We propose the use of large dictionaries of tilings for video compression and develop fast algorithms to select the optimal tiling for both the motion compensation and transform stages of a video coder. We illustrate the effectiveness of this approach by showing that our tiling selection method results in up to 23% savings in bit rate as compared to the H.264/AVC tiling selection, for several s...

Two papers in the current issues of Neuron (Gallegos and Bargmann) and Cell (Emoto et al.) identify a conserved kinase, SAX-1/Trc, and a large protein required for Trc activity, SAX-2/Fry, as essential elements in the control of dendritic branching and tiling in Drosophila and C. elegans. The tiling and ectopic branching phenotypes of trc mutants appear to be independently generated. Thus, this...

A random tiling of rectangles and triangles displaying a decagonal phase is solved by Bethe Ansatz. Analogously to the solutions of the dodecagonal square triangle and the octagonal rectangle triangle tiling an exact expression for the maximum of the entropy is found. PACS numbers: 05.20.-y, 05.50.+q, 04.20.Jb, 61.44.Br Short title: Solution of a decagonal random tiling February 1, 2008 † Elect...

We discuss a new general phenomenon pertaining to tiling models of quasicrystal growth. It is known that with Penrose tiles no (de-terministic) local matching rules exist which guarantee defect-free tiling for regions of arbitrary large size. We prove that this property holds quite generally: namely, that the emergence of defects in quasicrystal growth is unavoidable for all aperiodic tiling mo...

In his last two papers Georges Voronoi introduced two tilings for the cone of metrical forms for lattices, the tiling by perfect domains and the tiling by lattice type domains. Both are facet-to-facet tilings by polyhedral subcones, and invariant with respect to the natural action of GL(n, Z) on Sym(n, R). In working out the details of his theory of lattice types, his most important legacy for ...

This paper proposes tiling techniques based on data dependencies and not in code structure. The work presented here leverages and expands previous work by the authors in the domain of non traditional tiling for parallel applications. The main contributions of this paper are: (1) A formal description of tiling from the point of view of the data produced and not from the source code. (2) A mathem...

An n-dimensional cross comprises 2n + 1 unit cubes: the center cube and reflections in all its faces. It is well known that there is a tiling of R n by crosses for all n. AlBdaiwi and the first author proved that if 2n + 1 is not a prime then there are 2 ℵ 0 non-congruent regular (= face-to-face) tilings of R n by crosses, while there is a unique tiling of R n by crosses for n = 2, 3. They conj...

The first purpose of this paper is to propose a formulation of general area-preserving motion of polygonal curves by using a system of ODEs. Solution polygonal curves belong to a prescribed polygonal class, which is similar to admissible class used in the so-called crystalline curvature flow. Actually, if the initial curve is a convex polygon, then our polygonal flow is nothing but the crystall...

in this paper, an ultra low carbon high strength low alloy grade steel was subjected to a two-step forging processand this was followed by different post cooling methods. the highest strength was obtained at a faster coolingrate due to the highly dislocated acicular ferrite structure with the fine precipitation of microalloying carbides andcarbonitrides. at a slow cooling rate, the strength fel...