Computer Aided Construction of Reinforced Weaves Using Matrix Calculus

This paper describes mathematical modelling of traditional graphic structures within textile materials using binary matrices, which is made possible by the binary nature of these structures. An algorithm is presented for woven design construction (weave draft, threading draft, treadling draft and tie-up), as well as an algorithm for weave reinforcement using binary matrices. The general advantage of the algorithm is its simplicity and execution speed. Application of the weave reinforcement algorithm is also presented in this paper, and the computer program, written in C#, shows the ease of its implementation, opening the way to integration into existing and new CAD/CAM packages.