IGC website
This website is shared between ADAGIO, ALICE, MAGRIT and VEGAS, four research teams in LORIA-INRIA Nancy Grand-Est doing research in Image, Geometry and Computation.
ADAGio: Applying Discrete Algorithms to Genomics and Imagery
The general goal of ADAGio is to develop efficient algorithms on discrete structures, such as strings, trees, graphs, maps, polyominoes, etc. This development comes through deep theoretical studies of combinatorial properties of those structures. Our distinguished application areas are discrete geometry and bioinformatics, in which discrete models play a crucial role. A particular attention is drawn to creating experimental software implementing algorithms we develop.
ALICE: Geometry and Light
ALICE is an INRIA project-team that aims at studying some fundamental aspects of Computer Graphics. More specifically, we study the interaction of light with the geometry of the objects. The lighting problem consists in designing accurate and efficient numerical simulation methods for the light transport equation. The geometrical problem consists in developing new solutions to transform and optimize geometric representations. Our original approach to both issues is to restate the problems in terms of numerical optimization. We try to develop solutions that are provably correct, scalable and numerically stable. Besides Computer Graphics, we have cooperations with researchers and people from the industry, who experiment applications of our general solutions to various domains, comprising CAD, industrial design, oil exploration, plasma physics...
MAGRIT : Visual Augmentation of Complex Environments
The Magrit team carries out researches in the field of computer vision, with a focus on augmented reality applications. Augmented reality is a relatively new field. It aims at augmenting the user's perception by adding in his field of view elements that improves his comprehension of his environment. Applications of this concept are plentiful and concern medical gesture assistance, learning and maintenance systems, cultural heritage, audiovisual... In order to integrate information at the right place in the user's field of view, whatever his motion, the observer's viewpoint has to be computed at every instant. Moreover, reconstructing, even partially, the observed environment is necessary to manage occlusions between the added objects and the scene or to take light interreflexions into account. Only elementary commercial applications of this concept exist to date. These applications are only effective in environments with limited user action which are furthermore often instrumented (landmarks). Many challenges remain to be tackled so as to address applications in complex environments. The Magrit team research aims at proposing robust solutions to the two main issues faced in augmented reality: viewpoint computation and reconstruction of the scene elements necessary to set up the application.
VEGAS: Effective Geometric Algorithms for Surfaces and Visibility
The main scientific focus of our group is the design and implementation of technology-independent, robust and efficient geometric algorithms for 3D visibility and low-degree algebraic surfaces. Meeting our computational objectives requires mathematical tools that are both geometric and algebraic. In particular, we need further knowledge of the basic geometry of lines and surfaces in a variety of spaces and dimensions as well as to adapt sophisticated algebraic methods, often computationally prohibitive in the most general setting, for use in solving seemingly simple geometric problems.
