# Main Page

### From ErgaWiki

Welcome to the Wiki Pages of ΕρΓΑ Lab (Algebraic and Geometric Algorithms) at University of Athens (Lab webpage)

Implicitization experiments on curves and surfaces. Implicitization is the problem of transforming the parametric representation of a geometric object (e.g. curve of surface) to its implicit representation. Our group is working on matrix representations of implicit varieties, by exploiting the structure of the polynomials.

(figure of the Newton polytope of a sparse resultant, used for sparse implicitization)