Advances in Imaging and Electron Physics (eBook)

Front Cover 1
Advances in Imaging and Electron Physics, Volume 90 4
Copyright Page 5
Contents 6
Contributors 8
Preface 10
Chapter 1. Minimax Algebra and Applications 16
I. Discrete Events 17
II. Critical Events 31
III. Scheduling and Approximation 41
IV. Path Problems 51
V. Connectivity 60
VI. The Steady State 73
VII. Infinite Processes 90
VIII. Maxpolynomials 100
IX. Efficient Rational Algebra 114
X. Miscellaneous Topics 124
References 135
Chapter 2. Physical Information and the Derivation of Electron Physics 138
I. Introduction 139
II. The Zero Property of Lagrangians 141
III. Fisher Information 143
IV. Principle of Extreme Physical Information 154
V. Special Relativity 162
VI. Classical Electrodynamics 164
VII. Quantum Mechanics 169
VIII. Uncertainty Principles 180
IX. General Relativity 185
X. Power Spectral 1/f Noise 189
XI. Synopsis and Highlights of Derivations 200
Appendix A. Fisher Information Obeys Additivity 205
Appendix B. Maximal Information and Minimal Error in Characteristic State 206
Appendix C. Properties of Information Divergence Quantity I (., .') 209
Appendix D. Maxwell's Equations from the Vector Wave Equation 211
Appendix E. Derivation of Eq (VII.39) 213
Appendix F. Evaluation of Certain Integrals 216
References 217
Chapter 3. New Developments of Electron Diffraction Theory 220
I. Introduction 221
II. General Theory 222
III. Dynamical Elastic Diffraction by Crystals 236
IV. Perturbation Methods for Periodic Structures 265
V. Perturbation Methods for Nonperiodic Structures 287
VI. Bloch Wave Channeling and Resonance Scattering 308
Appendix A. Green's Functions 348
Appendix B. Crystal Structure Factors and Potential 352
Appendix C. Optical Potential 355
References 364
Chapter 4. Parallel Image Processing with Image Algebra on SIMD Mesh-Connected Computers 368
I. Introduction 368
II. Overview of Image Algebra 372
III. SIMD Mesh-Connected Computers 378
IV. Parallel Algorithms for Image Algebra Primitives 383
V. Parallel Image Processing with Image Algebra 397
VI. Concluding Remarks and Future Research 439
References 442
Index 448