Author(s)

Mohammad Kalimuddin Ahmad¹, Stephan Didas², Alemdar Hasanov³, Javid Iqbal⁴

¹Department of Mathematics, Aligarh Muslim University, Aligarh, India.
²Hochschule Trier, Umwelt-Campus Birkenfeld, Fachbereich Umweltplanung/Umwelttechnik, Postfach 1380, Birkenfeld, Germany.
³Department of Mathematics and Computer Science, Izmir University, Izmir, Turkey.
⁴Department of Mathematics, Baba Ghulam Shah Badshah University, Rajouri, India.

Ahmad et al. in their paper [1] for the first time proposed to apply sharp function for classification of images. In continuation of their work, in this paper we investigate the use of sharp function as an edge detector through well known diffusion models. Further, we discuss the formulation of weak solution of nonlinear diffusion equation and prove uniqueness of weak solution of nonlinear problem. The anisotropic generalization of sharp operator based diffusion has also been implemented and tested on various types of images.

Maximal Function, Sharp Function, Image Processing, Edge Detection, Nonlinear Diffusion

Ahmad, M. , Didas, S. , Hasanov, A. and Iqbal, J. (2015) Sharp Operator Based Edge Detection. Journal of Signal and Information Processing, 6, 180-189. doi: 10.4236/jsip.2015.62017.