G2- Approximation of Parabolic Arcs

Shakeel, Ayesha; Hussain, Malik Zawwar

doi:10.1109/iv.2017.35

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2019

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Cited by 2 publications

(2 citation statements)

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“…• It is clear from the Table that the maximum absolute error of the proposed G 2 -approximation scheme for parabolic and elliptic arcs is less than that of the prevailing schemes [2,6,8,9,11]. Hence, the proposed approximation scheme of this research paper is more effective than prevailing schemes.…”

Section: Introductionmentioning

confidence: 77%

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Approximation of planar curves

Shakeel¹,

Hussain²

2019

Turk J Elec Eng & Comp Sci

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In the present article, we have developed the G 2-approximation scheme for planar curves arising in science, engineering, computer-aided design, computer-aided manufacturing, and many other fields. The obtained results reveal that the proposed method is a significant addition to the approximation of planar curves. The method is illustrated using different numerical examples. The smaller absolute error confirms the applicability and efficiency of the proposed method.

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Section: Introductionmentioning

confidence: 77%

“…A lot of work has been done in the past few years in this regard. Some noticeable contributions include [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. The existing approximation schemes have focused on the approximation of rational quadratic Bézier curves, which represent conic sections.…”

Section: Introductionmentioning

confidence: 99%