Akademik Veri Yönetim Sistemi
19th International Geometry Symposium, Edirne, Türkiye, 27 - 30 Haziran 2022, cilt.1, sa.1, ss.154, (Özet Bildiri)
Polynomial curves are a family of curves that are frequently used
in computer, robotics, design, navigation and many fields [1]. Among
these curves, PH-curves and Bezier curves are very important because
they are used in computer graphics, computer aided graphic design
and related fields. Bezier curves and surfaces were first developed independently
between 1958 and 1960 by French engineer Pierre Etienne
Bezier and French mathematician Paul de Faget De Casteljau with
different mathematical approaches [2],[3]. On the other hand, Farouki
and Sakkalis(1990) defined Pythagorean-hodograph curves and gave
the characterization for planar PH curves [4]. In this study, we consider
these two curves together in Euclidean space, and describe the
characterization of these B´ezier curves in order to be a PH-curve.