5 papers
Improved PDE Models for Image Restoration through Backpropagation
Sílvia Barbeiro, Diogo Lobo
In this paper we focus on learning optimized partial differential equation (PDE) models for image filtering. In this approach, the grey-scaled images are represented by a vector fi…
Convergence of an Explicit Iterative Leap-frog Discontinuous Galerkin Method for Time-domain Maxwell's Equations in Anisotropic Materials
Adérito Araújo, Sílvia Barbeiro, Maryam Khaksar Ghalati
We propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell's equations in anisotropic materials and derive its convergence properties. The a p…
Stability of a leap-frog discontinuous Galerkin method for time-domain Maxwell's equations in anisotropic materials
Adérito Araújo, Sílvia Barbeiro, Maryam Khaksar Ghalati
In this work we discuss the numerical discretization of the time-dependent Maxwell's equations using a fully explicit leap-frog type discontinuous Galerkin method. We present a suf…
Cross-diffusion systems for image processing: II. The nonlinear case
A. Araújo, S. Barbeiro, E. Cuesta +1
In this paper the use of nonlinear cross-diffu\-sion systems to model image restoration is investigated, theoretically and numerically. In the first case, well-posedness, scale-spa…
Cross-diffusion systems for image processing: I. The linear case
A. Araujo, S. Barbeiro, E. Cuesta +1
The use of cross-diffusion systems as mathematical models of different image processes is investigated. The present paper is concerned with linear filtering. First, those systems s…