In the intersecting brane configurations with any number n of extra dimensions, we obtain a localized gravity on the n orthogonal non-solitonic or solitonic (n+2)-branes in the presence of higher curvature terms. In the presence of such terms there would exist a non vanishing brane tension at the four-dimensional brane intersection of the (2 + n)-branes. The effective 4d Planck scale MP l is de...

‎The object of the present paper is to study spacetimes admitting‎ ‎quasi-conformal curvature tensor‎. ‎At first we prove that a quasi-conformally flat spacetime is Einstein‎ ‎and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying‎ ‎Einstein's field equation with cosmological constant is covariant constant‎. ‎Next‎, ‎we prove that if the perfect flui...

Suppose that a compact and connected Lie group G acts on complex Hodge manifold M in holomorphic Hamiltonian manner, the action linearizes to positive line bundle A M. Then there is an induced unitary representation associated Hardy space and, if moment map of nowhere vanishing, corresponding isotypical components are all finite dimensional. We study asymptotic concentration behavior equivarian...

A new approach for estimating 3D head pose form a monocular image is proposed. Our approach employs general prior knowledge of face structure and the corresponding geometrical constraints provided by the location of vanishing point to determine pose of human faces. Eye-lines and mouth-line are assumed parallel in 3D space, and the vanishing point formed by the intersection of the eyeline and mo...

We build on our earlier results (DE-FC52-06NA27324, Dreger et al., 2008; Ford et al., 2010; Ford et al., 2009a, b; Ford et al., 2008) in which it has been demonstrated that regional distance moment tensor analysis can discriminate explosions from naturally occurring earthquakes and mine collapses. In this project, as an effort to refine procedures for implementation we develop a more complete u...

We study the vanishing viscosity limit of one-dimensional Burgers equation near nondegenerate shock formation. develop a matched asymptotic expansion that describes small-viscosity solutions to arbitrary order up moment first forms. The inner part this has novel structure based on fractional spacetime Taylor series for inviscid solution. obtain sharp rates in variety norms, including $$L^\infty...

A man-made environment is characterized by many parallel lines and orthogonal edges. In this article, a new method for detecting the three mutually orthogonal directions of such an environment is presented. Since real-time performance is not necessary for architectural applications, such as building reconstruction, a computationally intensive approach was chosen. However, this enables us to avo...

This paper deals with road detection in an outdoor environment. By comparison with preceding approaches, which use various sensors, our system uses only a monocular camera. In this paper, we propose a novel approach a fusion of frequency based vanishing point estimation and probabilistically based color segmentation.

A method for the fronto-parallel recovery of paragraphs of text under full perspective transformation is presented. The horizontal vanishing point of the text plane is found using an extension of 2D projection profiles. This allows the accurate segmentation of the lines of text. Analysis of the lines will then reveal the style of justification of the paragraph, and provide an estimate of the ve...