Perceived blur is an important measure of image quality and clinical visual function. The magnitude of image blur varies across space and time under natural viewing conditions owing to changes in pupil size and accommodation. Blur is frequently studied in the laboratory with a variety of digital filters, without comparing how the choice of filter affects blur perception. We examine the percepti...

A series of problems in different fields such as physics and chemistry are modeled by differential equations. Differential equations are divided into partial differential equations and ordinary differential equations which can be linear or nonlinear. One approach to solve those kinds of equations is using orthogonal functions into spectral methods. In this paper, we firstly describe Laguerre, H...

The current version allows for five different PSF models: The Gaussian model simulates a blurring effect by setting three different variance values. These values characterize the width of the PSF at various axial positions along the z-stack. The defocus model is simulated in the Fourier domain by a modulated Gaussian where the sinc modulation depends on the axial defocusing distance. Another de...

In this paper, we present a comparative study of Sinc-Galerkin method and differential transform method to solve Sturm-Liouville eigenvalue problem. As an application, a comparison between the two methods for various celebrated Sturm-Liouville problems are analyzed for their eigenvalues and solutions. The study outlines the significant features of the two methods. The results show that these me...

Discrete time signal is nothing but samples continuous time signal and this process is called as sampling. If inter-sampling distance is constant it is called as uniform sampling and if distance is unequal, it is non-uniform sampling. Irrespective of type of sampling, reconstruction is possible if sampling rate do not exceed Nyquist rate. Sinc interpolation is one of the methods which results i...

Background and aim There is now considerable evidence that the natural environment provides health well-being benefits in urban environments. However, little understood about role of ecological quality maximising gains. Methods We examine relationship between accessibility public spaces high two measures subjective for adults, using British Household Panel Survey (BHPS), a large, longitudinal p...

Multi-point boundary value problems have received considerable interest in the mathematical applications in different areas of science and engineering. In this work, our goal is to obtain numerically the approximate solution of these problems by using the Sinccollocation method. Some properties of the Sinc-collocation method required for our subsequent development are given and are utilized to ...

In this paper, we study the numerical approximation of the Urysohn integral equation with two methods. The methods are developed by means of the sinc approximation with the Single Exponential (SE) and Double Exponential (DE) transformations. These numerical methods combine a sinc Nyström method with the Newton iterative process that involves solving a nonlinear system of equations. We provide a...

In former articles we have given a formula for the error committed when interpolating a several times differentiable function by the sinc interpolant on a fixed finite interval. In the present workwe demonstrate the relevance of the formula through several applications: correction of the interpolant through the insertion of derivatives to increase its order of convergence, improvement of the ba...

In this paper, the numerical solution of nonlinear Fredholm integral equations of second kind is considered by Sinc method. This numerical method combines a discrete Sinc collocation method with the Newton iterative process that involves solving a nonlinear system of equations. We provide an error analysis for the method. So far approximate solutions with polynomial convergence have been report...