We consider the viscous Burgers equation with a fractional nonlinear term as a model involving non-local nonlinearities in conservation laws, which, surprisingly, has an analytical solution obtained by a fractional extension of the Hopf-Cole transformation. We use this model and its inviscid limit to develop stable spectral and discontinuous Galerkin spectral element methods by employing the co...

Abstract We give a new proof of Aubin’s improvement the Sobolev inequality on $ \mathbb{S}^{n}$ under vanishing 1st-order moments area element and generalize it to higher-order case. By careful study an extremal problem $\mathbb{S}^{n}$, we determine constant explicitly in 2nd-order

background: congenital adrenal hyperplasia (cah) and vanishing testes are uncommon diseases that can result from hormonal and mechanical factors. classic cah is determined by ambiguous genitalia and increase in amount of 17-hydroxyprogesterone. simultaneous occurrence of cah and vanishing testes is a rare condition. case: a 22-year-old boy, known case of cah who was diagnosed as female pseudohe...

We consider the problem of matching perspective views of coplanar structures composed of line segments. Both model-to-image and image-to-image correspondence matching are given a consistent treatment. These matching scenarios generally require discovery of an eight parameter projective mapping. However, when the horizon line of the object plane can be found in the image, done here using vanishi...

The florentine Tommaso Cassai (1401-c.1427) 1 better known as Masaccio, has been hailed as the first great painter of the Italian Renaissance and his fresco Trinity (c.1425, Santa Maria Novella, Florence) as the first work of Western art that used full perspective. It appears that the author was inspired and actually helped by his friend Filippo Brunelleschi (1377-1446), the celebrated architec...

The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using Gorenstein flat resolutions. In this paper, we introduce generalized local homology modules for complexes and we give several ways for computing ...

In this paper, we study generalized Douglas-Weyl Finsler metrics. We find some conditions under which the class of generalized Douglas-Weyl (&alpha, &beta)-metric with vanishing S-curvature reduce to the class of Berwald metrics.

In this paper we introduce two different representation approaches and propose two techniques to estimate the position of vanishing points in an image, one based on a probabilistic strategy and the other focused on a deterministic analysis. Unlike most of the methods so far developed, which exploit the Gaussian sphere, the new techniques operate in the (ρ, θ) polar parameter space and in the (x...

We present a novel perception-driven approach to low-cost tele-presence systems, to support immersive experience in continuity between projected video and conferencing room. We use geometry and spectral correction to impart for perceptual continuity to the whole scene. The geometric correction comes from a learning-based approach to identifying horizontal and vertical surfaces. Our method redra...

We present a method for the automatic detection of vanishing points in urban scenes based on finding point alignments in a dual space, where converging lines in the image are mapped to aligned points. To compute this mapping the recently introduced PClines transformation is used. A robust point alignment detector is run to detect clusters of aligned points in the dual space. Finally, a post-pro...