In order to create realistic loop primitives suitable for the faster CAD of the flat-knitted fabric, we have performed research on the model of the loop as well as the variation of the loop surface. This paper proposes an interlacing point-based model for the loop center curve, and uses the cubic Bezier curve to fit the central curve of the regular loop, elongated loop, transfer loop, and irregular deformed loop. In this way, a general model for the central curve of the deformed loop is obtained. The obtained model is then utilized to perform texture mapping, texture interpolation, and brightness processing, simulating a clearly structured and lifelike deformed loop. The computer program LOOP is developed by using the algorithm. The deformed loop is simulated with different yarns, and the deformed loop is applied to design of a cable stitch, demonstrating feasibility of the proposed algorithm. This paper provides a loop primitive simulation method characterized by lifelikeness, yarn material variability, and deformation flexibility, and facilitates the loop-based fast computer-aided design (CAD) of the knitted fabric.
If the inline PDF is not rendering correctly, you can download the PDF file here.
 Foley J.D. Van Dam A. (1982). Fundamentals of interactive computer graphics. Reading MA: Addison-Wesley.
 Cong H. Ge M. Jiang G. (2009). Three Dimensional simulation of warp-knitted fabric. Fibers &Textiles in Eastern Europe 17(74) 66-69.
 Kurbak A. Ekmen O. (2008). Basic studies for modeling complex weft knitted fabric structures. Part I: A geometrical model for widthwise curling of plain knitted fabrics. Textile Research Journal 78(3) 198-208.
 Li Y. Yang L Chen S. et al. (2014). Three dimensional simulation of weft knitted fabric based on surface model.18(3) 52-57.
 Peirce F.T. (1947). Geometrical principles applicable to the design of functional fabrics [J]. Textile Research Journal 17(3) 123-147.
 Chamberlain J. (1949). Hosiery Yarn and Fabrics II 106-108.
 Leaf G.A.V. (1960). Models of the plain-knitted loop. Journal of the Textile Institute Transactions 51(2) 49-58.
 Munden D.L. (1959). The geometry and dimensional properties of plain-knit fabrics. Journal of the Textile Institute Transactions 50(7) 448-471.
 Kurbak A. Amreeva G. (2006). Creation of a geometrical model for Milano rib fabric. Textile Research Journal 76(11) 847-852.
 Kurbak A. Alpyildiz T. (2008). A geometrical model for the double Lacoste knits.. Textile Research Journal 78(3) 232-247.
 Kurbak A. Soydan A.S. (2009). Geometrical models for balanced rib knitted fabrics. Part III: 2×2 3×3 4×4 and 5×5 rib fabrics.Textile Research Journal 79(7): 618-625.
 Chen Y Lin S Zhong H et al. Realistic rendering and animation of knitwear[J]. Visualization and Computer Graphics IEEE Transactions on 2003 9(1): 43-55.
 Güdükbay U. Bayraktar S. Koca Ç. et al. (2014). Particlebased simulation of the interaction between fluid and knitwear. Signal Image and Video Processing 8(3) 415-422.
 Sarraga R F. (1987). G 1 interpolation of generally unrestricted cubic Bézier curves. Computer Aided Geometric Design 4(1) 23-39.
 Heckbert P S. (1989). Fundamentals of texture mapping and image warping. University of California Berkeley.
 Kobbelt L. Botsch M. (2004). A survey of point-based techniques in computer graphics. Computers & Graphics 28(6) 801-814.
 Tomasi C. Manduchi R. (1998). Bilateral filtering for gray and color images. Sixth International Conference on. IEEE 839-846.