Nonlinear diffusions have successfully been employed to perform a variety of tasks in image processing. In the context of denoising, the Perona-Malik equation is a particularly successful example. In spite of its cherished qualities, it is mathematically ill-posed and has some practical short-comings. In this short paper a new nonlocal nonlinear diffusion is reported upon, which is locally well...

A novel nonlinear PDE based image denoising and restoration approach is provided in this article. The proposed anisotropic diffusion based technique is derived from the influential Perona-Malik nonlinear diffusion scheme, representing an enhanced version of that scheme. Our model is based on new versions of the edge-stopping function and the conductance parameter. The proposed PDE-based filteri...

The main theory behind nonlinear diffusion models is to use nonlinear PDEs to create a scale space representation that consists of gradually simplified images where some image features such as edges are maintained or even enhanced. The earliest nonlinear diffusion model proposed in image processing is the so-called anisotropic diffusion1 by Perona and Malik [4]. In their formulation, they repla...

The Perona-Malik equation is an ill-posed forward-backward parabolic equation with some application in image processing. In this paper, we study the Perona-Malik type equation on a ball in an arbitrary dimension n and show that there exist infinitely many radial weak solutions to the homogeneous Neumann boundary problem for smooth nonconstant radially symmetric initial data. Our approach is to ...

ENWEndNote BIBJabRef, Mendeley RISPapers, Reference Manager, RefWorks, Zotero AMA Malik A, Amjad W, Farooq U, Saleem SS, Imran M. Evaluation of the effect probiotics on septic complications in patients with severe acute pancreatitis. A systematic review and meta-analysis. Gastroenterology Review/Przegląd Gastroenterologiczny. 2022. doi:10.5114/pg.2022.118164. APA Malik, A., Amjad, W., Farooq, U...

if we take ibn malik as the connecting chain of the interconnected history of syntax, we will find him among the last analytic scholars and theorist grammarians, since in his era, the principles of syntax has been established and grammarians didn’t provide new ideas. but discussion of ibn malik’s innovative syntactic approaches is important because of two reasons. due to his authoritative posit...

Abstracts of reference papers in the field of edge detection are proposed: (Marr and Hildreth, 1980) and (Perona and Malik, 1990), as well as surveys on edge detection (Ziou and Tabbone, 1998; Basu, 2002) and old forgotten papers (Fram and Deutsch, 1975). Personal remarks are sometimes included.s of reference papers in the field of edge detection are proposed: (Marr and Hildreth, 1980) and (Per...

Recently, Fu and Malik described an unweighted Partial MaxSAT solver based on successive calls to a SAT solver. At the kth iteration the SAT solver tries to certify that there exist an assignment that satisfies all but k clauses. Later Marques-Silva and Planes implemented and extended these ideas. In this paper we present and implement two Partial MaxSAT solvers and the weighted variant of one ...