M2 ISICG

In digital images, an object is represented by a set of pixels/voxels. In such a digital world, the axioms and properties of conventional Euclidean geometry are no longer valid. Indeed, due to the discontinuities induced by the digitization process of a function, geometrical and topological defects can be frequently observed in such a digital world. Digital geometry and topology aims at designing discrete models that allow to solve geometric and topological problems of such discrete objects. Its main application areas are image analysis and computer graphics. 

This course will focus on computerized modeling of geometric and topological shapes in digital world. We will study algorithms and data structures for creating, manipulating and analyzing digital shapes.