In this paper, we introduce and study a new implicit representation of parametric curves and parametric surfaces . We show how these representations which we will call the matrix implied, establish a bridge between geometry and linear algebra, thus opening the possibility of a more robust digital processing. The contribution of this approach is discussed and illustrated on important issues of g...

The number of high resolution space imageries, in the civilian market is growing fast.This images have great interest in the photogrammetric and remote sensing communities. The problem with this images for many users, at the present time is the lack of sensor calibration information and precise ephemeris data. Consequently it is not possible to apply the precise mathematical models such as orbi...

The multiangular and off-track pointing capabilities of CHRIS/PROBA introduce a strong distortion on the geometry on the resulting images. In order to make full scientific use of the data some information about the geometry of acquisition is needed. In particular, the viewing azimuth and zenith angles must be known, and the images must be geometrically corrected to make possible multi-angular a...

Dendrimers are highly branched organic macromolecules with successive layers or generations of branch units surrounding a central core [1,4]. These are key molecules in nanotechnology and can be put to good use. In this article, we compute the first geometricarithmetic index of two infinite classes of dendrimers.

This paper presents a method to estimate and correct the positions of an indoor mobile robot. Scene matching is based on geometric hashing[9, 101. An optimization method[l2] of maximizing cross-correlation of image regions is used to estimation correction. We assume that the robot is equipped with two or more video cameras, a 2 0 laser range finder and an odometry system. The 3 0 CAD model of i...