Optical spatial filtering technique has been applied for detecting defects in textile fabrics. The spatial frequency
C of a missing defect is distributed on the low frequency region of the first-order peak
C=1, while that of an insertion defect on the high frequency region of the peak. Filtering out the corresponding spatial frequency part makes it possible to distinguish these two defects each other, Furthermore, under favorable conditions, these defects can be graded by suitably filtering out the spatial frequency. A model calculation and two experiments have been made to explore the possibilities.
In actual textile fabrics the disturbances of pick spacings in the neighborhood of a missing defect are approximately given by where
k is the pick number from the defect and σ
i is the standard deviation. Diffraction patterns have been calculated by changing σ
i(1_??_3) and other two parameters, i. e. the ratio of transpatent spacing to pick spacing R (1/6_??_1/2) and the total number of yarns
N (40_??_80). The results indicate that the Patterns are mainly distributed over the frequency range of 0.7_??_C_??_0.96. By taking account of the standard deviation _??_ (0.02_??_0.08) representing the inherent irregularity of the pick spacing, it is shown that the frequency ranges 0.7_??_C_??_0.96 and 0.85_??_C_??_0.96 are suitable for detecting the missing defects with σ
i=2 and σ
i=1, respectively. The similar discussions must be applied for an insertion defect.
A model with
R=0.25 and
N=60 has been constructed with IBM cards, which has missing defects with 1+
f(0)=1.2 and insertion defects with 1-
f(0)=0.75. The diffraction pattern has been measured by using a pin hole and a photomultiplier tube, which agrees well with the calculated one. Missing defects and insertion defects can easily be distinguished. By choosing the frequency range 1.05_??_C_??_1.2 and 1.25_??_C_??_1.35, the insertion defects with 1-
f(0)=0.8 and 1-
f(0)=0.75 can also be detected separately. The usefulness of this technique has been demonstrated by detecting a missing defect in a glass textile fabric and an insertion defect in a cotton fabric.
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