Modeling of woven fabric structures based on Fourier image analysis

Abstract

The periodic woven structures of fabrics can be defined on the basis of the convolution theorem. Here an elementary unit with the minimum number of thread crossings and a nonrectangular two-dimensional comb function for the pattern of repetition is used to define woven structures. The expression derived is more compact than the conventional diagram for weaving, and the parameters that one needs to determine a given fabric can easily be extracted from its Fourier transform. Several results with real samples of the most common structures-plain, twill, and satin-are presented.

A thread counting algorithm for art forensics

“…The predicted spectrum consists of impulses at the origin (removed) and at the horizontal and vertical frequencies ± f h and ± f v respectively. This spectrum is somewhat simpler than that predicted for modern fabric weave [8,9], indicating that the model could possibly be improved. Be that as it may, clearly identifiable peaks at the thread frequencies dominate the spectrum, and help interpret the spectra shown in Figure 2.…”

Stochastic simulation of woven composites forming

“…in the corresponding tow direction [21]. Based on these principles and the use of the fast Fourier transform (FFT), computationally efficient methodologies for analysing woven textile images have been developed and applied to automated defect detection and weave pattern identification in textiles [23,24].…”

Matching canvas weave patterns from processing x-ray images of master paintings

“…These patterns have different spectra [9], most of which are dominated by horizontal and vertical peaks. We have derived the spectra these weave patterns yield and have developed accordingly spectral algorithms that can cope with all that have been seen to date.…”