Université d'Auvergne Clermont1 | CNRS


Digital geometry


The task of Digital Geometry (and Topology) is to provide a geometrical mathematical theory of the pixel and voxel shapes that arise in many applications from medical imagery to image analysis. The group is focused on

  • the geometry of digital surfaces: we introduce for instance a new kind of digital primitives called Digital Level Layers.
  • combinatorial inverse problems, such as Discrete Tomography, the Partial Digest Problem...
  • topology correction (based on homotopy and min-Cut/mac-Flow technics)
  • and digital deformable surfaces.