Zusammenfassung
Bei verschiedenen Bildoperatoren besteht das Ziel weniger in einer Veränderung der Bildwerte, sondern vordergründig in einer bestimmten geometrischen Abbildung eines gegebenen Bildes oder Bildausschnittes in die Bildebene. Diese Abbildung kann z.B. eine Verkleinerung, eine Verschiebung (Translation), eine Drehung (Rotation), eine Spiegelung (Inversion), eine geometrische Anpassung zweier Bilder (etwa um die Deckungsgleichheit der dargestellten Bildstrukturen zu erreichen) oder eine Aneinanderfügung benachbarter Bildausschnitte sein. Dabei wird i.a. auch eine gewisse Korrektur oder Angleichung von Bildwerten erforderlich sein. Das Wesen dieser geometrischen Operatoren ist jedoch durch (i.a. relativ einfache) Koordinatentransformationen K ausgezeichnet. Ein Pixel (x, y, f(x, y)) wird gemäß der gewählten Koordinatentransformation auf ein Pixel (K(x, y) f(x, y)) abgebildet, d.h. der Bildpunkt K(x, y) = (r, s) ist die neue Position des (alten) Bildwertes f(x, y).
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Klette, R., Zamperoni, P. (1992). Koordinatentransformationen und geometrische Operatoren. In: Handbuch der Operatoren für die Bildbearbeitung. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-90612-0_4
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DOI: https://doi.org/10.1007/978-3-322-90612-0_4
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