Shape Parameter of Extended Uniform Cubic B-Spline in Designing Three Dimensional Objects

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    In Computer Aided Geometric Design (CAGD), B-spline curves are piecewise polynomial parametric curves that play an important role. CAGD which has been widely used, brings the good impact of computers to industries such as automobile. To meet engineering requirements, Extended Cubic Uniform B-Spline is proposed to be applied in creating new objects. Furthermore, three dimensional objects such as rod, bottle and others can be generated from Extended Cubic Uniform B-Spline curves by using translation technique of sweep surface method. In this research, the three-dimensional objects are formed by transforming Extended Cubic Uniform B-Spline with degree 4 by using translation technique. The advantage of using Extended Cubic Uniform B-Spline is the curve can be modified by changing the value of shape parameter. Various shapes of three dimensional objects can be formed by using different shape parameters. The smoothness of three dimensional objects is analyzed by shape parameter value from  to . The result shows object with and  are smooth.



  • Keywords

    B-spline curve, Extended Cubic B-spline curve, Sweep Surface, Translation

  • References

      [1] Al-Enzi AMJ. (2008). Studying curve interpolator for CNC System Master Thesis, University of Technology.

      [2] Ali MJ (2005). Permukaan sapuan translasi dan putaran lengkung kuartik serupa bezier. Simposium Sains Kebangsaan Matematik ke XIII. pp. 495-499.

      [3] Azernikov S. (2008). Sweeping solids on manifolds. Proceeding of the 2008 ACM Symposium on Solid and Physical Modelling, pp. 249-256.

      [4] Elber G. (1997). Global error bounds and amelioration of sweep surfaces. Computer-Aided Design, 29 (6), 441-447.

      [5] Gang X. & Zhao WG. (2008). Extended cubic uniform b-spline and a -b-spline. Acta Automatica Sinica. 34(8).

      [6] Hamid ANN, Majid AA, & Ismail AI (2010). Extended cubic b-spline interpolation method applied to linear two-point boundary value problems. World Academy of Science, Engineering and Technology, 4(2), 276-278.

      [7] Jung HB & Kim K. (2011). The redefinition of B-spline curve. International Journal of Advanced Manufacturing Technology, 57(1), 265-270.

      [8] Marhl M, Guid N, Oblonsek C, & Horvat M. (1996). Extensions of sweep surface constructions. Comput & Graphics, 20(6), 893-903.

      [9] Pocock L & Rosebush J. (2002). The computer animator’s technical handbook. Morgan Kauffman Publisher, Burlington, USA.

      [10] Salomon D. (2007). Curves and surfaces for computer graphics. Curves and Surfaces for Computer Graphics. Springer Science & Business Media.

      [11] Tai CL & Loe KF (1996). Surface design via deformation of periodically swept surfaces. The Visual Computer, 12(10), 475-483.

      [12] Wang X & Qin J. (2017). Surface editing using sweep surface 3D models. Journal on Image and Video Processing, (57), 1-11.




Article ID: 25695
DOI: 10.14419/ijet.v7i4.42.25695

Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.