Since early 2008, the Laboratorio de Computacion Grafica y Geometria Aplicada (CGGA) and the Computacion Cientfica research group of the Universidad Nacional de Colombia, Sede Medellin have been collaborating in a series of themes concerning geometry and optimization with a strong emphasis on applications. In this minisymposium we will be presenting results concerning the following topics:

- Using lemniscates to construct orthogonal grids on meander-like regions
- Using envelopes of 1-parameter families to construct path splines
- The Prony method in the detection of tissue types in brain
- Construction of developable low degree patches
- Models of molecular surfaces
- Distribution of circles along a cyclide.