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24 October 1997 Properties of in-order self-similarity function in the Frensel region for the Sierpinski carpet grating
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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.
© (1997) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Mario Marcelo Lehman, D. Patrignani, L. De Pasquale, and J. L. Pombo "Properties of in-order self-similarity function in the Frensel region for the Sierpinski carpet grating", Proc. SPIE 3159, Algorithms, Devices, and Systems for Optical Information Processing, (24 October 1997); https://doi.org/10.1117/12.284206
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