Geometric Modelling of Octagonal Lamp Poles

Fluorescent Lamp Modelling for Voltage Fluctuations

Fixed Poles for Non Minimal Systems: a Geometric Approach

When considering the set of all possible solutions, e.g. by state or measurement feedback, of a given control problem (e.g. disturbance decoupling), complete pole placement is usually not possible, due to the so-called fixed poles: these are present as dynamics of the compensated system, whatever be the way the solution has been designed (within the chosen class). These fixed poles have two dif...

Enumeration of octagonal tilings

Random tilings are interesting as idealizations of atomistic models of quasicrystals and for their connection to problems in combinatorics and algorithms. Of particular interest is the tiling entropy density, which measures the relation of the number of distinct tilings to the number of constituent tiles. Tilings by squares and 45 rhombi receive special attention as presumably the simplest mode...

Constrained Multiresolution Geometric Modelling

Freeform curves, surface and solids are generally represented in B-spline basis. Various geometric quantities, such as control points, knots and weights have to be specified. Controlling the shape of an object under complex deformations by manipulating the control points directly is often difficult. The movement of control points gives an indication of the resulting deformation, but being extra...

Modelling Constrained Geometric Objects

In this paper we introduce a formal specification of the problem of modelling geometric constrained objects adopting OBJSA nets, a high level Petri net. The geometric objects are defined imperatively while constructing them. The approach is innovative in that it solves constraints during manipulation, propagating messages among the objects involved in the geometric figure and it does not requir...