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2016 » Papers » Volume 3 » CAD application for dobby weaves design based on Cellular Automata theory 1. CAD APPLICATION FOR DOBBY WEAVES DESIGN BASED ON CELLULAR AUTOMATA THEORY Authors: CRISTIAN Irina, PIROI Cristina Volume 3 | DOI: 10.12753/2066-026X-16-249 | Pages: 484-491 | Download PDF | Abstract
Dobby weaves are decorative structures, which are characterised by small design or geometric figures woven in the fabric structure. Classical methods to diversify dobby weaves can be completed with a series of unconventional methods that derive from mathematics. Theories like fractals, chaos, and cellular automata, applied by CAD, can make easier and more efficient the creation process.
The paper presents a CAD application for dobby weaves design (named TexCel) based on Cellular Automata theory, created by researchers from Faculty of Textile-Leather and Industrial Management of Iasi, Romania. Cellular automaton consists in a regular lattice of elements named "cells", which pass simultaneously through a finite number of states, in discrete time steps. Each cell evolves according to the same rule, which depends only on the state of the cell and on a finite number of neighbouring cells. The successive states of certain cellular automata that evolve in a square lattice and that have only two possible states of cells - coloured in black or white), are similar to the graphical representation of weave structures for woven fabrics.
TexCel software contains two distinct parts: a drawing modulus and a drawing analysis modulus. The drawing modulus can be activated after the initialisation of the cellular automaton parameters (neighbourhood size, boundary conditions, initial condition and transition rule). The analysis modulus is necessary to eliminate those drawings that don't correspond to the fabric weaves conditions concerning the yarns' binding and the maximum float size. TexCel can select automatically and display only the balanced weaves or those that contain a settled maximum size of yarn floats.
The theory of Cellular Automata is immensely rich, with simple rules and structures being capable to produce a great variety of dobby weave patterns. Even after the drawing selection, still remain an impressive number of interesting graphical configurations that can be used to diversify the fabric structure. TEXCEL represent a real "drawing engine" for dobby weave design, with very large resources for pattern creation process. | Keywords
Dobby weaves, Cellular automata, CAD application for weaving |
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