TY - GEN
T1 - Weighted G 0-and G 1-multi-degree reduction of Bézier curves
AU - Rababah, Abedallah
AU - Ibrahim, Salisu
N1 - Publisher Copyright:
© 2016 Author(s).
PY - 2016/6/8
Y1 - 2016/6/8
N2 - In this paper, weighted G0-and G1-multi-degree reduction of Bézier curves are considered. The degree reduction of a given Bézier curve of degree n is used to write it as a Bézier curve of degree m, m < n. Exact degree reduction is not possible, and, therefore approximation methods are used. The weight function w[t] = 2t(1 - t), t ϵ [0, 1] is used with the L2 -norm in multi degree reduction with G0- and G1- continuity at the end points of the curve. Numerical results and comparisons show that the new methods suggests smaller approximation errors in the interior of the domain and proves to be competative in applications.
AB - In this paper, weighted G0-and G1-multi-degree reduction of Bézier curves are considered. The degree reduction of a given Bézier curve of degree n is used to write it as a Bézier curve of degree m, m < n. Exact degree reduction is not possible, and, therefore approximation methods are used. The weight function w[t] = 2t(1 - t), t ϵ [0, 1] is used with the L2 -norm in multi degree reduction with G0- and G1- continuity at the end points of the curve. Numerical results and comparisons show that the new methods suggests smaller approximation errors in the interior of the domain and proves to be competative in applications.
KW - Bézier curves
KW - and geometric continuity
KW - multiple degree reduction
UR - http://www.scopus.com/inward/record.url?scp=84984555580&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84984555580&partnerID=8YFLogxK
U2 - 10.1063/1.4951820
DO - 10.1063/1.4951820
M3 - Conference contribution
AN - SCOPUS:84984555580
T3 - AIP Conference Proceedings
BT - International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
A2 - Simos, Theodore E.
A2 - Simos, Theodore E.
A2 - Tsitouras, Charalambos
A2 - Simos, Theodore E.
PB - American Institute of Physics Inc.
T2 - International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
Y2 - 23 September 2015 through 29 September 2015
ER -