Advances in Imaging and Electron Physics

Description

Advances in Imaging & Electron Physics merges two long-running serials--Advances in Electronics & Electron Physics and Advances in Optical & Electron Microscopy. The series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.

Front Cover 2
Advances in Imaging and Electron Physics, Volume 111 5
Copyright Page 6
Contents 7
Contributors 9
Preface 11
Forthcoming Contributors 13
Chapter 1. Number Theoretic Transforms and their Applications in Image Processing S. BOUSSAKTA' AND A. G. J. HOLT 19
- I. Introduction 21
- II. Number Theoretic Transforms and Their Application to Convolutions 22
- III. Application of Two-dimensional Fermat Number Transforms to the Calculation of 2-D Convolutions 27
- IV. 2-D NTTs of Periodic Functions and Their Applications 56
- V. Another Family of Number Theoretic Transforms using the Mersenne Numbers (NMNTs) 71
- VI. Combination of 2-D NTTs Using the 2-D MRC Suitable for Parallel Image-Processing Applications 83
- VII. Hardware Implementations 91

Front Cover 2
Advances in Imaging and Electron Physics, Volume 111 5
Copyright Page 6
Contents 7
Contributors 9
Preface 11
Forthcoming Contributors 13
Chapter 1. Number Theoretic Transforms and their Applications in Image Processing S. BOUSSAKTA' AND A. G. J. HOLT 19
- I. Introduction 21
- II. Number Theoretic Transforms and Their Application to Convolutions 22
- III. Application of Two-dimensional Fermat Number Transforms to the Calculation of 2-D Convolutions 27
- IV. 2-D NTTs of Periodic Functions and Their Applications 56
- V. Another Family of Number Theoretic Transforms using the Mersenne Numbers (NMNTs) 71
- VI. Combination of 2-D NTTs Using the 2-D MRC Suitable for Parallel Image-Processing Applications 83
- VII. Hardware Implementations 91
- VIII. Conclusions 98
- References 103
- List of Abbreviations and Symbols 107
- Acknowledgments 108
Chapter 2. On the Electron-Optical Properties of the ZrO/W Schottky Electron Emitter 109
- I. Introduction 110
- II. Electron Emission Theory 113
- III . Boersch Effect for Electron Emitters 134
- IV. Experimental Methods and Systems 137
- V. Experiments on ZrO/W Schottky Emitters 146
- VI. Applications to Other Emitters 174
- VII. Conclusions 180
- References 182
Chapter 3. The Size of Objects in Natural and Artificial Images 185
- I. Introduction 186
- II. Statistics of Natural Images: A Review 188
- III . Sizes of Sections in Natural Images 193
- IV. Size of Sections and the BV Norm of Natural Images 204
- V. The Dead Leaves Model 210
- VI. A Short Review of Texture Synthesis by Mathematical Methods 228
- VII. Some Principles for the Synthesis of Abstract Natural Images 246
- VIII. Appendix: Matheron’s Dead Leaves Model 253
- References 257
- Acknowledgements 260
Chapter 4. Reconstruction of Nuclear Magnetic Resonance Imaging Data from Non-Cartesian Grids 261
- I. Introduction 262
- II. Gridding Reconstruction and Direct Reconstruction 272
- III. Natural k-Plane Coordinate Systems 277
- IV. Integrating Curve Band-pass Operators 281
- V. Curve Band-pass Operator Point-Spread Functions 299
- VI. Direct Reconstruction Using Natural k-Plane Coordinates 330
- VII. Conclusion 341
- References 343
Chapter 5. An Integrated Approach to Computational Vision 345
- I. Introduction 345
- II. Review of the Edge-Strength Function 350
- III. Geometry of the Edge-Strength Function 353
- IV. Extraction and Representation of Perceptual Information 360
- V. Shape Skeleton and Shape Segmentation (2-D Case) 369
- VI. Coloring Nested Symmetries in Higher Dimensions 380
- Abstract 383
- References 383
Index 385

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