Recognition of complex polynomial Bezier curves under similarity transformations

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:2
Recognition of complex polynomial Bezier curves under similarity transformations

Recognition of complex polynomial Bezier curves under similarity transformations

Authors : İdris ÖREN, Muhsin İNCESU

Pages : 1377-1388

Doi:10.31801/cfsuasmas.692608

View : 14 | Download : 9

Publication Date : 2020-12-31

Article Type : Research Paper

Abstract :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 insert ignore into journalissuearticles values(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.
Keywords : Bezier curve, Invariant, similarity

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