Currently, customers apart from price more often focus their attention on the quality of textile fabrics. An appropriate ratio of price to quality is one of the basic conditions that must be fulfilled by the fabric to be bought by the consumer. Producers must provide a high output of their production and permanently control its course and qualitative parameters of fabric to obtain a high quality product with an adequate price. To maintain such a state of matter, spinning mills permanently modernize their machines and use their own laboratories to permanently control the successive intermediate products in the spinning process.
The quality of the yarns manufactured is best characterized by the distribution irregularity of yarn linear density that also exerts a considerable influence on parameters such as elongation at break, breaking force, degree of twist, and their coefficients of variation [1, 2].
Modern apparatuses used for yarn testing make it possible to create digital images of the predicted appearance of woven and knitted fabrics made of the yarn tested, which provides a possibility of a quick verification and makes it possible to undertake an appropriate action already in the phase of yarn production. To reliably perform the assessment, the images should be subjected to computer-aided analysis allowing one to eliminate subjective conclusions.
The fibers that are locked together due to imparting a proper twist to them or sizing form a cylindrical body known as yarn in the final stage of spinning. To be suitable without reservations for further processing into flat fabrics, the yarn has to possess appropriately selected qualitative parameters, which makes it possible to obtain it from woven of knitted fabrics with the best possible functional properties. The yarn quality depends on the properly selected fibers, technological process, and the parameters of machine operation in every spinning stage. The yarn quality is assessed by means of determining appropriate quality parameters, among which the most important one is the variation coefficient of linear density CV% on sections with different lengths. Other quality parameters may have higher or lower significance depending on the yarn application [3,4,5].
From the technological point of view, the irregularity of linear density is one of the most important parameters to assess both the final product and the spinning process itself. Depending on the fiber type used to make a yarn, the irregularity of the linear density of the fiber stream can be caused by the fiber thickness variability—in the case when the continuous filaments are used—or by using different number of staple fibers and their different linear densities.
In spinning industry, many sources of the yarn linear irregularity are defined. They are classified as structural irregularities resulting from the irregularity of the fiber quality parameters and as structural irregularities of the products in successive production stages and faults in the operation of particular machines.
The yarn linear density irregularity influences the physical properties of yarn and its breakage capability during spinning, and when it periodically occurs it can contribute to the occurrence of unwanted patterns in fabrics that deteriorate their quality.
So far, many methods of the irregularity assessment of the fiber stream linear density have been developed. Among them one can distinguish a method of irregularity gradient, a method of mobile average, and a correlational or spectral analysis. On account of a wide application, low labor intensity, and time consumption needed for performing the tests, the spectral analysis, also named harmonic analysis, is commonly used.
The spectral (harmonic) analysis allows one to test the irregularity of the yarn linear density and to detect the phenomenon of a hidden periodicity in the structure of spinning products. It also makes it possible to obtain detailed information about the structure of fiber stream through the decomposition of its thickness into harmonic components. The harmonic analysis has found a particular use in the spinning industry as a method of controlling production processes, making it possible to detect and localize errors and faults that appear during the yarn production.
In practice, using a special apparatus such as Uster Tester 5 (UT5), the spectrograms of the fiber stream thickness are drawn up, from which one can read up the values of harmonic components of amplitudes. The analysis of these spectrograms makes it possible to know the source of possible errors.
Technological faults reveal their presence in a spectrogram in the form of the so-called bumps consisting of clinging stripes with increased amplitude. Mechanical faults are revealed in the spectrogram of the yarn tested in the form of intensified stripes, also called peaks or chimneys. Depending on whether the periodical error is sinusoidal or non-sinusoidal, the intensified chimneys will occur at different intervals. For the sinusoidal errors, it will be one or two chimneys occurring directly one after the other. If a periodical error causes a non-sinusoidal mass distribution, the spectrogram will show a series of intensified peaks remote from each other.
Apparatus UT5, apart from the determination of spectrograms, can simulate the appearance of woven or knitted fabric on the basis of the spectral analysis. This allows one, still before the weaving or knitting process, to assess the appearance of a flat fabric that will be made of the yarn under analysis. However, this assessment is of a subjective character.
UT5 constitutes a multifunctional measurement system with a modular structure allowing the determination of the basic qualitative parameters of yarns and intermediate spinning products (Figure 1).
Figure 1
Apparatus UT5 model S800.

A typical measurement UT5 set consists of the main apparatus containing the modules for measuring selected qualitative parameters of yarn: unwinding creel, printer, and computer with dedicated software.
The basic modules of UT5 include module TH for measuring humidity and temperature, module CS for measuring the fiber stream irregularity, and module FM for a fast detecting foreign substances in yarn.
The modules optionally appearing in UT5 include MS module for measuring thick wool slivers, sensor OM dedicated for the determination of the diameter, rotundity, density, and surface structure of yarn. UT5 is equipped with sensor OH for measuring the yarn hairiness, and module OI for measuring the dust and foreign particles in the yarn structure. UT5 model S800 used in the tests was equipped with an automatic system of the exchange of the sample tested (Table 1).
UT5 modules
Temperature and humidity sensor | TH | Measurement of humidity and temperature in the surrounding of the tester |
Foreign matter sensor | FM | Detection of foreign matters in yarn |
Capacitive sensor | CS | Measurement of the yarn irregularity |
Optical multifunctional sensor | OM | Determination of the yarn diameter, roundness, density, and structure |
Optical hairiness sensor | OH | Measurement of yarn hairiness |
MS sensor | MS | Measurement of thick slivers |
Optical impurity sensor | OI | Testing impurities and dust in yarn |
Fineness automatic | FA | Measurement of the yarn purity |
Automatic changer | AT | Automatic transport of yarn from changer to the measurement slot |
Wool and wool-like yarns made by various spinning techniques, including classic single yarns, Siro Spun, and compact yarns were tested. Table 2 presents the characteristics of yarn. To use the wool in the technological process, in variants C, F, and G, it was treated with hypochlorite followed by resin treatment. The fabrics made of this yarn are suitable for washing and mechanical drying. Some yarns were subjected to the treatment with paraffin wax.
Characteristics of the yarns tested
Compact | 100% wool | 21.7 | 590 Z | Yes | |
Classic | 100% wool | 25.0 | 620 Z | No | |
Classic | 25% silk, 75% wool | 27.7 | 550 Z | Yes | |
Siro Spun | 100% wool | 31.2 | 650 S | No | |
Classic | 15% polyamide, 85% wool | 27.7 | 580 Z | No | |
Classic | 100% wool | 18.2 | 650 Z | Yes | |
Compact | 100% wool | 27.7 | 560 Z | No | |
Classic | 100% wool | 25.0 | 530 Z | No | |
Classic | 100% wool | 15.6 | 700 Z | No | |
Classic | 100% wool | 35.7 | 420 Z | No | |
Classic | 100% wool | 13.9 | 750 Z | No |
The basic qualitative parameters of yarns were determined in the spinning metrological laboratory. Apart from the determination of the yarn real linear density, a complete analysis of the yarn quality was carried out with the use of UT5 and strength parameters (Uster Tensojet 4) and twist (Twistmatic—Plus Code 2532). The test results obtained are listed in Table 3. For each measurement of the yarns analyzed by means of UT5, a spectrogram was prepared. As the spectrograms of various yarn variants were slightly different, a typical spectrogram of yarn variant K is shown in Figure 2.
List of the measurement results of the yarn qualitative parameters
A | 16.06 | 6.17 | 3.55 | 430.0 | 57.5 | 172.5 | 10.0 | 10.0 | 0 | 5.11 | 1.05 | 10.52 | 37.75 | 9.14 | 596Z | 21.8 |
B | 16.06 | 5.65 | 2.43 | 437.5 | 45.0 | 242.5 | 15.0 | 7.5 | 2.5 | 5.73 | 1.10 | 6.62 | 25.73 | 8.23 | 610Z | 25.0 |
C | 13.76 | 4.94 | 2.15 | 95.0 | 2.5 | 95.0 | 7.5 | 22.5 | 5.0 | 5.17 | 1.02 | 7.71 | 13.30 | 15.31 | 564Z | 24.0 |
D | 15.19 | 5.25 | 2.25 | 312.5 | 32.5 | 142.5 | 10.0 | 2.5 | 0.0 | 4.79 | 1.16 | 8.78 | 29.10 | 8.70 | 659S | 31.4 |
E | 18.41 | 6.53 | 2.53 | 920.0 | 177.5 | 372.5 | 27.5 | 20.0 | 2.5 | 6.23 | 1.11 | 16.83 | 29.22 | 9.51 | 568Z | 28.0 |
F | 17.75 | 6.28 | 3.19 | 777.5 | 115.0 | 315.0 | 47.5 | 82.5 | 30.0 | 6.10 | 1.06 | 5.61 | 30.36 | 7.67 | 667Z | 18.8 |
G | 15.88 | 5.60 | 2.77 | 415.0 | 50.0 | 202.5 | 20.0 | 42.5 | 17.5 | 6.53 | 1.06 | 5.99 | 28.23 | 8.40 | 573Z | 23.5 |
H | 17.99 | 6.83 | 3.50 | 820.0 | 122.5 | 305.0 | 17.5 | 22.5 | 5.0 | 6.36 | 1.08 | 9.64 | 39.07 | 7.76 | 520Z | 25.8 |
I | 19.00 | 6.51 | 2.87 | 1228.0 | 242.5 | 442.5 | 67.5 | 117.5 | 20.0 | 5.20 | 1.09 | 11.09 | 43.14 | 7.80 | 718Z | 15.8 |
J | 17.12 | 6.19 | 2.70 | 622.5 | 92.5 | 250.0 | 22.5 | 5.0 | 0.0 | 7.40 | 1.12 | 10.08 | 35.64 | 7.66 | 411Z | 35.8 |
K | 17.92 | 5.86 | 2.55 | 875.0 | 177.5 | 377.5 | 45.0 | 320.0 | 50.0 | 5.29 | 1.08 | 12.47 | 41.96 | 8.51 | 755Z | 13.8 |
Figure 2
Spectrogram of the linear density distribution of the fiber stream in yarn K.

Based on the linear density distribution of the yarn analyzed, UT5 apparatus can visualize the predicted appearance of woven or knitted fabric that will be made of this yarn. Such visualization was made for each of the yarn analyzed and the typical results are presented in Figures 3 and 4.
Figure 3
Predicted appearance of flat textiles: (a) woven fabric and (b) knitted fabric, obtained by means of Uster Tester 5 for yarn A.

Figure 4
Predicted appearance of flat textiles: (a) woven fabric and (b) knitted fabric, obtained by means of Uster Tester 5 for yarn E.

The yarns analyzed are characterized by a relatively low quality. They were selected so as to make the analysis results and the visualization of the predicted appearance of woven and knitted fabrics distinctly distinguishable.
The direct assessment of the quality of woven and knitted fabrics on the basis of their visualization by means of UT5 is to a large extent a subjective matter. Only a digital analysis of the image can eliminate this subjectivity in assessment.
In the case of yarns with considerably different quality parameters, the assessment of the predicted appearance of woven or knitted fabric, presented by UT5, does not give rise to greater problems, although the criteria of this assessment are of subjective character. On the other hand, in the case of yarns with similar qualitative parameters, the images of the predicted appearance of flat textiles will also be similar and consequently their assessment will not be unambiguous. To eliminate the subjectivity of the assessment made, one should find support in programs and methods that would make the analyses performed more objective [6,7,8].
Image analysis is a tool that makes it possible to distinguish information from an image by means of appropriated program transformations. The method proposed is based on the measurement of the average brightness of digital images and determination of the standard deviation of the image brightness. The average image brightness is an arithmetic average of the matrix generated on the basis of the brightness of single pixels forming an image.
Each digital image is consisted of pixels—some quantity of the smallest homogeneous elements that represent the given color or shade of grayness. Presenting an image as a pixel network, one can build a matrix with the quantity of lines and columns corresponding to the image width and height as shown in Figure 5 [9].
Figure 5
An example of pixel network: (a) image 10 × 10 and (b) matrix built on the basis of image.

The image pixels in the scale of grayness are described by means of a number from 0 to 255. Digit 0 indicates black pixel and number 255 indicates white pixel. The values between 0 and 255 constitute appropriate shades from the grayness scale. A pixel defined by number 100 will be darker than defined with number 101 or 200.
By means of appropriate computer software for each image, one can determine the basic statistic quantities such as the average image brightness that is an arithmetic average of the matrix and standard deviation. The image transformation into matrix and then the determination of image parameters can be performed by means of a script written in programing language Python. Python is a versatile language making it possible to form Internet links, image analysis or creating games, and report generation. To start the script, it is indispensable to have the Python language distributor. An example of such a program used in this study is Anaconda in the version of Python 2.7 [10].
As the yarns used in this study are weaving yarns, the computer analysis was carried out only for the images representing the predicted appearance of woven fabrics made of particular yarns. After performing a preliminary analysis and the optimization of the method, the average brightness was determined and then the standard deviation of the image was divided into 50 elements with dimensions 368 × 111 pixels. The scheme of the image division into 50 even rectangles is presented in Figure 6.
Figure 6
Diagram of image division.

All the digital images of woven fabrics made of particular yarns were analyzed. Table 4 presents the values of the standard deviation of image brightness of the yarns tested.
Measurement results of the standard deviation of the woven fabric image brightness
A | 7.07 |
B | 7.56 |
C | 7.61 |
D | 7.82 |
E | 8.08 |
F | 8.08 |
G | 8.09 |
H | 8.31 |
I | 8.42 |
J | 8.81 |
K | 8.98 |
Based on the measurement results of the standard deviation of the average image brightness, the diagrams of the standard deviation dependence of the average image brightness on the measurement results of the yarn qualitative parameters were prepared. Typical dependences are presented in Figures 7–9. The linear equation of regression and coefficient of
Figure 7
Diagram of the standard deviation dependence of the fabric image brightness as a function of the variability of the yarn linear density on short sections.

Figure 8
Diagram of the standard deviation dependence of the fabric image brightness as a function of the number of thin places at a level of −40%.

Figure 9
Diagram of the standard deviation dependence of the fabric image brightness as a function of yarn hairiness.

Based on the measurement of the coefficient of
Degree of fitting the regression equation to the data
Unsatisfying fitting | 0.00:0.50 |
Weak fitting | 0.50:0.60 |
Satisfying fitting | 0.60:0.75 |
Goof fitting | 0.75:0.90 |
Very good fitting | 0.90:1.00 |
The measurement results of the coefficient of
Degree of fitting the regression equation to the data
CV | 0.91 | Very good fitting |
CV 1 m | 0.70 | Satisfactory fitting |
CV 10 m | 0.10 | Unsatisfactory fitting |
Thin places −40% | 0.91 | Very good fitting |
Thin places −50% | 0.85 | Good fitting |
Thick places +35% | 0.89 | Good fitting |
Thick places +50% | 0.49 | Unsatisfactory fitting |
Neps +140% | 0.09 | Unsatisfactory fitting |
Neps +200% | 0.05 | Unsatisfactory fitting |
Hairiness | 0.04 | Unsatisfactory fitting |
Index | 0.10 | Unsatisfactory fitting |
The appearance of woven fabric is significantly affected by the irregularity of the yarn linear density on short sections and thick places at a level of −40% (very good fitting) and thick places at a level of +35% and thin places at a level of −50% (good fitting). The variability of the yarn linear density on 1 m sections shows a satisfactory degree of fitting to the standard deviation of average image brightness. The remaining parameters have no significant effect on the fabric appearance (unsatisfactory fitting).
From further analysis of results, it follows that the greater the length on which the irregularity of the yarn linear density is tested, the lower is the degree of fitting to the standard deviation of the average brightness. The long-section irregularity of yarn (CV10 m) does not show any effect on the woven fabric appearance, but this may be conditioned by a too small size of the image under analysis. The woven fabric appearance is affected only by the periodically appearing errors—the greater the value of the yarn linear density variability, the greater the probability of the occurrence of periodical distribution of error in the yarn. Errors such as neps or thick places do not always occur on the whole yarn circumference—part of them can remain in hiding, making no visual defect on the fabric surface. The situation is different in the case of thin places. Each thin place is visible on the entire circumference of the yarn, which causes a significant impact of this parameter on the appearance of the fabric.
Hairiness has no effect on the predicted fabric appearance, since it does not influence the regularity of the yarn linear density [11, 12].
Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Figure 8

Figure 9

List of the measurement results of the yarn qualitative parameters
A | 16.06 | 6.17 | 3.55 | 430.0 | 57.5 | 172.5 | 10.0 | 10.0 | 0 | 5.11 | 1.05 | 10.52 | 37.75 | 9.14 | 596Z | 21.8 |
B | 16.06 | 5.65 | 2.43 | 437.5 | 45.0 | 242.5 | 15.0 | 7.5 | 2.5 | 5.73 | 1.10 | 6.62 | 25.73 | 8.23 | 610Z | 25.0 |
C | 13.76 | 4.94 | 2.15 | 95.0 | 2.5 | 95.0 | 7.5 | 22.5 | 5.0 | 5.17 | 1.02 | 7.71 | 13.30 | 15.31 | 564Z | 24.0 |
D | 15.19 | 5.25 | 2.25 | 312.5 | 32.5 | 142.5 | 10.0 | 2.5 | 0.0 | 4.79 | 1.16 | 8.78 | 29.10 | 8.70 | 659S | 31.4 |
E | 18.41 | 6.53 | 2.53 | 920.0 | 177.5 | 372.5 | 27.5 | 20.0 | 2.5 | 6.23 | 1.11 | 16.83 | 29.22 | 9.51 | 568Z | 28.0 |
F | 17.75 | 6.28 | 3.19 | 777.5 | 115.0 | 315.0 | 47.5 | 82.5 | 30.0 | 6.10 | 1.06 | 5.61 | 30.36 | 7.67 | 667Z | 18.8 |
G | 15.88 | 5.60 | 2.77 | 415.0 | 50.0 | 202.5 | 20.0 | 42.5 | 17.5 | 6.53 | 1.06 | 5.99 | 28.23 | 8.40 | 573Z | 23.5 |
H | 17.99 | 6.83 | 3.50 | 820.0 | 122.5 | 305.0 | 17.5 | 22.5 | 5.0 | 6.36 | 1.08 | 9.64 | 39.07 | 7.76 | 520Z | 25.8 |
I | 19.00 | 6.51 | 2.87 | 1228.0 | 242.5 | 442.5 | 67.5 | 117.5 | 20.0 | 5.20 | 1.09 | 11.09 | 43.14 | 7.80 | 718Z | 15.8 |
J | 17.12 | 6.19 | 2.70 | 622.5 | 92.5 | 250.0 | 22.5 | 5.0 | 0.0 | 7.40 | 1.12 | 10.08 | 35.64 | 7.66 | 411Z | 35.8 |
K | 17.92 | 5.86 | 2.55 | 875.0 | 177.5 | 377.5 | 45.0 | 320.0 | 50.0 | 5.29 | 1.08 | 12.47 | 41.96 | 8.51 | 755Z | 13.8 |
Characteristics of the yarns tested
Compact | 100% wool | 21.7 | 590 Z | Yes | |
Classic | 100% wool | 25.0 | 620 Z | No | |
Classic | 25% silk, 75% wool | 27.7 | 550 Z | Yes | |
Siro Spun | 100% wool | 31.2 | 650 S | No | |
Classic | 15% polyamide, 85% wool | 27.7 | 580 Z | No | |
Classic | 100% wool | 18.2 | 650 Z | Yes | |
Compact | 100% wool | 27.7 | 560 Z | No | |
Classic | 100% wool | 25.0 | 530 Z | No | |
Classic | 100% wool | 15.6 | 700 Z | No | |
Classic | 100% wool | 35.7 | 420 Z | No | |
Classic | 100% wool | 13.9 | 750 Z | No |
Measurement results of the standard deviation of the woven fabric image brightness
A | 7.07 |
B | 7.56 |
C | 7.61 |
D | 7.82 |
E | 8.08 |
F | 8.08 |
G | 8.09 |
H | 8.31 |
I | 8.42 |
J | 8.81 |
K | 8.98 |
UT5 modules
Temperature and humidity sensor | TH | Measurement of humidity and temperature in the surrounding of the tester |
Foreign matter sensor | FM | Detection of foreign matters in yarn |
Capacitive sensor | CS | Measurement of the yarn irregularity |
Optical multifunctional sensor | OM | Determination of the yarn diameter, roundness, density, and structure |
Optical hairiness sensor | OH | Measurement of yarn hairiness |
MS sensor | MS | Measurement of thick slivers |
Optical impurity sensor | OI | Testing impurities and dust in yarn |
Fineness automatic | FA | Measurement of the yarn purity |
Automatic changer | AT | Automatic transport of yarn from changer to the measurement slot |
Degree of fitting the regression equation to the data
CV | 0.91 | Very good fitting |
CV 1 m | 0.70 | Satisfactory fitting |
CV 10 m | 0.10 | Unsatisfactory fitting |
Thin places −40% | 0.91 | Very good fitting |
Thin places −50% | 0.85 | Good fitting |
Thick places +35% | 0.89 | Good fitting |
Thick places +50% | 0.49 | Unsatisfactory fitting |
Neps +140% | 0.09 | Unsatisfactory fitting |
Neps +200% | 0.05 | Unsatisfactory fitting |
Hairiness | 0.04 | Unsatisfactory fitting |
Index | 0.10 | Unsatisfactory fitting |
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