The inversion of the one–dimensional Radon transform on the rotation group SO(3) is an ill posed inverse problem which applies to X–ray tomography with polycrystalline materials. This communication presents a novel approach to the numerical inversion of the one–dimensional Radon transform on SO(3). Based on a Fourier slice theorem the discrete inverse Radon transform of a function sampled on th...

We present two new techniques for the inversion of first-arrival times to estimate velocity structure. These travel-time inversion techniques are unique in that they do not require the calculation of ray paths. First-arrival times are calculated using a finite-difference scheme that iteratively solves the eikonal equations for the position of the wavefront. The first inversion technique is a di...

In the title coordination polymer, [CdCl(2)(C(12)H(12)N(2)O(2))](n), the Cd(II) ion, situated on an inversion center, is coordinated by four bridging Cl atoms and two N atoms from two 1,4-bis-(4,5-dihydro-1,3--oxazol-2-yl)benzene (L) ligands in a distorted octa-hedral geometry. Each L ligand also lies across an inversion center and bridges two Cd(II) ions, forming infinite two-dimensional recta...

The title compound, [PdBr(2)(C(24)H(31)P)(2)], has a distorted trans square-planar coordination of the Pd atom, which occupies an inversion centre. The most important bond distances include Pd-P of 2.380 (2) Å and Pd-Br of 2.515 (2) Å. Weak inter-molecular π-π inter-actions between the benzene rings of adjacent mol-ecules [centroid-centroid distance = 3.949 (6) Å] are present via crystallograph...

Humans perceive shape in two-dimensional shaded images, and turning such an image upside down can result in inversion of the relief of this image. Previous research indicates that this inversion is caused by assumptions related to overhead illumination, global convexity and viewpoint above the surface. In our article, we describe the inverted waves effect, in which turning an image of waves ups...

An experimental study of the phase inversion behavior of liquid-liquid dispersion has been conducted in a spray extraction column for systems of toluene / water, n-hexane/water, CCl4/water, toluene /water + glycerol (25 % wt), toluene + CCl4 (25 % wt) / water and toluene / acetic acid (5 % wt)/water. The effects of physical properties, mass transfer and column geometry...

Abstract In this work, the Mellin transform method was used to obtain solutions for the stress field components in two dimensional (2D) elasticity problems in terms of plane polar coordinates. the Mellin transformation was applied to the biharmonic stress compatibility equation expressed in terms of the Airy stress potential function, and the boundary value problem transformed to an algebraic  ...

Gaussian measure is constructed for any given hyperplane in an infinite dimensional Hilbert space, and this is used to define a generalization of the Radon transform to the infinite dimensional setting, using Gauss measure instead of Lebesgue measure. An inversion formula is obtained and a support theorem proved.

A computationally efficient technique for the numerical solution of constrained optimal control problems governed by one-dimensional partial differential equations is considered in this paper. This technique utilizes inversion to map the optimal control problem to a lower dimensional space. Results are presented using the Nonlinear Trajectory Generation software package (NTG) showing that real-...