Advances in Electronics and Electron Physics (eBook)

Front Cover 1
Advances in Electronics and Electron Physics, Volume 88 4
Copyright Page 5
Contents 6
Contributors 8
Preface 10
Chapter 1. Integer Sinusoidal Transforms 14
I. Introduction 14
II. Sinusoidal Transforms 23
III. Dyadic Symmetry and Walsh Transforms 28
IV. Integer Sinusoidal Transforms 37
V. Integer Cosine Transforms 54
References 72
Chapter 2. Data Structures for Image Processing in C 76
I. Introduction 76
II. Image Representations 78
III. Previous Work 80
IV. Standards for Image Processing 85
V. Data Structure Design in C 86
VI. Function Interface Design in C 87
VII. Error Handling 91
VIII. A Small Example 91
IX. Implementation 93
X. Conclusions 121
References 122
Chapter 3. Electron Crystallography of Organic Molecules 124
I. Introduction 124
II. Historical Background 127
III. Methodology 130
IV. Perturbations to Diffraction Intensities 159
V. Applications 170
VI. Conclusions 197
Acknowledgments 198
References 198
Chapter 4. Fractal Signal Analysis Using Mathematical Morphology 212
I. Introduction 212
II. Morphological Signal Transformations 214
III. Fractal Dimensions 216
IV. Fractal Signals 226
V. Measuring the Fractal Dimension of 1D Signals 231
VI. Measuring the Fractal Dimension of 2D Signals 243
VII. Modeling Fractal Images Using Iterated Function Systems 250
VIII. Conclusions 255
Acknowledgments 256
References 256
Chapter 5. Fuzzy Set Theoretic Tools for Image Analysis 260
I. Introduction 260
II. Uncertainties in a Recognition System and Relevance of Fuzzy Set Theory 262
III. Image Ambiguity and Uncertainty Measures 264
IV. Flexibility in Membership Functions 273
V. Some Examples of Fuzzy Image-Processing Operations 277
VI. Feature/Knowledge Acquisition, Matching, and Recognition 285
VII. Fusion of Fuzzy Sets and Neural Networks: Neuro-Fuzzy Approach 291
VIII. Use of Genetic Algorithms 301
IX. Discussion 303
Acknowledgments 304
References 305
Chapter 6. The Differentiating Filter Approach to Edge Detection 310
I. Introduction 310
II. Putting Things in Perspective 320
III. Theory 322
IV. Theory Extensions 337
V. Postprocessing 346
VI. Conclusions 352
References 356
Index 360