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C-orbit Function and Image Filtering

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Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

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Abstract

We present the first attempt to use the C-orbit functions in image processing. For the image processing we perform a Fourier-like transform of the image. Then we define a convolution on C-orbit functions and we apply the simplest spatial linear filters on several examples. Finally we compare the results with filtering via an ordinary Fourier transformation.

Mathematics Subject Classification (2010). 42B10; 43A75.

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Correspondence to Ondřej Kajínek .

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© 2014 Springer International Publishing Switzerland

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Kajínek, O., Chadzitaskos, G., Háková, L. (2014). C-orbit Function and Image Filtering. In: Kielanowski, P., Bieliavsky, P., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06248-8_19

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