12 citations · 22 across the 5 of their papers we have counts for
6 papers
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…
Geometric Computing with Chain Complexes: Design and Features of a Julia Package
Francesco Furiani, Giulio Martella, Alberto Paoluzzi
Geometric computing with chain complexes allows for the computation of the whole chain of linear spaces and (co)boundary operators generated by a space decomposition into a cell co…
Regularized arrangements of cellular complexes
Alberto Paoluzzi, Vadim Shapiro, Antonio DiCarlo
In this paper we propose a novel algorithm to combine two or more cellular complexes, providing a minimal fragmentation of the cells of the resulting complex. We introduce here the…
Chain-Based Representations for Solid and Physical Modeling
Antonio DiCarlo, Franco Milicchio, Alberto Paoluzzi +1
In this paper we show that the (co)chain complex associated with a decomposition of the computational domain, commonly called a mesh in computational science and engineering, can b…