Chair: Meeta Co-Chairs: Leela Digumarti, Neelam Agarwal, Nirmala Vaze, Rashmi Shah, Sonia Malik. Advisory Board: Asha Kapadia, Atul Munshi, Duru Shah, Rama Vaidya, Saroj Srivastava, Sonia Malik, Sunila Khandelwal, Urvashi Prasad Jha. External Review Board: Anita Gadgil, Dayasagar, G R Sridhar, Hema Divakar, P K Shah, Rakesh Sahay, Sanjay Kalra. Resource Faculty: Alka Kumar, Anil Mahajan, Ani...

The Perona–Malik nonlinear parabolic problem, which is widely used in image processing, is investigated in this paper from the numerical point of view. An explicit finite volume numerical scheme for this problem is presented and consistency property is proved.

A new class of anisotropic diffusion models is proposed for image processing which can either be viewed as a novel kind of regularization of the classical Perona-Malik model or, as it is advocated by the authors, as a new independent model. The models are diffusive in nature and are characterized by the presence of both forward and backward regimes. In contrast to the Perona-Malik model, in the...

A noise removal method for band pass signals based on the anisotropic diffusion algorithm originally put forward by Perona and Malik is proposed in this paper. The anisotropic smoothing algorithm proposed here is for band pass signals modulated with a constant carrier frequency. A partial differential equation to smooth band pass noisy signals is derived. The propagator of this differential equ...

In this paper, we focus on a numerical method of a problem called the Perona-Malik inequality which we use for image denoising. This model is obtained as the limit of the Perona-Malik model and the p-Laplacian operator with p → ∞. In Atlas et al., (Nonlinear Anal. Real World Appl 18:57–68, 2014), the authors have proved the existence and uniqueness of the solution of the proposed model. However...

Review of Ahmed Malik, S. (2021). Islam and Evolution: Al-Ghazālī the Modern Evolutionary Paradigm. London: Routledge.

We discuss the Becchi-Rouet-Stora-Tyutin (BRST) cohomology in the case of twodimensional free U(1) gauge theory. In addition to the usual BRST charge, we deduce a conserved and nilpotent dual-BRST charge under which the gauge-fixing term remains invariant. This charge is the analogue of the adjoint(dual) exterior derivative of differential geometry. The BRST extended Casimir operator, correspon...

A one parameter family of equations is considered which connects the well-known Perona-Malik equation to standard diffusion. The parameter acts as a regularization parameter which gradually modifies the ill-posed Perona-Malik equation, through a strongly locally well-posed equation, to a strongly globally well-posed one which exhibits a behavior akin to that of standard diffusion, which is itse...