The bezier curves in projective plane

As a method of obtaining a projective plane, it is a method of obtaining the closure of an affine plane by adding points at infinity called ideal points to a given affine plane. Accordingly, a point at infinity corresponds to each line. In this thesis, Bezier curves to be defined in a set taken as the closure of an affine plane are examined, and the counterparts of these curves in the real projective plane are emphasized. Here, frequently used linear and quadratic Bezier curves are considered.