TopoKnit : A Process-Oriented Representation for Modeling the Topology of Yarns in Weft-Knitted Textiles

01/12/2021
by   Levi Kapllani, et al.
Drexel University
0

Machine knitted textiles are complex multi-scale material structures increasingly important in many industries, including consumer products, architecture, composites, medical, and military. Computational modeling, simulation, and design of industrial fabrics require efficient representations of the spatial, material, and physical properties of such structures. We propose a process-oriented representation, TopoKnit, that defines a foundational data structure for representing the topology of weft-knitted textiles at the yarn scale. Process space serves as an intermediary between the machine and fabric spaces, and supports a concise, computationally efficient evaluation approach based on on-demand, near constant-time queries. In this paper, we define the properties of the process space, and design a data structure to represent it and algorithms to evaluate it. We demonstrate the effectiveness of the representation scheme by providing results of evaluations of the data structure in support of common topological operations in the fabric space.

READ FULL TEXT

page 4

page 19

page 20

07/07/2017

The Stellar tree: a Compact Representation for Simplicial Complexes and Beyond

The efficient representation and management of simplicial and cell compl...
07/21/2020

New Data Structures for Orthogonal Range Reporting and Range Minima Queries

In this paper we present new data structures for two extensively studied...
10/10/2018

Using ACL2 in the Design of Efficient, Verifiable Data Structures for High-Assurance Systems

Verification of algorithms and data structures utilized in modern autono...
01/08/2020

The Simplex Tree: an Efficient Data Structure for General Simplicial Complexes

This paper introduces a data structure, called simplex tree, to represen...
01/27/2022

Predecessor on the Ultra-Wide Word RAM

We consider the predecessor problem on the ultra-wide word RAM model of ...
07/04/2018

The Implementation of the Colored Abstract Simplicial Complex and its Application to Mesh Generation

We introduce CASC: a new, modern, and header-only C++ library which prov...
04/24/2020

Molecular Inverse-Design Platform for Material Industries

The discovery of new materials has been the essential force which brings...

Please sign up or login with your details

Forgot password? Click here to reset