It is shown that the integrability conditions of the equations satisfied by the local Frenet frame associated with a holomorphic curve in a complex Grassmann manifold coincide with a special class of nonabelian Toda equations. A local moving frame of a holomorphic immersion of a Riemann surface into a complex Grassmann manifold is constructed and the corresponding connection coefficients are ca...

We use the method of field decomposition, a widely used technique in relativistic magnetohydrodynamics, to study small velocity approximation (SVA) Lorentz transformation Maxwell equations for slowly moving media. The “deformed” derived using SVA lab frame can be put into conventional form medium’s co-moving frame. Our results show that up O(v/c) (v is speed medium and c light vacuum) essential...

Most recent motion tracking systems rely on subtraction of a background model from the current frame to leave moving objects segmented. Frame-to-frame correspondence is then used to match segmented regions and track objects. A great number of difficulties are involved in building and maintaining an accurate background model in the face of unpredictable lighting and weather conditions. Further, ...

The presence of a resonant structure corresponding to the ∆ exci-tation in the longitudinal response to an e.m. probe is investigated. It is shown that many-body effects could significantly increase the relativistic contribution suggested by M.Ericson and coworkers 1 Short introduction Few years ago Chanfray et al.[1] showed that the ∆(3, 3) excitation is present also in the longitudinal respon...

The video frame mainly consists of foreground and background objects. For effective detection and tracking of moving objects background subtraction is a very important part of surveillance applications for successful segmentation of objects from video sequences. In this paper we mainly survey these methods for autonomous detection and tracking of moving objects.

In this paper, we propose a method to track multiple deformable objects in sequences (with a static camera) in and beyond the visible spectrum by combining Gabor filtering and clustering. The idea is to sample moving areas between two frames by randomly positioning samples over high magnitude area of a motion likelihood function. These points are then clustered to obtain one class for each movi...

A recursive algorithm for the equivariant method of moving frames, for both finite-dimensional Lie group actions and Lie pseudo-groups, is developed and illustrated by several examples of interest. The recursive method enables one avoid unwieldy symbolic expressions that complicate the treatment of large scale applications of the equivariant moving frame method.

An object-centric reference frame is a spatial representation in which objects or their parts are coded relative to others. The existence of object-centric representations is supported by the phenomenon of induced motion, in which the motion of an inducer frame in a particular direction induces motion in the opposite direction in a target dot. We report on an experiment made with an induced mot...