Rivero Castillo, DanielPijeira Cabrera, Héctor EstebanAssunçao, Pedro2016-07-182017-08-162015-08-15Journal of Computational and Applied Mathematics, v. 284, 2015, pp. 244-250 (OrthoQuad 2014: International Symposium on Orthogonality, Quadrature and Related Topics).0377-0427https://hdl.handle.net/10016/23357Discrete orthogonal polynomials are useful tools in digital image processing to extract visual object contours in different application contexts. This paper proposes an alternative method that extends beyond classic first-order differential operators, by using the properties of Krawtchouk orthogonal polynomials to achieve a first order differential operator. Therefore, smoothing of the image with a 2-D Gaussian filter is not necessary to regularize the ill-posed nature of differentiation. Experimentally, we provide simulation results which show that the proposed method achieves good performance in comparison with commonly used algorithms.8application/pdfeng© Elsevier 2015Atribución-NoComercial-SinDerivadas 3.0 EspañaImage processingEdge detectionKrawtchouk polynomialsDiscrete orthogonal polynomialsconference paperMatemáticasopen access244250Journal of Computational and Applied Mathematics284CC/0000024371