— In this note, we present initial results towards developing a distributed algorithm for repairing topological holes in the sensor cover of a mobile robot team. Central to our a...
Abstract. We propose a unifying framework for polyhedral approximation in convex optimization. It subsumes classical methods, such as cutting plane and simplicial decomposition, bu...
In a 1967 paper, Banchoff stated that a certain type of polyhedral curvature, that applies to all finite polyhedra, was zero at all vertices of an odd-dimensional polyhedral manifo...
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
Abstract. Given two simplicial complexes C1 and C2 embedded in Euclidean space IRd , C1 subdivides C2 if (i) C1 and C2 have the same underlying space, and (ii) every simplex in C1 ...