Discrete Geometry
Discrete geometry studies the geometric properties of objects defined on regular grids — pixels, voxels, or crystal lattices. It is the branch of mathematics that enables measuring shapes, computing distances, and analysing structures in a digitised space.
Chamfer distances
Publications
- 2007 Fouard Céline,Strand Robin,Borgefors Gunilla —Weighted distance transforms generalized to modules and their computation on point lattices · *Pattern Recognition Vol 40 Issue 9*
- 2006 Fouard Céline,Gedda Magnus —An Objective Comparison between Gray Weighted Distance Transforms and Weighted Distance Transforms On Curved Spaces · *Proceedings of DGCI 2006*
- 2006 Strand Robin,Nagy Benedek,Fouard Célineet al. —Generating Distance Maps with Neighbourhood Sequences · *Discrete Geometry for Computer Imagery*
- 2006 Fouard Céline,Malandain Grégoire,Prohaska Steffenet al. —Blockwise processing applied to brain microvascular network study · *IEEE Transactions on Medical Imaging ( Volume: 25, Issue: 10, October 2006) *
- 2006 Cassot Francis,Lauwers Frederic,Fouard celineProhaska Steffenet al. —A Novel Three-Dimensional Computer-Assisted Method for a Quantitative Study of Microvascular Networks of the Human Cerebral Cortex · *Microcirculation*
- 2005 Fouard Céline,Malandain Grégoire —3-D chamfer distances and norms in anisotropic grids · *Image and Vision Computing*
- 2005 Fouard Céline —Extraction de paramètres morphométriques pour l'étude du réseau micro-vasculaire cérébral · Thèse de doctorat, *Université de Nice Sophia Antipolis*
- 2003 Fouard Céline,Malandain Grégoire —Systematized calculation of optimal coefficients of 3-D chamfer norms · *Discrete Geometry for Computer Imagery, 11th International Conference, DGCI 2003*
Centrelines (skeletonisation)
Publications
- 2006 Fouard Céline,Malandain Grégoire,Prohaska Steffenet al. —Blockwise processing applied to brain microvascular network study · *IEEE Transactions on Medical Imaging ( Volume: 25, Issue: 10, October 2006) *
- 2006 Cassot Francis,Lauwers Frederic,Fouard celineProhaska Steffenet al. —A Novel Three-Dimensional Computer-Assisted Method for a Quantitative Study of Microvascular Networks of the Human Cerebral Cortex · *Microcirculation*
- 2005 Fouard Céline —Extraction de paramètres morphométriques pour l'étude du réseau micro-vasculaire cérébral · Thèse de doctorat, *Université de Nice Sophia Antipolis*
- 2004 Kolesik Peter,Fouard Céline,Prohaska Steffenet al. —Automated method for non-destructive 3D visualisation of plant root architecture using X-ray tomography · *4th International Workshop on Functional-Structural Plant Models*