12 citations · 29 across the 6 of their papers we have counts for
7 papers
Model Consistency for Mechanical Design: Bridging Lumped and Distributed Parameter Models with A Priori Guarantees
Randi Wang, Vadim Shapiro, Morad Behandish
Engineering design often involves representation in at least two levels of abstraction: the system-level, represented by lumped parameter models (LPMs), and the geometric-level, re…
TopoKnit : A Process-Oriented Representation for Modeling the Topology of Yarns in Weft-Knitted Textiles
Levi Kapllani, Chelsea Amanatides, Genevieve Dion +2
Machine knitted textiles are complex multi-scale material structures increasingly important in many industries, including consumer products, architecture, composites, medical, and…
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…
Topological Semantics for Lumped Parameter Systems Modeling
Randi Wang, Vadim Shapiro
Behaviors of many engineering systems are described by lumped parameter models that encapsulate the spatially distributed nature of the system into networks of lumped elements; the…
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…