterising the component sources are determined. An approach is developed which decomposes typical image signals into two independent additive components. Each component is subsequently encoded separately for storage or transmission. These individual components are combined at the receiver (or recovery stage) to produce a replica of the original signal. Specia...
7 CitationsSource
#1D. Mitrakos (Imperial College London)H-Index: 2
#2A. ConstantinidesH-Index: 1
In this work the concept of composite source coding is addressed with particular reference to image signals and specific properties characterising the component sources are determined. The physical problem of source decomposition is formulated under a general formula in such a way that dynamic programming is used as a key algorithm to achieve efficiently the signal partitioning. The resulting solution is optimum in the sense that the rate required to transmit the component signals is minimum for...
8 CitationsSource
#1A. K. Jian (UC Davis: University of California, Davis)H-Index: 153
Several state-of-the-art mathematical models useful in image processing are considered. These models include the traditional fast unitary transforms, autoregessive and state variable models as well as two-dimensional linear prediction models. These models introduced earlier [51], [52] as low-order finite difference approximations of partial differential equations are generalized and extended to higher order in the framework of linear prediction theory. Applications in several image Processing pr...
370 CitationsSource
#1A. K. Jian (UC Davis: University of California, Davis)H-Index: 153
With the continuing growth of modern communications technology, demand for image transmission and storage is increasing rapidly. Advances in computer technology for mass storage and digital processing have paved the way for implementing advanced data compression techniques to improve the efficiency of transmission and storage of images. In this paper a large variety of algorithms for image data compression are considered. Starting with simple techniques of sampling and pulse code modulation (PCM...
669 CitationsSource
#1Andrew P. SageH-Index: 8
#2James L. MelsaH-Index: 3
Last. W. J. Steinway (MIT: Massachusetts Institute of Technology)H-Index: 1
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Abstract : Much current interest in the areas of communication and control is devoted to a study of estimation theory. This text provides a comprehensive treatment of estimation theory which should be suitable for graduate level engineers. There are nine chapters in the text: Introduction to Estimation Theory, Review of Probability Theory and Random Variables, Stochast Processes, Gauss-Markov Processes and Stochastic Differential Equations, Decision Theory, Basic Estimation Theory, The Optimum L...
685 Citations
Autoregressive-moving average dynamic models are construtted for nonstationary processes which exhibit cyclic behavior. Recursive linear mean-square prediction and filtering policies are then formulated which utilize these models. Application to a problem in two-dimensional image restoration is considered in detail.
32 CitationsSource
189 CitationsSource
Rate-distortion functions for 2-dimensional homogeneous isotropic images are compared with the performance of five source encoders designed for such images. Both unweighted and frequency weighted mean-square error distortion measures are considered. The coders considered are a) differential pulse code modulation (DPCM) using six previous samples or picture elements (pels) in the prediction--herein called 6-pel DPCM, b) simple DPCM using single-sample prediction, c) 6-pel DPCM followed by entropy...
58 CitationsSource
From the Publisher: An introduction to the mathematical theory of multistage decision processes, this text takes a functional equation approach to the discovery of optimum policies. Written by a leading developer of such policies, it presents a series of methods, uniqueness and existence theorems, and examples for solving the relevant equations. The text examines existence and uniqueness theorems, the optimal inventory equation, bottleneck problems in multistage production processes, a new forma...
11.8k Citations
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