- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 69 Issue: 2
- Recognition of complex polynomial Bezier curves under similarity transformations
Recognition of complex polynomial Bezier curves under similarity transformations
Authors : Idris Ören, Muhsin Incesu
Pages : 1377-1388
Doi:10.31801/cfsuasmas.692608
View : 8 | Download : 7
Publication Date : 2020-12-31
Article Type : Research
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 (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