Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data

  title={Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data},
  author={Muhammad Abbas and Ahmad Abd Majid and Jamaludin Md Ali},
We present the smooth and visually pleasant display of 2D data when it is convex, which is contribution towards the improvements over existing methods. This improvement can be used to get the more accurate results. An attempt has been made in order to develop the local convexity-preserving interpolant for convex data using C(2) rational cubic spline. It involves three families of shape parameters in its representation. Data dependent sufficient constraints are imposed on single shape parameter… CONTINUE READING
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and J

  • M. Abbas, A. A. Majid, M.N.H. Awang
  • M. Ali, “Local convexity shape-preserving data…
  • 2012
Highly Influential
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Shape preserving data visualization for curves and surfaces using rational cubic functions [Ph.D

  • M. Abbas
  • 2012
Highly Influential
4 Excerpts

and T

  • M. Z. Hussain, M. Sarfraz
  • S. Shaikh, “Shape preserving rational cubic…
  • 2011
Highly Influential
5 Excerpts

Local convexity shape - preserving data visualization by spline function

  • M. Abbas, A. A. Majid, M. N. H. Awang, J. M. Ali
  • British Journal of Mathematics & Computer Science
  • 2012

Monotonicity - preserving C 2 rational cubic spline formonotone data

  • A. A. Majid, J. M. Ali
  • AppliedMathemat - ics and Computation
  • 2012

and M

  • M. Sarfraz, M. Z. Hussain
  • Hussain, “Shape-preserving curve interpolation…
  • 2012
2 Excerpts

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