We present five different eight-point phase-shifting algorithms, each with a different window function. The window function plays a crucial role in determining the phase (wavefront) because it significantly influences phase error. We begin with a simple eight-point algorithm that uses a rectangular window function. We then present alternative algorithms with triangular and bell-shaped window fu...

A general purpose, fuzzy logic-based controller is proposed. Its main features are low cost, high speed, and adaptability to different applications. The two first characteristics are obtained resorting to an active-rule driven strategy to implement simplified inference mechanism. Adaptability is insured by the capability to choose among different defuzzification methods. quent supports to give ...

Metal-organic frameworks can offer pore geometries that are not available in zeolites or other porous media, facilitating distinct types of shape-based molecular separations. Here, we report Fe2(BDP)3 (BDP(2-) = 1,4-benzenedipyrazolate), a highly stable framework with triangular channels that effect the separation of hexane isomers according to the degree of branching. Consistent with the varyi...

In this paper we study the energy spectrum of a two dimensional electron gas (2DEG) in a two dimensional periodic magnetic field. Both a square magnetic lattice and a triangular one are considered. We consider the general case where the magnetic field in a cell can be of any shape. A general feature of the band structure is bandwidth oscillation as a function of the Landau index. A triangular m...

Graphene based spintronic devices require an understanding of the growth of magnetic metals. Rare earth metals have large bulk magnetic moments so they are good candidates for such applications, and it is important to identify their growth mode. Dysprosium was deposited on epitaxial graphene, prepared by thermally annealing 6H-SiC(0001). The majority of the grown islands have triangular instead...

The isoscalar octupole response of a heavy spherical nucleus is analyzed in a semiclassical model based on the linearized Vlasov equation. The octupole strength function is evaluated with different degrees of approximation. The zero-order fixed-surface response displays a remarkable concentration of strength in the 1h̄ω and 3h̄ω regions, in excellent agreement with the quantum single-particle res...

In this paper a slicing procedure for extracting geometric informations about triangular meshes is presented. In manufacturing sculptured surfaces are often represented by triangular meshes. Errors in the mesh as gaps, holes and invalid triangles lead in planar sections to defective contour lines used as tool path in milling or rapid prototyping. The slicing procedure works on a polyhedral data...

Systematic, quantitative comparisons between scanning tunneling microscopy (STM) experiments and first principles simulations of O(2 x 2)/Ru(0001) have been performed. The shape of the atomic adsorbates in the images depends strongly on the tunneling resistance and changes reversibly from circular (high resistance) to triangular (low resistance). In addition, after adsorption of oxygen on the S...

Thinning is a well-known technique for producing skeleton-like shape features from digital binary objects in a topology preserving way. Most of the existing thinning algorithms presuppose that the input images are sampled on orthogonal grids. This paper presents new sufficient conditions for topology preserving reductions working on hexagonal grids (or triangular lattices) and eight new 2D hexa...

We consider a generic Iwahori–Hecke algebra H associated with a finite Weyl group. Any specialization of H gives rise to a corresponding decomposition matrix, and we show that the problem of computing that matrix can be interpreted in terms of Lusztig’s map from H to the asymptotic algebra J . This interpretation allows us to prove that the decomposition matrices always have a lower uni-triangu...