A thresholding method based on two-dimensional fractional differentiation

Authors:
A. Nakib;H. Oulhadj;P. Siarry
Affiliations:
Université de Paris 12, Laboratoire Images, Signaux et Systèmes Intelligents (LISSI, E. A. 3956), 61 avenue du Général De Gaulle, 94010 Créteil, France;Université de Paris 12, Laboratoire Images, Signaux et Systèmes Intelligents (LISSI, E. A. 3956), 61 avenue du Général De Gaulle, 94010 Créteil, France;Université de Paris 12, Laboratoire Images, Signaux et Systèmes Intelligents (LISSI, E. A. 3956), 61 avenue du Général De Gaulle, 94010 Créteil, France
Venue:
Image and Vision Computing
Year:
2009

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Abstract

In this paper, we present a new thresholding technique based on two-dimensional fractional differentiation, that was obtained through the extension of the one-dimensional fractional differentiation. A new geometric interpretation of the two-dimensional fractional differentiation is also presented in the paper. The proposed method exploits the properties and the interpretations of the two-dimensional fractional differentiation. It is based on the assumption that there is a dependency between the pixels' gray-levels, that is translated into a correlation between pixels describing the same object. The effectiveness of the proposed method is demonstrated by using examples from real-world and synthetic images.