12 citations · 22 across the 6 of their papers we have counts for
3 papers · 1 filter
Local congruence of chain complexes
Gianmaria DelMonte, Elia Onofri, Giorgio Scorzelli +1
The object of this paper is to transform a set of local chain complexes to a single global complex using an equivalence relation of congruence of cells, solving topologically the n…
Topological computing of arrangements with (co)chains
Alberto Paoluzzi, Vadim Shapiro, Antonio DiCarlo +3
In many areas of applied geometric/numeric computational mathematics, including geo-mapping, computer vision, computer graphics, finite element analysis, medical imaging, geometric…
Finite Boolean Algebras for Solid Geometry using Julia's Sparse Arrays
Alberto Paoluzzi, Vadim Shapiro, Antonio DiCarlo +2
The goal of this paper is to introduce a new method in computer-aided geometry of solid modeling. We put forth a novel algebraic technique to evaluate any variadic expression betwe…