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Abedallah Rababah
Jordan University of Science and Technology
Computer Science & IT Electrical & Electronics Engineering

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The best sextic approximation of hyperbola with order twelve Abedallah Rababah; Esra’a Rababah
International Journal of Electrical and Computer Engineering (IJECE) Vol 10, No 2: April 2020
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (181.196 KB) | DOI: 10.11591/ijece.v10i2.pp2192-2199

Abstract

In this article, the best uniform approximation for the hyperbola of degree 6 that has approximation order 12 is found. The associated error function vanishes 12 times and equioscillates 13 times. For an arc of the hyperbola, the error is bounded by 2:4 x 10-4. We explain the details of the derivation and show how to apply the method. The method is simple and this encourages and motivates people working in CG and CAD to apply it in their works.
Approximating offset Curves using Bezier curves with high accuracy Abedallah Rababah; Moath Jaradat
International Journal of Electrical and Computer Engineering (IJECE) Vol 10, No 2: April 2020
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (126.532 KB) | DOI: 10.11591/ijece.v10i2.pp1648-1654

Abstract

In this paper, a new method for the approximation of offset curves is presented using the idea of the parallel derivative curves. The best uniform approximation of degree 3 with order 6 is used to construct a method to find the approximation of the offset curves for Bezier curves. The proposed method is based on the best uniform approximation, and therefore; the proposed method for constructing the offset curves induces better outcomes than the existing methods.
Co-Authors Esra’a Rababah Moath Jaradat