简介
This book is a result of many years' research carried out with the purpose of evolving a logico-mathematical framework for symbolic computing. It gives a first time exposure to certain ideas and concepts related to non-numerical signal and image processing and provides certain latest technologies that may serve as a repertoire of tools that are of significant use in formulating DNA computing paradigms. This book is divided into five parts: 1. Symbolic Signal Processing 2. A Language Theoretic Approach to Signal Processing 3. Theory of Constructive Signal Processing 4. Symbolic Image Processing 5. Applications of Cellular Logic array Processing
Also available:
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目录
Table Of Contents:
Part I Symbolic Signal Processing
1 Nonnumerical Representation And Processing Of Signals And Images 1(10)
2 Normal Algorithms 11(14)
3 Normal Algorithms For Implementing Nonnumerical Signal Processing Operations 25(12)
4 Realization Of Certain Normal Algorithmic Signal Processing Operations 37(40)
Part II A Language Theoretic Approach To Signal Processing
5 Study Of Normal Algorithmic Signal Processing Systems In Terms Of Formal Languages Generated By a Grammar 77(22)
6 Special Automata For Normal Algorithms And Their Transcriptions 99(26)
Part III Theory Of Constructive Signal Processing
7 The Logic Of Constructive Signal Processing 125(12)
8 Homomorphisms In the Theory Of Constructive Signal Processing 137(10)
9 A Constructive Reformulation Of Extended Topological Filters 147(28)
10 Quantifiable Measures Of Constructive Extended Filters In Terms Of Normal Algorithmic Operators 175(8)
Part IV Symbolic Image Processing
11 Cellular Automata And Their Realizations 183(28)
12 Normal Algorithmic Realization Of Cellular Automata 211(20)
13 Pattern Generation 231(14)
14 Image Processing 245(42)
15 Cellular Logic Array Processing Of Digital Images On a Hexagonal Grid 287(10)
16 On The Notion Of a Geometric Filter And Its Relevance In the Neighborhood Processing Of Digital Images 297(16)
17 Pextral Coding Of Digital Images 313(6)
Part V Applications of Cellular Logic Array Processing
18 Research Areas Related To Symbolic Processing Of Signals And Images 319(26)
19 Thinning Lattice Gas Automaton Model For Solidification Process 345(6)
20 Cellular Automata Modeling of Undirectional Fluid Flow 351(14)
21 Cellular Logic Array Processing Of Laser Scanned Data Of Metal Surfaces 365(6)
22 Modeling Of Collision Processes 371(16)
References 387(4)
Index 391
Part I Symbolic Signal Processing
1 Nonnumerical Representation And Processing Of Signals And Images 1(10)
2 Normal Algorithms 11(14)
3 Normal Algorithms For Implementing Nonnumerical Signal Processing Operations 25(12)
4 Realization Of Certain Normal Algorithmic Signal Processing Operations 37(40)
Part II A Language Theoretic Approach To Signal Processing
5 Study Of Normal Algorithmic Signal Processing Systems In Terms Of Formal Languages Generated By a Grammar 77(22)
6 Special Automata For Normal Algorithms And Their Transcriptions 99(26)
Part III Theory Of Constructive Signal Processing
7 The Logic Of Constructive Signal Processing 125(12)
8 Homomorphisms In the Theory Of Constructive Signal Processing 137(10)
9 A Constructive Reformulation Of Extended Topological Filters 147(28)
10 Quantifiable Measures Of Constructive Extended Filters In Terms Of Normal Algorithmic Operators 175(8)
Part IV Symbolic Image Processing
11 Cellular Automata And Their Realizations 183(28)
12 Normal Algorithmic Realization Of Cellular Automata 211(20)
13 Pattern Generation 231(14)
14 Image Processing 245(42)
15 Cellular Logic Array Processing Of Digital Images On a Hexagonal Grid 287(10)
16 On The Notion Of a Geometric Filter And Its Relevance In the Neighborhood Processing Of Digital Images 297(16)
17 Pextral Coding Of Digital Images 313(6)
Part V Applications of Cellular Logic Array Processing
18 Research Areas Related To Symbolic Processing Of Signals And Images 319(26)
19 Thinning Lattice Gas Automaton Model For Solidification Process 345(6)
20 Cellular Automata Modeling of Undirectional Fluid Flow 351(14)
21 Cellular Logic Array Processing Of Laser Scanned Data Of Metal Surfaces 365(6)
22 Modeling Of Collision Processes 371(16)
References 387(4)
Index 391
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