Abstract
In the light of the mapping between [0,1] matrices of fabric weaves, we establish in this paper a mathematical model for fabric weave design – one type of non-associative algebra composed of seven basic transformations in a two-element field. In view of current practice, we expand the generative set of the mapping of this mathematical model to cover the general transformation methods in traditional weave design. Taking the algorithm of the Kronecker product as an example, we also illustrate the applied potentialities of the generative set of mapping in the CAD of fabric weaves.
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