Image super-resolution is a process to enhance image resolution. It is widely used in medical imaging, satellite imaging, target recognition, etc. In this paper, we conduct continuous modeling and assume that the unknown image intensity function is defined on a continuous domain and belongs to a space with a redundant basis. We propose a new iterative model for single image super-resolution bas...

We present a mathemathical formalism to analyze saturated edge imaging using various modified Heaviside functions. Introduction. For the past few decades an enormous amount of work has been done in the field of the theory of edge detection. This area of optical, hybrid and digital image processing interrelates different aspects of image formation, visual optics and robotic vision. It is well es...

The Meshless Local Petrov-Galerkin (MLPG) method is one of the recently developed element-free methods. The method is convenient and can produce accurate results with continuous secondary variables, but is more computationally expensive than the finite element method. To overcome this disadvantage, a simple Heaviside test function is chosen. The computational effort is significantly reduced by ...

Topology optimization (TO) is a computational method of determining material distribution in given design area to create the optimal shape part under boundary conditions. The increased interest development effective methods designing parts topology testifies relevance these theoretical studies and important applied value obtained results. In classic formulation maintenance, minimization flexibi...

We present a general theory of series-parallel mental architectures with selectively influenced stochastically nonindependent components. A mental architecture is a hypothetical network of processes aimed at performing a task, of which we only observe the overall time it takes under variable parameters of the task. It is usually assumed that the network contains several processes selectively in...

Diagnostic technologies using X-rays and/or acoustic emissions for concrete infrastructures containing internal pores, defects, and cracks have attracted considerable interest. However, computerized tomography (CT) is challenging due to its radiation shielding characteristics. Electrical impedance (EIT), initially developed medical use, has recently shown a potential developing macro-CT techniq...

In this paper, one of the simplest and most regular members of the family of the Meshless Local Petrov-Galerkin (MLPG) methods; namely MLPG5, is applied to analyze the thick-walled isotropic laminated cylinders under elasto-static pressure. A novel simple technique is proposed to eliminate a very important difficulty of the meshless methods to deal with material discontinuities regarding to the...

The contribution is focused on change point detection in a one-dimensional stochastic process by sparse parameter estimation from an overparametrized model. A stochastic process with change in the mean is estimated using dictionary consisting of Heaviside functions. The basis pursuit algorithm is used to get sparse parameter estimates. The mentioned method of change point detection in a stochas...