A new method for the statistical modeling of free-form surfaces is presented. The surface is represented in a parametric way, where each cartesian coordinate is a function of surface coordinates (u, v). We apply parameterization algorithms from the manifold learning and computer graphics literature to find these surface coordinates and then use them as locations in a spatial Gaussian Process mo...

Purpose – Aims to clarify the use of “nuclear” robots with special reference to one UK contractor (Magnox) and the cost-effectiveness of its decommissioning programme. Design/methodology/approach – Goes through the protocol of the use of robots in the disposal of contaminated scrap. Findings – Justifies the use of a built-to-order modular linear (Cartesian) robot system required by Magnox. Orig...

Abstract: In this paper, a prototype Cartesian Parallel Manipulator (CPM) is demonstrated, in which a moving platform is connected to a fixed frame by three PRRR limbs. Due to the orthogonal arrangement of the three prismatic joints, it behaves like a conventional X-Y-Z Cartesian robot. However, because all the linear actuators are mounted at the fixed frame, the manipulator may be suitable for...

in the research, six degrees of freedom hexapod parallel machine tool is studied and investigated. jacobian matrix is developed by cinematic relations differentiation and using weighted coefficient method, dimensional analysis operation is carried out on jacobian matrix. geometric parameters of cartesian robot workspace are optimized, considering a minimum allowable rotation about three axes, a...

A time-domain numerical code (the so-called Texas code) that solves the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation has been extended from an axis-symmetric coordinate system to a three-dimensional (3D) Cartesian coordinate system. The code accounts for diffraction (in the parabolic approximation), nonlinearity and absorption and dispersion associated with thermoviscous and relaxation proces...

While you have probably used tensors of rank 1, i.e vectors, in special relativity, relativity is most efficiently expressed in terms of tensor algebra. General relativity, however, requires tensor algebra in a general curvilinear coordinate system. Before discussing special relativity, it will be useful to introduce some of the mathematics of differential forms in a general curvilinear set of ...

A primary objective of the eMouseAtlas Project is to enable 3D spatial mapping of whole embryo gene expression data to capture complex 3D patterns for indexing, visualization, cross-comparison and analysis. For this we have developed a spatio-temporal framework based on 3D models of embryos at different stages of development coupled with an anatomical ontology. Here we introduce a method of def...

.......................................................................................................................................... 3 Introduction ..................................................................................................................................... 4 Protein Structure ............................................................................................