Formerly Advances in Electronics and Electron Physics (eBook)

Front Cover 1
Advances in Imaging and Electron Physics, Volume 93 4
Copyright Page 5
Contents 6
Contributors 8
Preface 10
Chapter 1. Group Invariant Fourier Transform Algorithms 14
I. Introduction 15
II. GroupTheory 16
III. FT of a Finite Abelian Group 27
IV. FFT Algorithms 29
V. Examples and Implementations 34
VI. Affine Group RT Algorithms 43
VII. Implementation Results 55
VIII. Affine Group CT FFT 59
IX. Incorporating ID Symmetries in FFT 66
References 68
Chapter 2. Crystal-Aperture STEM 70
I. Introduction 70
II. Theoretical Considerations and Experimental Evidence 72
III. Experimental Results in Imaging 103
IV. Summary and Conclusions 119
References 120
Chapter 3. Phase Retrieval Using the Properties of Entire Functions 122
I . Introduction 122
II. Theoretical Background 125
III. Extension to Two-Dimensional Phase Retrieval 144
IV. Application to Related Problems 152
V. Conclusions 180
References 181
Chapter 4. Multislice Approach to Lens Analysis 186
I. Introduction 186
II. Standard Multislice and BPM Equations and First Applications 189
III. Application of the Multislice Equations to Round Symmetric Electron Lenses 199
IV. Improved BPM Equations and Application to Gradient Index Lenses 215
V. Beyond the Paraxial Approximation 220
VI. Conclusions 228
References 229
Chapter 5. Orientation Analysis and Its Applications in Image Analysis 232
I. Introduction 233
II. Definition of the Task 237
III. Image Acquisition 241
IV. Image Processing and Analysis of Orientation 244
V. Generalized Intensity Gradient Operators 259
VI. Enhanced Orientation Analysis–Domain Segmentation 300
VII. Applications of Orientation Analysis 313
VIII. Implementation and Automation of Orientation Analysis 332
IX. Concluding Remarks 336
References 339
Index 344