It is shown that existence of a global solution to a particular nonlinear system of second order partial differential equations on a complete connected Riemannian manifold has topological and geometric implications and that in the domain of positivity of such solution its reciprocal is the radial function of only one of the following rotationally symmetric hypersurfaces in R: paraboloid, ellips...

Pascal Desnoguès Olivier Devillers y Abstract: Given a set S of data points in IR2 and corresponding data values for a speci c non-convex surface, the unit hyperbolic paraboloid, we consider the problem of nding a locally optimal triangulation of S for the linear approximation of this surface. The chosen optimality criterion will be the L2 norm: it means that we will try to nd directly a triang...

In this paper we present a shadow mapping technique for hemispherical and omnidirectional light sources using dual-paraboloid mapping. In contrast to the traditional perspective projection this parameterization has the benefit that only a minimal number of rendering passes is needed during generation of the shadow maps, making the method suitable for dynamic environments and real time applicati...

Received (Day Month Year) Revised (Day Month Year) Communicated by (xxxxxxxxxx) We review the coherent state or group-theoretical construction of the continuous wavelet transform (CWT) on the two-sphere. Next we describe the construction of a CWT on the upper sheet of a two-sheeted hyperboloid, emphasizing the similarities between the two cases.. Finally we give some indications on the CWT on a...

toodeh party was one of the organized parties in the first days of iran's islamic revolution. this party began its cooperation with the revolutionary forces after 16th polonium and nooraldin kianoori's election as its first secretary. its support from imam khomeini's leadership and the revolution was based on its analysis and understanding of the socio-political forces' posi...