Research Fields
Geometric modelling and Computer Graphics
Resp: Bianca Falcidieno
Geometric modelling has been a key research topic at IMA for several years. Geometric modelling is a set of mathematical and computer science techniques which relate to different fields, such as geometry or computational topology or computer graphics. The main aim is to describe the shape of an object or phenomenon, through the definition of geometric primitive entities and the classification of the reference context, where by shape we identify an entity having a specific geometry and meaning associated.
More precisely, in geometric modelling it is important to study the co-relations between the mathematical model, the computational model and the graphical representation of objects in simulation and visualisation systems, mainly in applied contexts such as industrial production and environmental monitoring.
The main aim of this project is to broaden the role of traditional modelling with the definition of new representations able to highlight the semantic level at which we code our perception of shape. In particular, our aim is to define a new modelling paradigm, based on the formalisation of several aspects related to the shape, which can be used to formalise the geometric form of an object (geometric model) as well as the set of contexts, or views, which could use this model (semantic model).
To this aim, new models for the representation of topological and geometrical information will be defined, and new tools for the classification and recognition of shape features and topological structures will be developed.
