Research Projects


Real-time terrain visualization
With M. Gattass, L. C. Guedes, A. Montenegro, F. Szenberg, E. Machado

We investigate methods for real-time, interactive visualization of terrain, with or without other objects We consider several techniques to achieve this goal, including:

Image-based modeling
With: F. Szenberg, M. Gattass

The goal here is to integrate the use of images into the usual geometrical modeling environment. An example of an application is "juiz virtual" ( (virtual referee), which uses images to obtain information on the positions of the players on a soccer field. From that information, the resulting three-dimensional scene can be visualized from arbitrary positions.


Shortest paths for Geographical Information Systems
With: M. Gattass, L.H. de Figueiredo, A. Montenegro, A. Scuri

This line of research refers to the search for efficient methods for analyzing paths (and for finding shortest paths) in large maps, usually represented by regular grids. Hierarchical approachs, based on multi-resolution representation of such maps have been considered in this research.


Hybrid methods for volumetric visualization
With: M. Gattass, A. E. Scmhidt

We are investigating methods for efficient, possibly distributed visualization of hybrid models combining volumetric data and objects described by faces. A possible application is the planning of surgery, based on tomographical data.


Exact topology of implicit curves and surfaces
With: L. H. de Figueiredo, P. R. Cavalcanti

The goal here is to use interval and/or affine arithmetic to obtain, if possible, a exact topological description of the arrangement determined by a set of implicitly given planar curves.


Multi-resolution models for physically-based simulation
With: L. A. Rivera, L. Velho

We investigate the use of multi-resolution representations for the objects in a physically-based simulation, both for the detection and, especially, for the treatment of collisions. We conjecture that this may provide an adequate treatment of roughness in the contact of two objects.


Educational software for Mathematics and Physics
Our goal here is to use software already developed -- for Euclidean geometric constructions and for physical simulation -- as a basis for developing useful educational software.


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