Edge detection based on Krawtchouk polynomials

Daniel Rivero-Castillo ^[1] ; Héctor Pijeira ^[2] ; Pedro Assunçao ^[3]
1. [1] Universidad Politécnica de Madrid
  
  Universidad Politécnica de Madrid
  
  Madrid, España
2. [2] Universidad Carlos III de Madrid
  
  Universidad Carlos III de Madrid
  
  Madrid, España
3. [3] Instituto de Telecomunicações and Polytechnic Institute of Leiria-ESTG, Portugal
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Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 284, Nº 1 (15 August 2015), 2015, págs. 244-250
Idioma: inglés
DOI: 10.1016/j.cam.2014.11.017
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Resumen
- Discrete 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.