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Proceedings Paper

Properties of in-order self-similarity function in the Frensel region for the Sierpinski carpet grating
Author(s): Mario Marcelo Lehman; D. Patrignani; L. De Pasquale; J. L. Pombo
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Paper Abstract

Some regular fractals, as Cantor bars and Sierpinski carpet, can be obtained as multiplicative superposition of periodical functions. Adding an exponent to each of this functions we can obtain a system to apply in optics for image processing, because different combinations can be achieved. A parameter to characterize the fractal structures in the Fresnel and Fraunhofer regions is introduced. It is called the in-order self-similarity function, which permit us to determine the periodical components filtered from the initial structure. The application is developed mainly for 2D fractals as the Sierpinski carpet.

Paper Details

Date Published: 24 October 1997
PDF: 8 pages
Proc. SPIE 3159, Algorithms, Devices, and Systems for Optical Information Processing, (24 October 1997); doi: 10.1117/12.284206
Show Author Affiliations
Mario Marcelo Lehman, Univ. Nacional del Sur (Argentina)
D. Patrignani, Univ. Nacional del Sur (Argentina)
L. De Pasquale, Univ. Nacional del Sur (Argentina)
J. L. Pombo, Univ. Nacional del Sur (Argentina)


Published in SPIE Proceedings Vol. 3159:
Algorithms, Devices, and Systems for Optical Information Processing
Bahram Javidi; Demetri Psaltis, Editor(s)

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