In this paper, we propose a general framework for approximating differential operator directly on point clouds and use it for geometric understanding on them. The discrete approxi...
: Modeling of families of geometric objects is a major topic in modern geometric and solid modeling. Object families are central to many important solid modeling applications, incl...
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Complexity bounds for algorithms for robotic motion and manipulation can be misleading when they are constructed with pathological `worst-case' scenarios that rarely appear i...
Intrinsic complexity is used to measure the complexity of learning areas limited by broken-straight lines (called open semi-hulls) and intersections of such areas. Any strategy le...