The Theory of the Moiré Phenomenon / by Isaac Amidror.
This book presents the most comprehensive and methodical work on the theory of the moiré phenomenon, providing a full general-purpose and application-independent exposition of this fascinating effect. Based on the Fourier theory, it leads the reader through the various phenomena which occur in the s...
Saved in:
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Full Text (via Springer) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands,
2000.
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| Series: | Computational imaging and vision ;
15. |
| Subjects: |
MARC
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| 100 | 1 | |a Amidror, Isaac. | |
| 245 | 1 | 4 | |a The Theory of the Moiré Phenomenon / |c by Isaac Amidror. |
| 260 | |a Dordrecht : |b Springer Netherlands, |c 2000. | ||
| 300 | |a 1 online resource (xvii, 474 pages) | ||
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| 490 | 1 | |a Computational Imaging and Vision, |x 1381-6446 ; |v 15. | |
| 505 | 0 | |a 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) -- 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 The 2D spectrum of a cosinusoidal zone grating -- C.7 The convolution of two orthogonal line-impulses -- 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. | |
| 520 | |a This book presents the most comprehensive and methodical work on the theory of the moiré phenomenon, providing a full general-purpose and application-independent exposition of this fascinating effect. Based on the Fourier theory, it leads the reader through the various phenomena which occur in the superposition of repetitive layers, both in the image and in the spectral domains. The first chapters of the book present the basic theory, covering the superposition of monochrome, periodic layers. In later chapters the theory is extended to the even more interesting cases of polychromatic moirés and moirés between repetitive, non-periodic layers. Throughout the whole text the book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular. Audience: This book is intended for students, scientists, engineers and any readers who wish to widen their knowledge of the moiré effect. It also offers a beautiful demonstration of the Fourier theory and its relationship with other fields of mathematics and science. The prerequisite mathematical background is limited to an elementary familiarity with the Fourier theory. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Computer vision. | |
| 650 | 0 | |a Fourier analysis. | |
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| 650 | 7 | |a Fourier analysis. |2 fast |0 (OCoLC)fst00933401. | |
| 650 | 7 | |a Mathematics. |2 fast |0 (OCoLC)fst01012163. | |
| 776 | 0 | 8 | |i Print version: |z 9780792359500. |
| 830 | 0 | |a Computational imaging and vision ; |v 15. | |
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