Cilt:69 Sayı:02 (2020)

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Recognition of complex polynomial Bezier curves under similarity transformations
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Ören, İdris; İncesu, Muhsin; Other; Other
In this paper, similarity groups in the complex plane C, polynomial curves and complex Bezier curves in C are introduced. Global similarity invariants of polynomial curves and complex Bezier curves in C are given in terms of complex functions. The problem of similarity of two polynomial curves in C are solved. Moreover, in case two polynomial curve (complex Bezier curve) are similar for the similarity group, a general form of all similarity transformations, carrying one curve into the other curve, are obtained.