In this paper, we derive a simplified formula of electric dipole moments (EDMs) fermion. the Standard Model, it is well-known that non-trivial cancellations between some rainbow-type diagrams induced by $W$ boson exchanges occur in calculation neutron EDM at two-loop level due to gauge symmetry. The fermion self-energy and vertex correction are related through Ward-Takahashi identity, relation ...

The effect of V-notches or reentrant corners on fracture propagation has been analyzed for brittle materials, but not for quasibrittle materials such as concrete, marked by a large material characteristic length producing a strong size effect transitional between plasticity and linear elastic fracture mechanics. A simple size effect law for the nominal strength of quasibrittle structures with s...

Using a reformulation of the Eichler-Selberg trace formula, due to Frechette, Ono and Papanikolas, we consider the problem of the vanishing (resp. non-vanishing) of traces of Hecke operators on spaces of even weight cusp forms with trivial Nebentypus character. For example, we show that for a fixed operator and weight, the set of levels for which the trace vanishes is effectively computable. Al...

We wish to determine whether design engineers commonly use central projections (convergence of parallel lines to a vanishing point) when sketching new shapes, rather than draw physically parallel lines as parallel. This paper describes a pilot experiment carried out to determine the presence and importance of central projections. Results suggest that designers rarely use vanishing points when s...

This work was partially funded by the French Space Agency (CNES) and Cognitech Inc. We would like to specially thank JeanMichel Morel for his encouragement, support, ideas, and for introducing us to Gestalt-based image analysis. A. Almansa would also like to thank Lenny Rudin and Pascal Monasse for useful discussions, references, and motivation to address this problem, as well as for adapting a...

This paper presents a novel technique for the estimation of the height of an object using a single camera view. In the proposed method, the only information required is the knowledge about the pose of the camera with respect to the world (i.e., height and pitch angle of the camera with respect to the ground) and a vanishing point. In the developed theory, the focal length may also be known, but...

The perspective projection models the way a 3D scene is transformed into a 2D image, usually through a camera or an eye. In a projective transformation, parallel lines intersect in a point called vanishing point. This paper presents in detail two calibration methods that exploit the properties of vanishing points. The aim of the paper is to offer a practical tool for the choice of the appropria...

This paper proposes a method for buildings change detection. Vertical edges of buildings are extracted in pairs of aerial images respectively, taking advantage of the character that vertical edges intersect at their vanishing point without fail. The ground coordinates of the vertices on each vertical edge are calculated according to projection difference and the principle of frontage intersecti...