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首页> 外文期刊>The Journal of the Textile Institute >Structure analysis and surface simulation of woven fabrics using fast Fourier transform techniques
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Structure analysis and surface simulation of woven fabrics using fast Fourier transform techniques

机译：快速傅立叶变换技术对机织织物进行结构分析和表面模拟

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Fourier transform techniques are particularly suitable for modelling woven fabrics with periodic structures. These techniques allow us to analyse the periodicity and the directionality of repeated elements. In fact, while passing through the Fourier spectrum, each periodic element is characterised by a peak whose value and frequency are proportional to the magnitude, spacing, and orientation of this element in the spatial domain. So the shape of the spectrum and its composition depend on the fabric's structural parameters. In this paper we apply the two-dimensional fast Fourier transform (FFT) to two types of woven fabrics - plain and 2/1 twill weaves - whose surfaces were digitalised using an optical profiler. Then we link the typology of the obtained spectrum to the fabric characteristics in a particular pattern and yarn densities. This correlation is used to provide a new approach for the simulation of the original fabric, also rendering the simulation of other fabrics with new structural parameters using the inverse FFT. Indeed, the angular distribution deduced from the magnitude spectrum of these surfaces shows the existence of three privileged directions: horizontal, vertical and diagonal - corresponding respectively to the directions of warp, weft and diagonal periodic structure. The orientation of the diagonal direction is characteristic of the pattern type, warp and weft densities. Dominant peaks in each one of these directions are correlated to the periodicity of the corresponding structure. Thus, the characterisation of the fabric in the frequency domain can be reduced to several dominant elements of the spectrum. Consequently, a simple change of these elements will allow us to simulate fabric surfaces according to their characteristics using the inverse fast Fourier transform.
机译：傅里叶变换技术特别适合于对具有周期性结构的机织物进行建模。这些技术使我们能够分析重复元素的周期性和方向性。实际上，当通过傅立叶谱时，每个周期性元素的特征在于一个峰值，其值和频率与该元素在空间域中的大小，间距和方向成比例。因此，光谱的形状及其组成取决于织物的结构参数。在本文中，我们将二维快速傅里叶变换（FFT）应用于两种类型的机织织物-平纹织物和2/1斜纹织物-它们的表面已使用光学轮廓仪进行了数字化处理。然后，我们将获得的光谱的类型与特定图案和纱线密度的织物特性联系起来。这种相关性用于为原始结构的仿真提供一种新方法，还可以使用逆FFT渲染具有新结构参数的其他结构的仿真。实际上，从这些表面的幅度谱推断出的角度分布表明存在三个特权方向：水平，垂直和对角线-分别对应于经，纬和对角线周期性结构的方向。对角线方向的取向是图案类型，经纱和纬纱密度的特征。这些方向中的每个方向上的主要峰都与相应结构的周期性相关。因此，可以将织物在频域中的表征简化为频谱的几个主要元素。因此，这些元素的简单更改将使我们能够使用快速傅里叶逆变换根据其特征来模拟织物表面。

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