Schreiber and Yukich [Ann. Probab. 36 (2008) 363–396] establish an asymptotic representation for random convex polytope geometry in the unit ball Bd , d ≥ 2, in terms of the general theory of stabilizing functionals of Poisson point processes as well as in terms of generalized paraboloid growth processes. This paper further exploits this connection, introducing also a dual object termed the par...

The adjustment method of the fast active reflector “Chinese heavenly eye” is studied. Firstly, this paper studies offset characteristics main cable node position, combined with position celestial body to be measured, follow-up coordinate system established, and optimal fitting model based on discrete established by using idea ideal surface. Secondly, genetic algorithm used solve minimum root me...

It is very important to improve the quality of surface meshes for numerical simulations, solid mesh generation, and computer graphics applications. Optimizing the form of the mesh elements it is necessary to preserve new nodes of the mesh as close as possible to a surface approximated by the initial mesh. This paper proposes a novel technique in which both of the requirements to mesh improvemen...

Lens tilt and decentration relative to the corneal axis are two of the factors which cause aberration in human eyes. Although many techniques have been developed to quantitatively measure these factors, however, they are mostly confined in 2D observations. To extend the view from 2D to 3D, MR imaging technique becomes a good candidate due to its capability of 3D-image reconstruction and with fa...

We consider the construction of a polyhedral Delaunay partition as limit sequence power diagrams (radical partitions). The dual Voronoi diagram is obtained weighted partitions. problem reduced to two convex polyhedra, inscribed and superscribed around circular paraboloid, pairs general polyhedra. primal polyhedra should converge polyhedron converges polyhedron. are interested in case when verti...

1. Glycogen was studied in retinas of the chick (Gallus gallus), fixed in Gendre's fluid and stained by the periodic acid/Schiff method. In agreement with some of the earlier data on the subject, obtained with less suitable methods, glycogen was found in the paraboloid of accessory cones and in the characteristically shaped paraboloid of the rods. 2. Basiphilia, observable by means of the gallo...

 Li Meng is a visiting-student of Department of Mechanical Engineering at MIT. * Corresponding author, Email: [email protected]. ABSTRACT In a Solar Power Tower (SPT) system, the ideal shape of a heliostat concentrator is a section of paraboloid which is a function of the location in the array and the incidence sun angle. This shape is difficult to achieve and limits the system efficiency. A sh...