Dissertation
TopoKnit: a process-oriented topology representation for modeling and analyzing weft-knitted textiles
Doctor of Philosophy (Ph.D.), Drexel University
Dec 2022
DOI:
https://doi.org/10.17918/00001441
Abstract
Knitting is a method of producing textiles that has been employed by humans for over a millennium and is increasingly important to many industries. Despite their long-time existence and significant capabilities, computational modeling, simulation, and design tools have been underutilized for tex- tiles in general, limiting the ability of knitted textiles to be widely deployed and to reach their full industrial potential. These computational tools require a robust representation and ecient evaluation of the spatial, material and physical properties of textile structures. This dissertation proposes 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. This work defines the properties of the process space, designs a data structure, and implements topological queries for knitted fabrics. The topological representation enables a number of other capabilities, namely integrity and stability analysis, and stitch command generation for the inverse design of specified topological structures. TopoKnit's data may also be transformed into a knot diagram representation for further downstream topological analysis.
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Details
- Title
- TopoKnit
- Creators
- Levi Maharaj
- Contributors
- David E. Breen (Advisor)
- Awarding Institution
- Drexel University
- Degree Awarded
- Doctor of Philosophy (Ph.D.)
- Publisher
- Drexel University; Philadelphia, Pennsylvania
- Number of pages
- xiv, 145 pages
- Resource Type
- Dissertation
- Language
- English
- Academic Unit
- Computer Science (Computing) (2013-2026); College of Computing and Informatics (2013-2026); Drexel University
- Other Identifier
- 991020034314004721