Edge detection plays an important role in identifying regions of interest in an underlying signal or image. In some applications, such as magnetic resonance imaging (MRI) or synthetic aperture radar (SAR), data are sampled in the Fourier domain. Many algorithms have been developed to efficiently extract edges of images when uniform Fourier data are acquired. However, in cases where the data are...

Direct-phi perception elicited by a reverse-phi (i.e. reversed-polarity) stimulus may well be accounted for, if the front-end filters of a classical Reichardt unit are full-wave rectifiers. It is shown that reverse-phi perception is progressively replaced by direct-phi perception when either the spatial or the temporal modulation of the reversed-polarity stimuli are decreased. Reverse-phi perce...

In this article, the local fractional Homotopy perturbation method is utilized to solve the non-homogeneous heat conduction equations. The operator is considered in the sense of the local fractional differential operator. Comparative results between non-homogeneous and homogeneous heat conduction equations are presented. The obtained result shows the non-differentiable behavior of heat conducti...

In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case.

The principles of superposition and separation variables are used here in order to investigate the analytical solutions a certain transient heat conduction equation. structure temperature appropriations heat-transfer distributions summed up for straight mix results by means Fourier-Bessel arrangement exponential type investigated partial differential

In this work, the usual Euler–Bernoulli nanobeam has been modeled in context of Lord-Shulman thermoelastic theorem which contains non-Fourier heat conduction law. The subjected to a constant magnetic field and ramp-type thermal loading. Laplace transform definition applied governing equations solutions have obtained by using direct approach. inversions calculated numerically Tzou approximation ...

The law of Heat Conduction, also known as Fourier's law, states that the time rate of heat transfer through a material is proportional to the negative gradient in the temperature and to the area at right angles. However, not all systems follow Fourier law. It could be interesting to check whether a given system obey Fourier law, and explore under what condition will the heat conduction obey thi...