| ISBN |
9789401142052 |
| 기타 표준번호 |
10.1007/978-94-011-4205-2 |
| 청구기호 |
QA403.5-404.5 |
| 형태사항 |
XVII, 474 p. 119 illus., 4 illus. in color. online resource.
|
| 언어 |
English |
| 내용 |
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.
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| 주제 |
Fourier analysis.
Lasers.
Computer vision.
Mathematics.
Fourier Analysis.
Laser.
Computer Vision.
Applications of Mathematics.
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| 보유판 및 특별호 저록 |
Springer Nature eBook
Printed edition: 9780792359494
Printed edition: 9789401142069
Printed edition: 9780792359500
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| QR CODE |
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