A simple strategy for defining polynomial spline spaces over hierarchical T-meses

[EN]We present a new strategy for constructing spline spaces over hierarchical T-meshes with quad- and octree subdivision scheme. The proposed technique includes some simple rules for inferring local knot vectors to define C 2 -continuous cubic tensor product spline blending functions. Our conjecture is that these rules allow to obtain, for a given T-mesh, a set of linearly independent spline functions with the property that spaces spanned by nested T-meshes are also nested, and therefore, the functions can reproduce cubic polynomials. In order to span spaces with these properties applying the proposed rules, the T-mesh should fulfill the only requirement of being a 0- balanced mesh...

Integrating an entertainment robot

[EN]In this paper we will present Eldi, a mobile robot that has been in opertation at the Elder Museum of Science and Technology at Las Palmas de Gran Canaria since december 1999. This is an ongoing project that was organized in three different stages of which only the first one has been accomplished. The initial phase, termed "The Player", the second stage, actually under develpment, has been called "The Cicerone" and in the final phase, termed "The Vagabond", in which Eldi will be allowed to move erratically across the Museum. This paper will focus on the accomplished first stage to succinctly describe the physical robot and the environment and demos developed. Finally we will summarize some important lessons learnt.