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Lysaker, M., Lundervold, A. and Tai, X.-C. (2003) Noise Removal Using Fourth-Order Partial Differential Equation with Applications to Medical Magnetic Resonance Images in Space and Time. IEEE Transactions on Image Processing, 12, 1579-1590.

has been cited by the following article:

• TITLE: Sharp Operator Based Edge Detection

  AUTHORS: Mohammad Kalimuddin Ahmad, Stephan Didas, Alemdar Hasanov, Javid Iqbal

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

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.6 No.2, May 28, 2015

  ABSTRACT: 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.