Environment for development of human beings and animation of
human nature.

Smallest
dilation
(2013-on going):

Algorithms for computing the smallest dilation substructure
of a given topological metric structure.

Chromatic
art gallery (2012-on going):

Exact algorithms for minimizing the number of colors required
to guide a robot within a polygonal environment.

Interactive
image segmentation (2012-on going):

Semi-supervised image segmentation and object identification.

Covering
geometric objects with disks (2011-on going):

Approximation algorithms to minimize the total cost for
covering given geometric objects with disks under a polynomial
cost function on the disks’ radii.

Active
learning paradigms for pattern recognition (2011-on
going):

Semi-supervised image annotation that rely on a priori data
reduction and organization.

Characterization
of visibility graphs of fans (2011-2013):

Studying properties of visibility graphs of (pseudo-)fans.

Investigation of non-Euclidian geometries based on families
of curves along with the development of a geometric tool
(GFViewer) for creating and manipulating objects in said
geometries (Linux and Windows).