The Theory of the Moiré Phenomenon
Who has not noticed, on one o~casion or another, those intriguing geometric patterns which appear at the intersection Of repetitive structures such as two far picket fences on a hill, the railings on both sides of a bridge, superposed layers of fabric, or folds of a nylon curtain? This fascinating p...
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| Format: | eBook |
| Language: | English |
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Dordrecht
Springer Netherlands
2000, 2000
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| Edition: | 1st ed. 2000 |
| Series: | Computational Imaging and Vision
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- A.5 The matrix notation, its appeal, and its limitations for our needs
- B. Almost-periodic functions and their spectra
- B.1 Introduction
- B.2 A simple illustrative example
- B.3 Definitions and main properties
- B.4 The spectrum of almost-periodic functions
- B.5 The different classes of almost-periodic functions and their spectra
- B.6 Characterization of functions according to their spectrum support
- B.7 Almost-periodic functions in two variables
- C. Miscellaneous issues and derivations
- C.1 Derivation of the classical moiré formula (2.9) of Sec. 2.4
- C.2 Derivation of the first part of Proposition 2.1 of Sec. 2.5
- C.3.1 Invariance of the 2D Fourier transform under rotations
- C.4 Shift and phase
- C.4.1 The shift theorem
- C.4.2 The particular case of periodic functions
- C.4.3 The phase of a periodic function: the ? and the ? notations
- C.6 The2D spectrum of a cosinusoidal zone grating
- C.7 The convolution of two orthogonal line-impulses
- 1. Introduction
- 2. Background and basic notions
- 3. Moiré minimization
- 4. The moiré profile form and intensity levels
- 5. The algebraic foundation of the spectrum properties
- 6. Fourier-based interpretation of the algebraic spectrum properties
- 7. The superposition phase
- 8. Macro- and microstructures in the superposition
- 9. Polychromatic moiré effects
- 10. Moirés between repetitive, non-periodic layers
- 11. Other possible approaches for moiré analysis
- Appendices
- A. Periodic functions and their spectra
- A.1 Introduction
- A.2 Periodic functions, their Fourier series and their spectra in the 1D case
- A.3 Periodic functions, their Fourier series and their spectra in the 2D case
- A.3.3 1-fold periodic functions in an arbitrary direction
- A.3.4 2-fold periodic functions in arbitrary directions (skew-periodic functions)
- A.4 The period-lattice and the frequency-lattice (= spectrum support)
- C.11 The spectrum of screen gradations
- C.12 Convergence issues related to Fourier series
- C.12.1 On the convergence of Fourier series
- C.12.2 Multiplication of infinite series
- C.13 Moiré effects in image reproduction
- D. Glossary of the main terms
- D.1 About the glossary
- D.2 Terms in the image domain
- D.3 Terms in the spectral domain
- D.4 Terms related to moiré
- D.5 Terms related to light and colour
- D.6 Miscellaneous terms
- List of notations and symbols
- List of abbreviations
- References