despite recent advances in video inpainting techniques, reconstructing large missing regions of a moving subject while its scale changes remains an elusive goal. in this paper, we have introduced a scale-change invariant method for large missing regions to tackle this problem. using this framework, first the moving foreground is separated from the background and its scale is equalized. then, a ...

We set up a general framework to study the bifurcations of nearly degenerate modes of a Maxwell-Bloch laser model, and we apply it specifically to the study of interactions of two modes of a laser with broken circular symmetry. We use an explicit centre manifold reduction to analyse the behaviour of this laser. Complex bifur-cation sequences involving single mode solutions, mode locking and mod...

We introduce a framework to systematically investigate the resonant double Hopf bifurcation. use basic invariants of ensuing T 1 -action analyse approximating normal form truncations in unified manner. In this way we obtain global description parameter space and thus find organising resonance droplet, which is present analogue gap. The dynamics yields skeleton for original system. perturbation ...

We consider equilibrium configurations of inextensible, unshearable, isotropic, uniform and naturally straight and prismatic rods when subject to end loads and clamped boundary conditions. In a first paper [NH03], we discussed symmetry properties of the equilibrium configurations of the centre line of the rod. Here we are interested in the set of all parameter values that yield equilibrium conf...

commutative properties of four-dimensional generalized symmetric pseudo-riemannian manifolds were considered. specially, in this paper, we studied skew-tsankov and jacobi-tsankov conditions in 4-dimensional pseudo-riemannian generalized symmetric manifolds.