Abstract
Discrete orthogonal moments such as Tchebichef, Krawtchouk, Hahn, Meixner and Charlier are powerful tools for signal and image reconstruction. The analysis of large size signals by discrete orthogonal moments is limited by the very high computation time and by the numerical instability of these values especially for high orders. In order to accelerate time and guarantee the numerical stability of Krawtchouk moments, we propose in this article a fast and stable method based on the symmetry properties of Krawtchouk polynomials. This method has enabled us to considerably reduce the calculation time and maintain the stability of Krawtchouk moment. The results of the simulations carried out clearly show the effectiveness of the proposed method compared to conventional methods and compared to other types of moments.
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