Geometry of Gauss digitized convex shapes

Publication
IAPR Third International Conference on Discrete Geometry and Mathematical Morphology

3D illustration of notations and concepts, from left to right: input convex shape X, its digitization Xh := X∩hZd seen as a collection of cubes (visually equivalent to the h-boundary ∂hX), its digitized convex hull Yh := CvxH (Xh), the h-boundary ∂hX with the normals of the closest facet on Yh. The three left images are rendered with material “normal”, i.e. the displayed color corresponds to the normal vector direction.