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Harmonic analysis. Fourier analysis

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Differential geometry. Global analysis --- Harmonic analysis. Fourier analysis --- Differential equations --- Operational research. Game theory --- Mathematical control systems --- Mathematical statistics --- Mathematics --- FT (Fourier transformatie) --- differentiaalvergelijkingen --- toegepaste wiskunde --- speltheorie

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517.53 --- 517.53 Functions of a complex variable --- Functions of a complex variable --- Fonctions d'une variable complexe --- Functions of complex variables --- Complex variables --- Elliptic functions --- Functions of real variables --- Complex analysis --- Harmonic analysis. Fourier analysis

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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 phenomenon, known as the moire effect, has found useful applications in several fields of science and technology, such as metrology, strain analysis or even document authentication and anti-counterfeiting. However, in other situations moire patterns may have an unwanted, adverse effect. This is the case in the printing world, and, in particular, in the field of colour reproduction: moire patterns which may be caused by the dot-screens used for colour printing may severely deteriorate the image quality and tum into a real printer's nightmare. The starting point of the work on which this book is based was, indeed, in the research of moire phenomena in the context of the colour printing process. The initial aim of this research was to understand the nature and the causes of the superposition moire patterns between regular screens in order to find how to avoid, or at least minimize, their adverse effect on colour printing. This interesting research led us, after all, to a much more far­ reaching mathematical understanding of the moire phenomenon, whose interest stands in its own right, independently of any particular application.

Optics. Quantum optics --- Artificial intelligence. Robotics. Simulation. Graphics --- Harmonic analysis. Fourier analysis --- Moiré method --- 535.4 --- 52 --- AA / International- internationaal --- Fringe method, Moiré --- Andere wetenschappen --- Diffraction gratings --- Materials --- Strains and stresses --- Testing --- Fourier analysis. --- Lasers. --- Photonics. --- Optical data processing. --- Applied mathematics. --- Engineering mathematics. --- Fourier Analysis. --- Optics, Lasers, Photonics, Optical Devices. --- Image Processing and Computer Vision. --- Applications of Mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- New optics --- Optics --- Light amplification by stimulated emission of radiation --- Masers, Optical --- Optical masers --- Light amplifiers --- Light sources --- Optoelectronic devices --- Nonlinear optics --- Optical parametric oscillators --- Analysis, Fourier --- Mathematics --- Optical equipment