We define strong r-similarity and the morphing distance to bound geometric distortions between shapes of equal topology. We then derive a necessary and sufficient condition for a ...
Abstract. Existing theories on shape digitization impose strong constraints on feasible shapes and require error-free measurements. We use Delaunay triangulation and -shapes to pro...
In order to make image analysis methods more reliable it is important to analyse to what extend shape information is preserved during image digitization. Most existing approaches t...
Weprovethatthegenusoftheboundaryofadigitalimageispreciselyhalfofthe sum of the cycle ranks of three particular graphs: the “foreground graph” and “background graph,” which ...
—The broad goals of verifiable visualization rely on correct algorithmic implementations. We extend a framework for verification of isosurfacing implementations to check topologi...
Tiago Etiene, Luis Gustavo Nonato, Carlos Eduardo ...