Detecting fabric density and weft distortion in woven fabrics using the discrete fourier transform
Detecting fabric density and weft distortion in woven fabrics using the discrete fourier transform
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DOI：
10.1145/3409334.3452049
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发表时间：
2021-04
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影响因子：
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通讯作者：
Bach Le;David Troendle;Byunghyun Jang
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文献类型：
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作者：
Bach Le;David Troendle;Byunghyun Jang
织物密度和变形在制造过程中提供了关于织物属性和质量的重要信息。然而，大多数当前的程序需要人工努力，这通常是低效的，耗时的，并且不精确。在本文中，我们提出了一种自动的方法，使用二维快速傅立叶变换（2D-FFT）来计算纱线的数量，并确定织物图像中纬纱的角度旋转。首先，我们解释了傅立叶变换和2D-FFT的数学背景。然后，我们使用一个定制和优化的软件包，应用2D-FFT提取图像的幅度，相位和功率谱。我们在对应于周期性结构（基本编织图案）的选定频率上应用逆2D快速傅立叶变换（2D-iFFT）来重建原始图像并分别提取经纱和纬纱。最后，我们使用一个局部自适应的阈值处理，将重建图像转换成二值图像，以进行计数和计算。对于纬纱的旋转，我们在频域上进行数学计算，收集角度分布，然后计算出纬纱的主要旋转。实验结果表明，该方法具有较高的准确性，能够检测不同图案的织物。我们也观察到，我们的建议方法的处理时间是实际的和时间效率。
Fabric density and distortion offer important information on fabric attributes and quality during the manufacturing process. However, most current procedures require human effort, which is often inefficient, time-consuming, and imprecise. In this paper, we propose to use an automatic method using the 2D Fast Fourier Transform (2D-FFT) to count the number of yarns and determine the angle rotation of weft yarns in fabric images. First, we explain the mathematical background of Fourier Transform and 2D-FFT. Then, we use a customized and optimized software package to apply a 2D-FFT to extract image magnitude, phase, and power spectrum. We apply the inverse 2D Fast Fourier Transform (2D-iFFT) on selected frequencies corresponding to periodic structures - basic weave patterns - to reconstruct the original image and extract warp and weft yarns separately. Finally, we use a local adaptive threshold process to convert reconstructed images into binary images for the counting and calculating process. For the weft rotation, we apply a mathematical calculation on the frequency domain to collect the angular distribution and then figure out the major rotation of weft yarns. Our experiments show that the proposed method is highly accurate and capable of inspecting different patterns of fabric. We also observe that the processing time of our proposal method is practical and time-efficient.