We present a mathematical model to decompose longitudinal deformation into normal and abnormal components. The goal is detect extract subtle from periodic motions in video sequence. It has important applications medical image analysis. To achieve this goal, we consider representation of the deformation, called Beltrami descriptor, based on quasiconformal theories. descriptor complex-valued matr...

The paper is devoted to the study of mappings satisfying inverse Poletsky inequality. We local behavior these mappings. are most interested in case when corresponding majorant integrable on some set spheres positive linear measure. Our main result a logarithmic Hölder continuity such at inner points. As corollary, we have established existence continuous ACL-solution Beltrami equation, which co...

Recently, certain higher dimensional complex manifolds were obtained in [1] by associating a higher dimensional uniformisation to the generalised Teichmüller spaces of Hitchin. The extra dimensions are provided by the “times” of the generalised KdV hierarchy. In this paper, we complete the proof that these manifolds provide the analog of superspace for W-gravity and that Wsymmetry linearises on...

The Beltrami flow is an efficient non-linear filter, that was shown to be effective for color image processing. The corresponding anisotropic diffusion operator strongly couples the spectral components. Usually, this flow is implemented by explicit schemes, that are stable only for small time steps and therefore require many iterations. In this paper we introduce a semi-implicit scheme based on...

The physical situation which has initiated this research is that of a dielectric particle with electric charges on its surface, placed in electric field. Here, the diffusion equation of the charges is coupled with the Maxwell equations. There is an analytical solution of this system of equation [1] which involves some functional calculus with operators, in particular with Laplace-Beltrami opera...