| Contributors |
|
vii | |
| Preface |
|
ix | |
| Future Contributions |
|
xi | |
|
1 Non-Negative Sparse Mathematical Morphology |
|
|
1 | (38) |
|
|
|
|
|
|
|
1 | (5) |
|
2 NMF and Sparse Variants |
|
|
6 | (4) |
|
2.1 Definition of NMF on Vector Space |
|
|
6 | (1) |
|
|
|
7 | (1) |
|
2.3 NMF with Sparseness Constraints |
|
|
8 | (1) |
|
2.4 A Few Properties of NMF |
|
|
9 | (1) |
|
3 Sparse Approximation to Binary Morphological Operators |
|
|
10 | (9) |
|
3.1 Sparse NMF Approximations of Binary Sets |
|
|
10 | (1) |
|
3.2 Sparse Max-Approximation to Binary Dilation and Erosion |
|
|
11 | (5) |
|
3.3 Sparse Max-Approximation to Binary Opening and Closing |
|
|
16 | (1) |
|
3.4 Consistency and Noise Robustness of Sparse Morphological Operators |
|
|
17 | (2) |
|
4 Sparse Approximation to Numerical Morphological Operators |
|
|
19 | (6) |
|
4.1 Sparse-NMF Processing of Upper Level Sets |
|
|
20 | (3) |
|
4.2 Sparse-NMF Representation and Processing of Gray-Scale Images |
|
|
23 | (2) |
|
|
|
25 | (7) |
|
5.1 Sparse Processing of Multivariate Boolean Textures |
|
|
26 | (2) |
|
5.2 Sparse Processing of Hyperspectral Images |
|
|
28 | (4) |
|
6 Conclusions and Perspectives |
|
|
32 | (7) |
|
|
|
34 | (5) |
|
2 Disorder Modifications of the Critical Temperature for Superconductivity: A Perspective from the Point of View of Nanoscience |
|
|
39 | (36) |
|
|
|
|
|
39 | (6) |
|
2 Phonon Operator and the Electron-Phonon Interaction |
|
|
45 | (1) |
|
3 Matsubara Many-Body Quantum Green's Functions for Phonons and Electrons |
|
|
46 | (1) |
|
4 Approximation of the Phonon Matsubara Propagator by Its Bare Value |
|
|
47 | (3) |
|
5 Finding the Renormalized Phonon Green's Function Due to Electron Screening |
|
|
50 | (1) |
|
6 Renormalized Electron Vertex Based on Phonon Modification |
|
|
51 | (1) |
|
7 Renormalized Total Potential Energy Due to Coulomb and Phonon Effects |
|
|
52 | (1) |
|
8 RPA Permittivity as Affected by the Correlation Function Polarization |
|
|
53 | (2) |
|
9 Disorder Characterized Impurity Scattering |
|
|
55 | (2) |
|
10 Ladder Superconducting Cooper Vertex with Disorder Incorporated |
|
|
57 | (1) |
|
11 Critical Temperature Obtained from a Cooper Instability Equation |
|
|
58 | (9) |
|
12 Relating the Disorder Potential Energy to the Gap Parameter |
|
|
67 | (4) |
|
|
|
71 | (4) |
|
|
|
71 | (1) |
|
|
|
72 | (3) |
|
3 The Struggle to Overcome Spherical Aberration in Electron Optics |
|
|
75 | (74) |
|
|
|
|
|
76 | (1) |
|
2 The Coefficient of Spherical Aberration |
|
|
76 | (4) |
|
|
|
76 | (2) |
|
2.2 The General Expressions for the Coefficients |
|
|
78 | (1) |
|
2.3 The Impossibility of Correction in a Centered System Without Space Charge |
|
|
79 | (1) |
|
2.4 The Round Lens "Without Aberration" |
|
|
79 | (1) |
|
3 The Search for Lenses with Little Spherical Aberration |
|
|
80 | (15) |
|
3.1 Weak Lenses with Minimum Aberration |
|
|
80 | (6) |
|
3.2 Work on Strong Lenses |
|
|
86 | (5) |
|
3.3 Combinations of Lenses: Asymmetrical Lenses |
|
|
91 | (4) |
|
4 Attempts to Correct the Aperture Aberration |
|
|
95 | (9) |
|
4.1 High Frequency Lenses |
|
|
96 | (1) |
|
|
|
97 | (3) |
|
4.3 Discontinuities in the Function Φ'(z)/Φ(z) |
|
|
100 | (4) |
|
4.4 Departure from Rotational Symmetry |
|
|
104 | (1) |
|
5 Correction by Means of Astigmatic Systems |
|
|
104 | (31) |
|
5.1 The General Principle |
|
|
104 | (1) |
|
5.2 Historical Survey of the Various Attempts at Correction |
|
|
105 | (8) |
|
5.3 Investigations of Quadrupole Lenses: Combinations Equivalent to Strongly Convergent Round Lenses |
|
|
113 | (5) |
|
5.4 The Aperture Aberrations of Quadrupole Lenses |
|
|
118 | (17) |
|
6 The Ultimate Performance of Corrected Systems |
|
|
135 | (7) |
|
6.1 Additional Aberrations Arising from Mechanical Defects |
|
|
135 | (5) |
|
|
|
140 | (1) |
|
6.3 Correction in Practice |
|
|
140 | (2) |
|
7 Perspectives for the Future |
|
|
142 | (7) |
|
7.1 The Present Situation |
|
|
142 | (1) |
|
7.2 New Means of Improvement |
|
|
143 | (2) |
|
|
|
145 | (4) |
| Index |
|
149 | |
