Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=51045#.VFL8r2fHRK0 Author(s) Tohru Morita 1 , Ken-Ichi Sato 2 Affiliation(s) 1 Tohoku University, Sendai, Japan . 2 College of Engineering, Nihon University, Koriyama, Japan . ABSTRACT In preceding papers, the present authors proposed the application of the mollification based on wavelets to the calculation of the fractional derivative (fD) or the derivative of a function involving noise. We study here the application of that method to the detection of edge of a function. Mathieu et al. proposed the CRONE detector for a detection of an edge of an image. For a function without noise, we note that the CRONE detector is expressed a...
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