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On Investigating the Differential Geometric Properties of the Knitted Fabrics Produced by Some Computer Aided Geometric Design Curves

Hatice Kusak Samancı1 hkusak [at] beu.edu.tr
  1. Science and Art Department, Bitlis Eren University, TURKEY, Bitlis, Ahmet Eren Bulvarı
Abstract 

In order to research the knitted fabric, some specific curves produced by computer aided geometric design are used in our paper, then some diferential geometric results of these curves are calculated and an aplication of this concept is given

Keywords 
CAGD
computer curves
knitted fabric
geometry
References 

[1] Farin, G., Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide, 3rd Edition, Academic Press Inc., San Diego, 1993.
[2] Rogers D.F., and Adams J.A.. Mathematical Elements for Computer Graphics, McGraw-Hill. New York NY. USA., 1976.
[3] Incesu, M. and Gursoy, O., Bezier Eğrilerinde Esas Formlar ve Eğrilikler, XVII Ulusal Matematik  Sempozyumu, Bildiriler, Abant İzzet Baysal Üniversitesi, 146-157, 2004.
[4] Kusak Samanci et all, “The Bishop Frame of Bezier Curves”, Life Science Journal, 2015, 12, 28800-life- 20150601.
[5] Güngör B., Tekstil Mekaniğinin Temelleri, Dokuz Eylül Ün. Müh. Basım Ün., 2008.
[6] Goktepe O., Use of Non-Uniform Rational B-Splines for Three-Dimensional Computer Simulation of Warp Knitted Structures, Turk J Engin Environ Sci, 369-378, 2001.
[7] Kurbak, A. "Geometrical models for balanced rib knitted fabrics part I: conventionally Knitted 1×1 rib fabrics." Textile Research Journal 79.5 (2009): 418-435.
[8] Zheng T., Wei J., et all. An Overview of Modelling Yarn’s 3D Geometric Configuration, Journal of Textile and Technology, 2015,1,12-24.