Advances in Imaging and Electron Physics
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Table of contents
- Contentsv
- Contributorsvii
- Prefaceix
- Forthcoming Contributorsxi
- Chapter 1. Number Theoretic Transforms and their Applications in Image Processing1
- I. Introduction3
- II. Number Theoretic Transforms and Their Application to Convolutions4
- III. Application of Two-dimensional Fermat Number Transforms to the Calculation of 2-D Convolutions9
- IV. 2-D NTTs of Periodic Functions and Their Applications38
- V. Another Family of Number Theoretic Transforms using the Mersenne Numbers (NMNTs)53
- VI. Combination of 2-D NTTs Using the 2-D MRC Suitable for Parallel Image-Processing Applications65
- VII. Hardware Implementations73
- VIII. Conclusions80
- References85
- List of Abbreviations and Symbols89
- Acknowledgments90
- Chapter 2. On the Electron-Optical Properties of the ZrO/W Schottky Electron Emitter91
- I. Introduction92
- II. Electron Emission Theory95
- III. Boersch Effect for Electron Emitters116
- IV. Experimental Methods and Systems119
- V. Experiments on ZrO/W Schottky Emitters128
- VI. Applications to Other Emitters156
- VII. Conclusions162
- References164
- Chapter 3. The Size of Objects in Natural and Artificial Images167
- I. Introduction168
- II. Statistics of Natural Images. A Review170
- III. Sizes of Sections in Natural Images175
- IV. Size of Sections and the BV Norm of Natural Images186
- V. The Dead Leaves Model192
- VI. A Short Review of Texture Synthesis by Mathematical Methods210
- VII. Some Principles for the Synthesis of Abstract Natural Images228
- VIII. Appendix: Matheron’s Dead Leaves Model235
- References239
- Acknowledgements242
- Chapter 4. Reconstruction of Nuclear Magnetic Resonance Imaging Data from Non-Cartesian Grids243
- I. Introduction244
- II. Gridding Reconstruction and Direct Reconstruction254
- III. Natural k-Plane Coordinate Systems259
- IV. Integrating Curve Band-pass Operators263
- V. Curve Band-pass Operator Point-Spread Functions281
- VI. Direct Reconstruction Using Natural k-Plane Coordinates312
- VII. Conclusion323
- References325
- Chapter 5. An Integrated Approach to Computational Vision327
- I. Introduction327
- II. Review of the Edge-Strength Function332
- III. Geometry of the Edge-Strength Function335
- IV. Extraction and Representation of Perceptual Information342
- V. Shape Skeleton and Shape Segmentation (2-D Case)351
- VI. Coloring Nested Symmetries in Higher Dimensions362
- Abstract365
- References365
- Index367
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.