Spiral Batik with Rational Bezier Curve

  • Authors

    • Noor Khairiah Razali
    • Siti Musliha Nor-Al-Din
    • Nursyazni Mohamad Sukri
    • Muhammad Izhar Ishak
    • Normi Abdul Hadi
    2018-12-29
    https://doi.org/10.14419/ijet.v7i4.42.25705
  • Spiral Batik, Rational, Quadratic, Cubic, Bezier curve
  • Abstract

    Spiral is one of the commercial designs that is used in designing Batik patterns. There are many types of spiral motifs that can be designed for beautiful batik patterns. In this paper, one of the spiral shapes was chosen as a reference figure to regenerate using quadratic and cubic rational Bezier curves. This curve is well known as areas of research in Computer Aided and Geometric Design (CAGD). This paper deals with generating the spiral batik design and manipulation of weight magnitude to regenerate the design that is closer to the reference figure and produce new and variety designs by manipulating the value of weight in the curve. From the result, it shows that the cubic curve generated the spiral batik design was closer to the reference figure and produced more designs of the spiral Batik compared to the quadratic curve. The result also shows that quadratic Bezier curve is suitable to be used in generating the design since it involves simple and less cost method by manipulating a variable which is the weight in the curve. Lastly the result shows.  Conclusively, this method improves the batik industry by using CAGD in designing the motif.

     

     

  • References

    1. [1] Ahn YJ & Kim HO. (1998). Curvatures of the quadratic rational bezier curves, Computers and Mathematics with Applications, 36(9), 71–83.

      [2] Bertka BT (2008). An introduction to bezier curves, b-splines, and tensor product surfaces with history and applications. History, 1–13.

      [3] Bonneau G, Variational GB, Bezier R, & Graphics S. (2014). Variational design of rational bezier curves and surfaces variational design of rational bezier curves and surfaces. Graphics, 1-87.

      [4] Finn DL. (2004). MA 323 geometric modelling course notes: Day 09 quintic hermite interpolation, Geometric Modelling Course Notes, 1–8.

      [5] Salomon D. (2007). Curves and surfaces for computer graphics. Springer Science & Business Media.

      [6] Sederberg TW. (2014). Computer aided geometric design course notes. doi: 10.1016/j.cagd.2009.04.001

      [7] Sederberg TW & Byu. (2016). The equation of a bézier curve. Computer Aided Geometric Design Course Notes. doi: 10.1016/j.cagd.2009.04.001

      [8] Bogacki P, Weinstein SE, & Xu Y (1994). Degree reduction of bezier curves by uniform approximation with endpoint interpolation. Computer-Aided Design, 27(9), 651-661.

      [9] Fijasri NF, Yahaya SF, & Jamaludin (2006). Bezier-like quartic curve with shape control. School of Mathematical Sciences, Universiti Sains Malaysia.

      [10] Mieur Y, Linchah T, Castelian JM, & Giaume H. (1998). A shape controlled fitting method for Bezier curve. Computer Aided Geometric Design, 15(9), 879-891.

      [11] Park Y & Lee N. (2005). Application of degree reduction of polynomial bezier curve to rational case. J. Appl. Math. & Computing, 18(1-2), 159-169.

      [12] Riskus A. (2006). Approximation of A cubic bezier curve by circular arcs and vice versa. Information Technology and Control, 35(4), 371-378.

      [13] Huang Y, Su H, & Lin H. (2008). A simple method for approximation rational bezier curve using bezier curve, Computer Aided Geometric Design, 25(8), 697-699.

      [14] Vishnevskey V, Kalmykov V, & Romanenko T. (2008). Approximation of experimental data by bezier curve. International Journal of Information Theories and Applications, 15, 235-239.

      [15] Mohammad NMB. (2012). Design and development of semi auto canting tool: Body design and mechanism, (Doctorial dissertation, University Malaysia Pahang).

      [16] Li Y. (2009). Innovative batik design with an interactive evolutionary art system, Journal of Computer Science and Technology, 24(6), 1035–1047.

      [17] Hanipah H, Kalthom H, Asiah P, Hazmilah H, Cheong KM, Yaacob NM (2016). Innovation of malaysia batik craft in arts: A reflection for vacational education. The Social Sciences, 11(12), 2983-2986.

  • Downloads

  • How to Cite

    Khairiah Razali, N., Musliha Nor-Al-Din, S., Mohamad Sukri, N., Izhar Ishak, M., & Abdul Hadi, N. (2018). Spiral Batik with Rational Bezier Curve. International Journal of Engineering & Technology, 7(4.42), 172-176. https://doi.org/10.14419/ijet.v7i4.42.25705

    Received date: 2019-01-11

    Accepted date: 2019-01-11

    Published date: 2018-12-29