The famous Perona-Malik (P-M) equation which was at first introduced for image restoration has been solved via various numerical methods. In this paper we will solve it for the first time via applying a new numerical method called Homotopy Perturbation Method (HMP) and the correspondent approximated solutions will be obtained for the P-M equation with regard to relevant error analysis. Through ...

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 [2]. In their formulation, they repla...

Preview: Coma is the most severe form of unresponsiveness, in which a patient is totally unaware of self and surroundings. With the patient so disengaged during examination, management can be particularly challenging. What steps should the primary care physician take to ensure the most appropriate care for a comatose patient? In this article, Drs Malik and Hess describe an evaluation plan, labo...

A modification of the Perona-Malik equation is proposed for which the local nonlinear diffusion term is replaced by a nonlocal term of slightly reduced “strength”. The new equation is globally well-posed (in spaces of classical regularity) and possesses desirable properties from the perspective of image processing. It admits characteristic functions as (formally linearly “stable”) stationary so...

A novel nonlocal nonlinear diffusion is analyzed which has proven useful as a denoising tool in image processing. The equation can be viewed as a new paradigm for the regularization of the well-known Perona-Malik equation. The regularization is implemented via nonlinearity intensity reduction through fractional derivatives. Well-posedness in the weak setting is established. Global existence and...

ENWEndNote BIBJabRef, Mendeley RISPapers, Reference Manager, RefWorks, Zotero AMA Jain D, Kumar J, Katyal V, P, Malik D. Evaluation of depression, anxiety and insomnia in people living with HIV/AIDS India. HIV & AIDS Review. International Journal HIV-Related Problems. 2023. doi:10.5114/hivar.2023.126586. APA Jain, D., Kumar, J., Katyal, V., P., Malik, (2023). https://doi.org/10.5114/hivar.2023....

the present article deals with the position and features of imam ali´s instructions to malik al- ashtar in islamic sources. it studies the sources of imam ali´s instructions to malik including sunni and shiite ones, their position in jurisprudential and exegetical sources, and their popularity in different parts of the muslim world. furthermore, taking the chain of transmission of these instruc...

The famous Perona-Malik (P-M) equation which was at first introduced for image restoration has been solved via various numerical methods. In this paper we will solve it for the first time via applying a new numerical method called the Variational Iteration Method (VIM) and the correspondent approximated solutions will be obtained for the P-M equation with regards to relevant error analysis. Thr...

The Perona–Malik (PM) model, or the anisotropic diffusion, shows good performance for image restoration. However, it suffers from the so-called staircasing effect if the contrast parameter is small and otherwise cannot preserve edges. This paper proposes a modified Perona–Malik (MPM) model based on directional Laplacian, which diffuses image along the edge direction of the original image. A sli...