Since its creation in 1995, our Research Group has worked on several lines of research ranging from theoretical issues to applied ones:
Computational geometry studies the resolution of geometric problems from the point of view of Computer Science. This area is the basis for other fields, such as Computer Graphics or Geographic Information Systems. In this context, we are devoted to the implementation of efficient algorithms focused on discrete geometry, combinatorial complexity, the investigation of geometric data structures and the solution of visibility problems among others.
This branch of applied mathematics and computational geometry is dedicated to the creation, transformation and visualization of geometric objects using mathematical representations of their shapes. These 3D models are essential for computer-aided design and manufacturing applications (CAD/CAM). In GGGJ we focus on solid modeling of polyhedral objects, free-form solid modeling and heterogeneous object modeling. The design of new representation and editing methods is a key aspect of our work.
Advanced applications in Computer Graphics
We develop modern Computer Graphics techniques in order to solve problems in fields like Animation, Virtual Reality or Biomedicine. We have worked on topics such as generation of stereoscopic CGI films, analysis of medical images for the early detection of diseases (for example: multiple sclerosis) using GPGPU or computer-aided reduction of bone fractures.
This line of research is the result of combining Earth Sciences and Computer Sciences. In this area, we have provided GPU acceleration to some algorithms, mainly for hydrological applications. Moreover, we have some experience in the processing of data provided by LIDAR technology, spatial data mining and visualization of large terrain 3D models in mobile devices.
Design and implementation of Geographic Information Systems
Geographic Information Systems provide tools to manage, analyze, visualize and create reports from geospatial information. Our Research Group has covered several topics in this line, such as the design and implementation of 3D GIS, the navigation and interaction in urban environments, the creation of Building Information Models (BIM) or their application in virtual archaeology.