TY  - JOUR
T1  - Detecting Similarities of Bezier Curves for the Groups $LSim(E_{2}), LSim^{+}( E_{2})$
AU  - Ören, İdris
AU  - İncesu, Muhsin
PY  - 2019
DA  - November
Y2  - 2019
JF  - Conference Proceedings of Science and Technology
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2651-544X
SP  - 129
EP  - 133
VL  - 2
IS  - 2
LA  - en
AB  - In this paper, for linear similarity groups, global invariants of plane Bezier curves ( plane polynomial curves) in $E_{2}$ are introduced. Using complex numbers and the global $G$-invariants of a plane Bezier curve( a plane polynomial curve), for given two plane Bezier curves (plane polynomial curves) $x(t)$ and $y(t)$, evident forms of all transformations $g\in G$, carrying $x(t)$ to $y(t)$, are obtained.
KW  - Polynomial curve
KW  - B\'{e}zier curve
KW  - Invariant
KW  - Linear similarity group
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UR  - https://dergipark.org.tr/tr/pub/cpost/issue//612365
L1  - https://dergipark.org.tr/tr/download/article-file/861565
ER  -