Recognition of complex polynomial Bezier curves under similarity transformations

Year 2020, Volume: 69 Issue: 2, 1377 - 1388, 31.12.2020

İdris Ören , Muhsin İncesu

https://doi.org/10.31801/cfsuasmas.692608

Cited By: 1

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

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