Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

On the control invariants of planar Bezier curves for the groups M(2) and SM(2)

Yazarlar: İs Ören

Cilt 10 , Sayı - , 2018 , Sayfalar 74 - 81

Konular:-

Anahtar Kelimeler:B\'{e}zier curve,Invariant,Euclidean space

Özet: Let G=M(2) be the group generated by all orthogonal transformations and translations of the 2-dimensional Euclidean space E2 or G=SM(2) be the subgroup of M(2) generated by rotations and translations of E2. In this paper, global G-invariants of plane Bezier curves in E2 are introduced. Using complex numbers and the global G-invariants of a plane B curves, for given two plane B curves x(t) and y(t), evident forms of all transformations g\in G, carrying x(t) to y(t), are obtained. Similar results are given for plane polynomial curves.

ATIFLAR
Atıf Yapan Eserler
Henüz Atıf Yapılmamıştır
KAYNAK GÖSTER
BibTex
KOPYALA
@article{2018, title={On the control invariants of planar Bezier curves for the groups M(2) and SM(2)}, volume={10}, publisher={Turkish Journal of Mathematics and Computer Science}, author={İdris Ören}, year={2018}, pages={74–81} }
APA
KOPYALA
İdris Ören. (2018). On the control invariants of planar Bezier curves for the groups M(2) and SM(2) (Vol. 10, pp. 74–81). Vol. 10, pp. 74–81. Turkish Journal of Mathematics and Computer Science.
MLA
KOPYALA
İdris Ören. On the Control Invariants of Planar Bezier Curves for the Groups M(2) and SM(2). Turkish Journal of Mathematics and Computer Science, 2018, pp. 74–81.
Atıf Görüntüle
PDF Görüntüle
Kaynak Görüntüle
Paylaş
Dergi Bilgileri