Using concepts from rough set theory we investigate the existence of approximative descriptions of collections of objects that can be extracted from data sets, a problem of intere...
Topological persistence has proven to be a key concept for the study of real-valued functions defined over topological spaces. Its validity relies on the fundamental property tha...
We address the problem of curvature estimation from sampled compact sets. The main contribution is a stability result: we show that the Gaussian, mean or anisotropic curvature mea...
In this correspondence, we prove that the affine invariants proposed recently by Yang and Cohen [1] are algebraically dependent. We show how to select an independent and complete s...