Edge detection based on Krawtchouk polynomials Articles uri icon

publication date

  • March 2015

start page

  • 244

end page

  • 250

volume

  • 284

International Standard Serial Number (ISSN)

  • 0377-0427

Electronic International Standard Serial Number (EISSN)

  • 1879-1778

abstract

  • 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.

keywords

  • image processing; edge detection; krawtchouk polynomials; discrete orthogonal polynomials