The Construction of Polynomial Spiral Segment Using Cubic Ball Basis Functions

  • Abdul Majeed Department of Mathematics, Division of Science and Technology University of Education Lahore, Pakistan.
  • Mohsin Kamran Department of Mathematics, Division of Science and Technology University of Education Lahore, Pakistan.
  • Muhammad Abbas Department of Mathematics, Division of Science and Technology University of Education Lahore, Pakistan.
Keywords: Curvature, Cubic Ball Basis Functions, Polynomial Spiral Segment, Fair Curves

Abstract

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B-splines, Bezier, Ball curves and NURBS (non-uniform rational B-splines) are commonly used in CAD
and CAGD applications. Unfortunately their fairness is not guaranteed. Spiral segments help us in designing
improved form of curves called fair curves. Such fair curves are useful in sophisticated applications such as
design of routes of high ways and railways and mobile robot trajectories. In this paper we have developed the
polynomial cubic Ball spiral segment with degree of freedom. The effect of shape parameters is also observed.
In the end results are represented in graphical form.

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Published
2021-03-30
How to Cite
1.
Abdul Majeed, Kamran M, Abbas M. The Construction of Polynomial Spiral Segment Using Cubic Ball Basis Functions. Sci Inquiry Rev. [Internet]. 2021Mar.30 [cited 2024Oct.18];5(1):72-3. Available from: https://journals.umt.edu.pk/index.php/SIR/article/view/1746
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Orignal Article