XML Template (2014) [7.4.2014–11:55am] //blrnas3/cenpro/ApplicationFiles/Journals/SAGE/3B2/TRJJ/Vol00000/140029/APPFile/SG-TRJJ140029.3d (TRJ) [1–9] [PREPRINTER stage] Original article Patterning technique for expanding color variety of Jacquard fabrics in alignment with shaded weave structures Textile Research Journal 0(00) 1–9 ! The Author(s) 2014 Reprints and permissions: sagepub.co.uk/journalsPermissions.nav DOI: 10.1177/0040517514527377 trj.sagepub.com Frankie Ng1, Ken Ri Kim1, Jinlian Hu1 and Jiu Zhou2 Abstract This study aimed to enhance the capability of multiple weave color reproduction for Jacquard textiles. Today, the subtractive color mixing of CMYK color system is being widely used for rendering weave patterns and assorting filling yarn colors. However, as Jacquard color creation involves optical color mixing, the direct application of pigment mixing is limited to corresponding to an artwork that involves red, green, blue and saturated solid black. Since Jacquard colors are realized by opaque and non-blended material of yarns, it requires a different approach of light and pigment mixing to simulate colors of an original image in woven forms. Therefore, in this study, the optimization of weave color reproduction was approached to properly embrace the proposed color gamut of the CMYK model in digital Jacquard textiles. Based on the ink densities of the CMYK color scope, segmentation was applied in reflection of optical thread color mixing to attain optimal weave patterns. A pair of primary color layers was merged by defining a set of rules to classify individual primary and secondary color patterns to designate colored threads in associated regions, and weave structures were designed and aligned to generate varied levels of color shades in weaving form. The correlation between shaded weave structures and the primary color-based weave patterns were matched to present a faithful color reproduction in weaving. Keywords Jacquard color patterning, region-based segmentation, extra weft figuring method, shaded weaves, gradual color deviation Jacquard fabric is produced by interlacing a minimum of two sets of yarn, that is, the warp and the weft, at right angles to each other.1 It has been developed with delicate skills and costly labor and materials for decorative purposes. A diversity of structure formations and color managements has been proposed for producing numerous textures and color effects. Today, digital technologies that have been widely employed in both Jacquard image design and production greatly enhance production efficiency, while electronic weaving machines, which are arranged with one end of ground and several extra fillings, are utilized for continuous styles. The decline of ornamental Jacquard figuring lies in the fact that the harness needs frequent re-trials or modifications for each design, the process of which is often costly and time-consuming.2 The restriction on yarn supply is considered a technical difficulty to reproduce multi-colored images in Jacquard textiles. However, with the help of computer-aided design (CAD) software, a number of applications have been proposed to improve the current situation. The method using the subtractive CMYK system succeeded in expanding the gamut of weave color with cyan, magenta, yellow and black filling yarns.3,4 As the warp is fixed to a white ground, colors used in the original artwork are simulated by filling yarns. Corresponding structures are originated from traditional shaded weaves but are reinvented to present continuous color variations in weaving forms. Compounding the shaded structures in layers is the key principle to achieve seamless color gradation 1 The Hong Kong Polytechnic University, Institute of Textiles & Clothing, The Hong Kong Polytechnic University Kowloon, Hong Kong 2 Zhejiang Sci-Tech University, Xiasha, China Corresponding author: Frankie Ng, The Hong Kong Polytechnic University, Institute of Textiles & Clothing, The Hong Kong Polytechnic University Kowloon, Hong Kong. Email: [email protected] Downloaded from trj.sagepub.com at PENNSYLVANIA STATE UNIV on May 11, 2016 XML Template (2014) [7.4.2014–11:55am] //blrnas3/cenpro/ApplicationFiles/Journals/SAGE/3B2/TRJJ/Vol00000/140029/APPFile/SG-TRJJ140029.3d (TRJ) [1–9] [PREPRINTER stage] 2 Textile Research Journal 0(00) effect.3–5 However, as weave patterns are directly borrowed from the auto-separated CMYK system, the reproduced colors are restricted to red, green, blue and saturated black. Although the primary colors of CMYK and RGB are different, these two groups enjoy a reciprocal relationship when their respective secondary colors are also included. They cover a considerable scope of displayed colors; yet, neither of them can generate an exact primary scope of the other.6 In order to expand the creative scope of Jacquard designs, the two primary sets are required to be properly maintained to optimize the conditions for weave color reproduction. Based on the concept above, this research further optimized rendering weave patterns in association of CMYK morphology whereby the CMYK color patterns were partitioned into CMYKRGB patterns. The principle of shaded weave structures was employed to generate numerous levels of color shades in reproduction. The proposed design process in both color patterning and weave structure is shown in Figure 1. Applied theory of color patterning for woven Jacquard textiles The L*a*b* model describes the physical characterizes of a color and helps eliminate the confusion created by different reproduction characteristics. However, with specific output devices being considered, Jacquard textiles require a color model or system applicable to reproduction of targeted artworks. Meanwhile, the RGB color space is widely used to define the structure of output colors and cover a considerable range of displayed colors.7 Nevertheless, the additive theory and the system of Jacquard fabrication are not applicable, as colors are created by varied intensities of light mixing. In a previous study, the CMYK system of primary sets and the auto-computed primary color layers were directly applied to Jacquard fabrication.3,4 Yet, modification in weave patterns is required to improve color simulation in weaving forms. Computed CMY layers are generally rendered on a subtractive onecolor array of red, green and blue lights, as presented in Equation (1).8 By mixing a pair of CMY primaries, secondary colors are theoretically created, (cyan + magenta ¼ blue, cyan + yellow ¼ green, magenta + yellow ¼ red) and black is generated when all CMY primaries are mixed:9 2 3 2 3 2 3 C 1 R 4M5 ¼ 415 4G5 ð1Þ8 Y 1 B When separated into CMYK color layers, secondary color regions are presented in lower gray values than single primaries as two-color arrays are filtered and placed together. In addition, CMY layers enclose with implicit values to produce different tones of black when the three colorants are combined. For example, the original image in Figure 2 is designed with cyan, magenta, yellow, black, red, green and blue and shows the aforementioned features of CMYK morphology. CMYK colors are ‘process-colors’ of which a range of printable colors in varying percentages of ink with levels of transparency are reproduced. Regions shared by more than two colorants are designated second or third color generation when they are overlapped and mixed in subtractive processes.7 On the hand, as opaque threads have no transparency and cannot be blended, weave colors are produced by exhibiting thread colors on the surface. When small particles of yarn colors are observed, the color mixing effect is created. As a result, when the primary layers of the subtractive color scheme are directly applied to Jacquard fabrication, inappropriate color reproduction resulted due to the difference between pigment and optical color mixing. In pigment mixing, although CMY colorants are assigned to the creation of black, they are overlapped and produce rich tones of blacks; however, in the optical thread mixture, the CMY colors of threads solidify and coexist with black threads. Furthermore, secondary colors are emulated by juxtaposing coupled primary colored threads but, without transparency in yarn material, it is limited to adopt the pigment mixing principle in Jacquard color creation for secondary color generation. In addition, as the regions with two-color arrays in precarious color variation are considered insufficient to produce projected colors in weaving forms, color blocking lines distinctly appear on the borders where colors are changing to another. For that Figure 1. Jacquard design and fabrication process for colored images. Downloaded from trj.sagepub.com at PENNSYLVANIA STATE UNIV on May 11, 2016 XML Template (2014) [7.4.2014–11:55am] //blrnas3/cenpro/ApplicationFiles/Journals/SAGE/3B2/TRJJ/Vol00000/140029/APPFile/SG-TRJJ140029.3d (TRJ) [1–9] [PREPRINTER stage] Ng et al. 3 reason, the enhancement for reproducing weave colors was proposed in partitioning the four primary layers into C, M, Y, K, R, G and B color pattern to improve the flaws of CMYK color scheme. By employing the CMYK color system in which (1) secondary color areas of the system appear in lower grayscales, (2) a self-governed black layer exists and (3) an empty set of all colors signifies white areas, it is possible to apply region-based segmentation to subdivide a multicolored artwork into assigned color regions. CMYs is combined, the relevant area is solely discovered. Yet, as they also contain values of black, the subtraction process is applied lastly. The removal process is presented in Equation (3), where Rp , Gp and Bp are the final color patterns of red, green and blue for weave structure inputs, whereas Cg , Mg , Yg and Kg are the layers obtained by computed separation. Figure 3 presents each pattern modification in detail: 2 3 2 Rp Mg 4 Gp 5 ¼ 4 Cg Bp Cg Region-based segmentaion to partition CMYK into CMYKRGB color patterns Region-based segmentation seeks to create regions directly by grouping together pixels that share common features into areas or regions of uniformity. This approach of the process is considered similar to image regions having a common criterion for creation.10 Based on CMYK topographies, region-based segmentation was applied with mathematical morphology to cluster independent C, M, Y, K, R, G and B patterns and aims to supply an associated color of the yarn to accurate areas to improve the insufficient CMYK color scheme in optical color mixing of Jacquard color creation. Equation (2)11 is defined when two grayscale layers are merged (1) to attain average grayscale values between the upper and low layer to maintain a constant outcome of the gray level throughout merging processes, (2) to cluster individual patterns of red, green and blue, (3) to eliminate supplemental color values from each color pattern, (4) to produce continuous tones of grays without truncation and (5) to subdivide a whole image into integral regions. Where Ug is the upper layer of the gray value, Lg is the lower layer, the component grays range from zero to one: f Ug , Lg ¼ 1 1 Ug 1 Lg ð2Þ \ \ \ 3 2 1 Yg Yg 5 4 1 1 Mg 3 Kg Kg 5 Kg ð3Þ Patterning of cyan, magenta and yellow As the filtered CMY layers have values of secondary colors and black, the grayscale clarification gradually proceeds. The grays of secondary values are first removed while the black values are uninvolved during the merging. The elimination is defined as Equation (4) when CMY patterns with their own inherent values are obtained where Cp , Mp and Yp are the final patterns for structure inputs and Rp , Gp and Bp are the layers attained by region-based modification of the original CMY. Figure 4 shows the details of the CMY pattern modification: 3 2 3 2 Cg 1 Cp 6M 7 6M 7 61 4 p5 ¼ 4 g54 2 Yp Yg 1 2 3 1 Kg 6 7 4 1 Kg 5 1 Kg 3 1 Gp 7 6 Rp 7 5 4 1 Bp 5 Gg 1 Rp Bp 3 2 ð4Þ Structural weave design Patterning of red, green and blue Generation of varied lightness in weaving by shaded weave structure design The common sharing of a pair of CMY primaries designates the areas of red, green and blue. Once a pair of Shaded weaves enabled reception of different degrees of lightness and shades in a gradual manner and therefore Figure 2. An example of a colored image and its primary layers achieved by auto-separation. Downloaded from trj.sagepub.com at PENNSYLVANIA STATE UNIV on May 11, 2016 XML Template (2014) [7.4.2014–11:55am] //blrnas3/cenpro/ApplicationFiles/Journals/SAGE/3B2/TRJJ/Vol00000/140029/APPFile/SG-TRJJ140029.3d (TRJ) [1–9] [PREPRINTER stage] 4 Textile Research Journal 0(00) Figure 3. The rendering process of red, green and blue color patterns. Figure 4. The rendering process of cyan, magenta and yellow color patterns. enabled presentation of created forms of motif in natural colors.12 Selection of a weave repeat was a decisive factor. It was possible to develop plain and twill weaves into shaded weaves, although satin and sateen structures were preferred for producing a maximum degree of luster on the surface without distinguished weave features. The length of thread floats was closely related to the weave color saturation. Longer floats give better saturation due to fabric firmness, with the ideal ranges of weave repeats recommended to be within 40 40.5 Downloaded from trj.sagepub.com at PENNSYLVANIA STATE UNIV on May 11, 2016 XML Template (2014) [7.4.2014–11:55am] //blrnas3/cenpro/ApplicationFiles/Journals/SAGE/3B2/TRJJ/Vol00000/140029/APPFile/SG-TRJJ140029.3d (TRJ) [1–9] [PREPRINTER stage] Ng et al. 5 Figure 5. Creation of shaded weaves with different enhancing points. The same weave repeat was given in both ends and picks and began with at least one interlacing point in each line of a structure. Sub-multiple numbers of a weave repeat were accumulated for enhancing interlacements each time. Once a definite number of interweaving points were added, the transformed shape of a shaded structure generated different levels of lightness in weaving forms.13 Figure 5 shows examples of conceivable shaded weaves in a 16 16 form with sub-multiple numbers, and Table 1 shows details of each circumstance, where E is the number of enhancing interlacements each time and WR is the respective weave repeat. The enhancing points are found by regular step movement in a vertical direction and this motion continued until the weave space reached the minimum weaving point in each weave repeat. Although the number of achievable weave varieties depended on the selection of the sub-multiples, the series of shaded weave designed with a small number of increases was preferred. This is because the weave structures altered gradually in-between, thereby making possible presentation of a smooth color deviation. In addition, the attainable weave variety was estimated by the Equation (5). As total interlacements of a weave repeat (WR2) were first occupied by an initial stitching point in each weave line (WR2 WR), the total number of weave derivatives (T) was estimated based on the given value of an enhancing number (E) as well as minimum stitching points {(WR E) 1}, which were subsequently left in an individual pick line through interlacement accumulations: T ¼ WR2 WR E fðWR EÞ 1g ð5Þ Compounding shaded weaves by the extra weft figuring method The extra weft figuring method was designed to emulate colors of an original image by juxtaposing a group of filling yarns. The direction of enhancing interlacements was important in distributing interweaving points Table 1. Examples of 16 16 shaded weave design 16 16 shaded weaves (a) (b) (c) (d) (e) Enhancing points Vertical step movement Achievable shaded weave varieties 16 1 15 8 2 29 4 4 57 2 8 113 1 16 225 evenly throughout the forms of compounded shaded weaves. The method of increasing interlacement transition was associated with maintaining structural balance and also generating faithful color reproduction. These directions were proposed in three different ways, namely horizontal, vertical and diagonal, as shown in Figure 6. Different thread color effects were achieved by employing direction of transitions. Horizontal transitions (a) were preferable for both thread color exhibition and structural balance. The vertical (b) and diagonal (c) transitions, as shown in Figure 6, had inconsistent connections in both fillings and ends, and therefore short lengths of thread floats were generated. In this manner, unsatisfied color exhibition of wefts and irregular movements of warps were expected. In contrast, horizontal transition provided constant connections in filling floats. Moreover, the warp movement, either to be shifted or lowered, was designed to be bound in a group; thus, the ends moved regularly, and longer floats of fillings appeared through the structure arrangement.5 The structures were received in the same starting point and horizontal transition directions; the thread floats of two combined structures were assembled in patches. Figure 7 illustrates the two compound weave structures. When the first and second weaves took the same horizontal direction and starting point (d), the compound structure exhibited interlacements in an accumulated way. The circumstances led to cramming of the filling yarns with the resulted streaks broken when high density was applied. In contrast, compound structure (e) built with an opposite start and transition Downloaded from trj.sagepub.com at PENNSYLVANIA STATE UNIV on May 11, 2016 XML Template (2014) [7.4.2014–11:55am] //blrnas3/cenpro/ApplicationFiles/Journals/SAGE/3B2/TRJJ/Vol00000/140029/APPFile/SG-TRJJ140029.3d (TRJ) [1–9] [PREPRINTER stage] 6 Textile Research Journal 0(00) Figure 6. Three transitions for enhancing interlacement. Figure 7. Comparison of two horizontal transitions in compound shaded structures. distributes interlacements spatially. Besides, when the two compounded structures received an identical step movement, the warp motion might become disturbed. As Figure 8 illustrates, if the different step movements (g) were applied in a set, ends were regularly exhibited between the two fillings. Yet, the weave (f), compounded with the same step number, obtained erratic movements of ends. Therefore, in reflection of the optimal condition, that is, starting point, step movement and transition direction in compound weave structures, two groups of shaded weave structures were designed for weave color reproduction. Each series of weave groups was alternately provided in structure layouts to achieve an even color appearance of filling yarns. Experiment and results In this study, the design image, previously presented in color pattern segmentation, was used to prove the improvement of weave color reproduction in an application and then experimented with a multi-colored image to broaden design concepts for Jacquard fabrication. In order to make a comparative analysis, physical samples were produced for the CMYK and CMYKRGB color schemes. Based on the gray values of the individual weave patterns, the two sets of shaded structures were alternately applied. Table 2 shows the technical specifications of the experiment. The same 16 16 shaded weave structures were used in the sample production of both color schemes. Differences were found in the composition of weave patterns and the assortment of filling yarns. Figure 9 shows the first image (A1) of the color reproduction and the limitations of having the computed CMYK color layers (A2) as a weave pattern for multiple weave color creation. The presence of unnecessary C, M and Y floats was unavoidable in the black regions, as the subtractive color mixing principle (i.e., [C] + [M] + [Y] ¼ [K]) was applied to non-blended Downloaded from trj.sagepub.com at PENNSYLVANIA STATE UNIV on May 11, 2016 XML Template (2014) [7.4.2014–11:55am] //blrnas3/cenpro/ApplicationFiles/Journals/SAGE/3B2/TRJJ/Vol00000/140029/APPFile/SG-TRJJ140029.3d (TRJ) [1–9] [PREPRINTER stage] Ng et al. 7 Figure 8. Step movements in compound shaded structures. Table 2. Experiment of weaving specification Weaving parameters Composition Material Thread color Yarn count 4 color filling density 7 color filling density Jacquard machine Pattern/structure Design Pattern repeat (A1) Pattern repeat (B1) Weave repeat Shaded weave verities Software applied Warp Weft 100% polyester Off-white 100 denier 120 threads/inch 120 threads/inch Stäubli JC6 100% polyester Cyan/magenta/yellow/black Red/green/blue 50 denier 66 threads/inch 56 threads/inch 25.4 cm (width) 25.4 cm (width) 16 16 57 Photoshop CS/Arhne CAD 23.75 cm (height) 45.36 cm (height) yarn material. In addition, the absence of red, green and blue was verified as there was no transparency and light transmission in pre-dyed colorant threads. The proficiency of continuous tones was crucial, but the CMYK scheme was insufficient to achieve the finest color display on the surface. Conversely, in the case of the CMYKRGB color production (A3), the two sets of primary colors were placed in the regions where they were associated and the unwanted CMY thread floats in the black areas were minimized. The natural gradation of color generation was achieved according to the original image and the fillings were occupied in conformity with the color patterns. The improvement achieved by color pattern adaptation was prominent compared with the CMYK color scheme (A2). Based on the results, a further experiment was conducted to inspect the practicality of the invention on various designs. As a spectrum had two primary sets and presented the colors in progressive chromatic variations, an image (B1) was designed for colors difficult for red, green and blue ranges to reproduce. Figure 10 illustrates the result of the experiments. Compared with (B3), the CMYK system (B2) was found to be deficient to reproduce the inherence of the secondary colors by superimposing coupled non-transparent primary colors of yarns. Yet, (B3) was closer to the original image. In subtractive mixing, red, green and blue color were realized by pairwise primary color mixing with levels of transparency in inks (i.e., [C] + [M] ¼ [B], [M] + [Y] ¼ [R] and [C] + [Y] ¼ [G]). However, in the optical thread color mixture, since the color mixing effect was created based on the light reflection of the cloth surface, it was difficult to simulate the color ranges that were realized through light transmission in a material substance. Therefore, associated precolored yarns were supplied and fulfilled the defined Downloaded from trj.sagepub.com at PENNSYLVANIA STATE UNIV on May 11, 2016 XML Template (2014) [7.4.2014–11:55am] //blrnas3/cenpro/ApplicationFiles/Journals/SAGE/3B2/TRJJ/Vol00000/140029/APPFile/SG-TRJJ140029.3d (TRJ) [1–9] [PREPRINTER stage] 8 Textile Research Journal 0(00) Figure 9. Fabrication of CMYK (A2) and CMYKRGB (A3) in A1 design. Figure 10. Spectrum of color reproductions in CMYKRGB (B2) and CMYK (B3). regions with a proper amount of thread color exhibition and the improvement of weave color reproduction was attempted and applied. crucial reference for the fabrication of multi-colored images. Funding Conclusion Juxtaposing non-transparent threads adopted a different approach to color scheming in terms of light and pigment mixing. For optical thread color mixing, shaded weave structures were employed to create natural colors and color patterns were designed to place C, M, Y, K, R, G and B colors in layers to optimize weave color reproduction. Color patterns and weave structures were required to align with each other for mutual correspondence. A variety of concepts have been proposed for Jacquard fabrication, and applications vary from one situation to another. Yet as this study aimed to improve designs composed of two groups of crucial primaries in varied degrees of lightness, the proposed application serves as a piece of This work was supported by the General Research Fund of the University Grants Council and The Hong Kong Polytechnic University. References 1. Robinson ATC and Marks R. Woven cloth construction. Textile Institute: Manchester, 1973, p.24. 2. Watson W and Grosicki Z. Watson’s advanced textile design: compound woven structures, 4th edn. NewnesButterworths: London/Boston: MA, 1977, pp.13–25. 3. 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