12 citations · 23 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…