The fundamental concern of this article has been to apply the residual power series method (RPSM) effectively to determine of the unknown spacewise dependent coefficient in the time fractional heat equation in the Caputo sense with over measured data. First, the fractional power series solution of inverse problem of unknown spacewise dependent coefficient is obtained by residual power series me...

Since the Lucas-Kanade algorithm was proposed in 1981 image alignment has become one of the most widely used techniques in computer vision. Applications range from optical flow and tracking to layered motion, mosaic-ing, and face coding. Numerous algorithms have been proposed and a wide variety of extensions have been made to the original formulation. We present an overview of image alignment, ...

In this paper, the skew-elliptical sinh-alpha-power distribution is developed as a natural follow-up to log-linear Birnbaum–Saunders alpha-power distribution, previously studied in literature. Special cases include ordinary and skewed distributions. As shown, it able surpass sinh-normal models when fitting data sets with high (above expected sinh-normal) degrees of asymmetry. Maximum likelihood...

Functions that are smooth but non-periodic on a certain interval have only slowly converging Fourier series, due to the Gibbs phenomenon. However, they can be represented accurately by a Fourier series that is periodic on a larger interval. This is commonly called a Fourier extension. Fourier extensions have been mostly used to solve PDE’s on complicated domains, by embedding the domain into a ...

Since the Lucas-Kanade algorithm was proposed in 1981 image alignment has become one of the most widely used techniques in computer vision. Applications range from optical flow and tracking to layered motion, mosaic-ing, and face coding. Numerous algorithms have been proposed and a wide variety of extensions have been made to the original formulation. We present an overview of image alignment, ...