The polynomial Discrete Radon Transform

I. Elouedi R. Fournier 1 A. Nait-Ali 1 A. Hamouda 2
1 SYNAPSE
LISSI - Laboratoire Images, Signaux et Systèmes Intelligents
Abstract : This paper presents a new approach called polynomial discrete Radon transform (PDRT), regarded as a generalization of the classical finite discrete Radon transform. Specifically, the PDRT transforms an image into Radon space by summing the pixels according to polynomial curves. The PDRT can be applied on square p×p images where p is assumed to be a prime number. It is based on a simple arithmetic operations and requires no data interpolation. An interesting property of the PDRT is its exact inversion. This means that an image can be transformed and then perfectly reconstructed. Through this study, we show that the new approach can be applied for some pattern recognition applications.
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Soumis le : jeudi 27 juillet 2017 - 11:55:02
Dernière modification le : jeudi 28 février 2019 - 10:54:28

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  • HAL Id : hal-01569670, version 1

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I. Elouedi, R. Fournier, A. Nait-Ali, A. Hamouda. The polynomial Discrete Radon Transform. Signal, Image and Video Processing, Springer, 2015, 9 (1), pp.145-154. 〈hal-01569670〉

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