We are concerned with a wavelet–based treatment of nonlinear diffusion equations in the context of image processing. In particular, we focus on the Perona– Malik model as a suitable instrument for smoothing images while preserving edges. We are not exploring a complete new method of solving the Perona– Malik equation but, inspired by Weickert et.al., we develop a new variant, based on wavelet t...

A new synergetic model based on a pulse neural network and the Perona-Malik anisotropic diffusion algorithm is introduced. The proposed model was developed because of the failure of conventional edge detectors to perform the extraction of geometric structures from low contrast edges and noisy assumed uniform regions. The synergetic model is a variation of the Perona-Malik algorithm that incorpo...

Kessell, A., McNair, D., Munday, J., Savory, R., Halliday, C., Malik, R. (2017). Successful treatment of multifocal pedal Prototheca wickerhamii infection in a feline immunodeficiency viruspositive cat with multiple Bowenoid in situ carcinomas containing papillomaviral DNA sequences. Journal of Feline Medicine and Surgery Open Reports. [More ...

This work concerns the Perona-Malik equation, which plays essential role in image processing. The first part gives a survey of results on existance, uniqueness and stability of solutions, the second part introduces discretisations of equation and deals with an analysis of discrete problem. In the last part I present some numerical results, in particular with algorithms applied to real images.

We propose time regularizations for ill posed evolution equations of the type of the Perona-Malik equation of image processing, prove that they are well posed, and give numerical evidence for their superiority to the widely used space regularizations.

ENWEndNote BIBJabRef, Mendeley RISPapers, Reference Manager, RefWorks, Zotero AMA Gera C, Malik M. Effect of spinal manipulation on cardiopulmonary parameters in patients with functional scoliosis: A randomised controlled pilot trial. Advances Rehabilitation. 2022;36(1):11-17. doi:10.5114/areh.2022.114226. APA Gera, C., & Malik, (2022). Rehabilitation, 36(1), 11-17. https://doi.org/10.5114/areh...