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Research Article | Open Access |

Quartic approximation of circular arcs using equioscillating error function

Author 1: Abedallah Rababah
International Journal of Advanced Computer Science and Applications (IJACSA) · Vol. 7, No. 7 · Published 2016 · Cited by 6

DOI: https://doi.org/10.14569/IJACSA.2016.070780

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Abstract

A high accuracy quartic approximation for circular arc is given in this article. The approximation is constructed so that the error function is of degree 8 with the least deviation from the x-axis; the error function equioscillates 9 times; the approximation order is 8. The numerical examples demonstrate the efficiency and simplicity of the approximation method as well as satisfying the properties of the approximation method and yielding the highest possible accuracy.

Keywords

Bezier curves quartic approximation circular arc high accuracy approximation order equioscillation CAD

How to Cite this Article

Rababah, A. (2016). Quartic approximation of circular arcs using equioscillating error function. International Journal of Advanced Computer Science and Applications, 7(7). https://doi.org/10.14569/IJACSA.2016.070780

Rababah, Abedallah. "Quartic approximation of circular arcs using equioscillating error function." International Journal of Advanced Computer Science and Applications, vol. 7, no. 7, 2016, https://doi.org/10.14569/IJACSA.2016.070780.

@article{Rababah2016,
  title     = {Quartic approximation of circular arcs using equioscillating error function},
  journal   = {International Journal of Advanced Computer Science and Applications},
  volume    = {7},
  number    = {7},
  year      = {2016},
  publisher = {The Science and Information Organization},
  author    = {Abedallah Rababah},
  doi       = {10.14569/IJACSA.2016.070780},
  url       = {https://doi.org/10.14569/IJACSA.2016.070780}
}

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