Acknowledgement
This study was supported by research funds from Chosun University, 2021.
References
- Y. J. Ahn, Circle approximation by G2 Bezier curves of degree n with 2n - 1 extreme points, J. Comput. Appl. Math. 358 (2019), 20-28. https://doi.org/10.1016/j.cam.2019.02.037
- Y. J. Ahn and H. O. Kim, Approximation of circular arcs by Bezier curves, J. Comput. Appl. Math. 81 (1997), no. 1, 145-163. https://doi.org/10.1016/S0377-0427(97)00037-X
- C. de Boor, K. Hollig, and M. Sabin, High accuracy geometric Hermite interpolation, Comput. Aided Geom. Design 4 (1987), no. 4, 269-278. https://doi.org/10.1016/0167-8396(87)90002-1
- T. Dokken, M. Daehlen, T. Lyche, and K. Morken, Good approximation of circles by curvature-continuous Bezier curves, Comput. Aided Geom. Design 7 (1990), no. 1-4, 33-41. https://doi.org/10.1016/0167-8396(90)90019-N
- L. Fang, Circular arc approximation by quintic polynomial curves, Comput. Aided Geom. Design 15 (1998), no. 8, 843-861. https://doi.org/10.1016/S0167-8396(98)00019-3
- M. S. Floater, An O(h2n) Hermite approximation for conic sections, Comput. Aided Geom. Design 14 (1997), no. 2, 135-151. https://doi.org/10.1016/S0167-8396(96)00025-8
- M. Goldapp, Approximation of circular arcs by cubic polynomials, Comput. Aided Geom. Design 8 (1991), no. 3, 227-238. https://doi.org/10.1016/0167-8396(91)90007-X
- S. Hur and T. Kim, The best G1 cubic and G2 quartic Bezier approximations of circular arcs, J. Comput. Appl. Math. 236 (2011), no. 6, 1183-1192. https://doi.org/10.1016/j.cam.2011.08.002
- G. Jaklic, Uniform approximation of a circle by a parametric polynomial curve, Comput. Aided Geom. Design 41 (2016), 36-46. https://doi.org/10.1016/j.cagd.2015.10.004
- G. Jaklic and J. Kozak, On parametric polynomial circle approximation, Numer. Algorithms 77 (2018), no. 2, 433-450. https://doi.org/10.1007/s11075-017-0322-0
- G. Jaklic, J. Kozak, M. Krajnc, V. Vitrih, and E. Zagar, High-order parametric polynomial approximation of conic sections, Constr. Approx. 38 (2013), no. 1, 1-18. https://doi.org/10.1007/s00365-013-9189-z
- S. H. Kim and Y. J. Ahn, Approximation of circular arcs by quartic Bezier curves, Comput.-Aided Design 39 (2007), no. 6, 490-493. https://doi.org/10.1016/j.cad.2007.01.004
- B. Kovac and E. Zagar, Some new G1 quartic parametric approximants of circular arcs, Appl. Math. Comput. 239 (2014), 254-264. https://doi.org/10.1016/j.amc.2014.04.
- B.-G. Lee, Y. Park, and J. Yoo, Application of Legendre-Bernstein basis transformations to degree elevation and degree reduction, Comput. Aided Geom. Design 19 (2002), no. 9, 709-718. https://doi.org/10.1016/S0167-8396(02)00164-4
- Z. Liu, J. Tan, X. Chen, and L. Zhang, An approximation method to circular arcs, Appl. Math. Comput. 219 (2012), no. 3, 1306-1311. https://doi.org/10.1016/j.amc.2012.07.038
- K. Morken, Best approximation of circle segments by quadratic B'ezier curves, in Curves and surfaces (Chamonix-Mont-Blanc, 1990), 331-336, Academic Press, Boston, MA, 1991. https://doi.org/10.1016/B978-0-12-438660-0.50052-2
- M. Sabin, Subdivision surfaces, in Handbook of computer aided geometric design, 309-325, North-Holland, Amsterdam, 2002. https://doi.org/10.1016/B978-044451104-1/50013-7
- A. Vavpetic and E. Zagar, A general framework for the optimal approximation of circular arcs by parametric polynomial curves, J. Comput. Appl. Math. 345 (2019), 146-158. https://doi.org/10.1016/j.cam.2018.06.020
- A. Vavpetic and E. Zagar, On optimal polynomial geometric interpolation of circular arcs according to the Hausdorff distance, J. Comput. Appl. Math. 392 (2021), Paper No. 113491, 14 pp. https://doi.org/10.1016/j.cam.2021.113491