3 papers
cs.GR2021
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…
cs.CG2019
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…
cs.CG2008
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…