Zusammenfassung
In dieser Arbeit wird das optische Erscheinungsbild von Oberflächen mit fraktalen Eigenschaften in der Bildebene berechnet und visualisiert. Das Modell beruht auf einem einfachen elektromagnetischen Streumodell (Strahlenoptik), das die Berechnung der statistischen Momente und der Autokorrelationsfunktion der gestreuten Lichtintensität erlaubt. Mit diesen statistischen Parametern werden die Intensitätsfluktuationen und die Struktur von ebenen Texturen in Abhängigkeit von der fraktalen Dimension und der Beobachterentfernung simuliert und diskutiert.
Abstract
This paper discusses the optical appearance of surfaces with fractal properties and their computation as an image. The underlying model is based on electromagnetic scattering and allows the computation of the statistical moments and the autocorrelation function of the scattered light intensities. With these statistical parameters we discuss the simulation of intensity fluctuations and structure of two-dimensional texture patterns depending on fractal dimension and viewing distance.
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© 1989 Springer-Verlag Berlin Heidelberg
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Krüger, W. (1989). Bildsynthese von Objekten mit fraktalen Eigenschaften. In: Jürgens, H., Saupe, D. (eds) Visualisierung in Mathematik und Naturwissenschaften. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83809-5_6
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DOI: https://doi.org/10.1007/978-3-642-83809-5_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51224-0
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