community is multimedia devices. Multimedia devices incorporate a number of complicated functions for their operation, like motion estimation. A multitude of different implementations have been proposed to reduce motion estimation complexity, such as spiral search. We have studied the implementations of spiral search and identified areas of improvement. We propose a modified spiral search motio...

Abstract We show that in analytic sub-Riemannian manifolds of rank 2 satisfying a commutativity condition spiral-like curves are not length minimizing near the center spiral. The proof relies upon delicate construction competing curve.

We present Smoothed Particle Hydrodynamics (SPH) simulations of the response of gas discs to a spiral potential. These simulations show that the commonly observed spurs and feathering in spiral galaxies can be understood as being due to structures present in the spiral arms that are sheared by the divergent orbits in a spiral potential. Thus, dense molecular cloud-like structures generate the p...

Spiral Architecture, a hexagonal image structure is a novel and powerful approach to machine vision system. The pixels on Spiral architecture are geometrically arranged using a 1D (Spiral) addressing scheme in an ascending order along a spiral-like curve. Spiral addition and Spiral multiplication are defined based on the Spiral addresses on Spiral Architecture. These two fundamental operations ...

We report the discovery of spiral-like structure in Hubble Space Telescope images of two dwarf galaxies (GMP 3292 and GMP 3629) belonging to the Coma cluster. GMP 3629 is the faintest such galaxy detected in a cluster environment, and it is the first such galaxy observed in the dense Coma cluster. The large bulge and the faintness of the broad spiral-like pattern in GMP 3629 suggests that its d...

and Applied Analysis 3 The equation satisfied by the free boundary is 4, 6 Re [ Ḟ ζ, t ζF ′ ζ, t ] Q 2π , ζ e 1.5 for the zero tension surface model and Re [ Ḟ ζ, t ζF ′ ζ, t ] Q 2π − γH [ i ∂k ∂t ( e, t )] θ , ζ e 1.6 for the small surface tension model. 2. The Inner Problem (Bounded Domains) In this section, we obtain the invariance in time ofΦ-likeness property for the inner problem. Startin...