Because Bezier curves may be tranformed by tranforming the control points, this allows us to translate, rotate, re ect, and scale by doing these things to the control points.

It is a linear combination of basis polynomials.

A Bezier curve approximates the shape described by the control points, but the Bezier curve does not interpolate all the control points. The height of the curve can be adjusted by changing the height of …

Bezier and Spline Curves and Surfaces Ed Angel Professor of Computer Science, Electrical and Computer Engineering, and Media Arts University of New Mexico

́EZIER CURVES MATIAS RELYEA Abstract. In this paper we will define the B ́ezier curve and in. roduce sev-eral interesting properties. We will also introduce the Bernstein polynomial and Bernstein basis …

A Bezier Curve is a 2-D Curve Approximation. The curve passes through first and last points and follows the trend of the others;it does not necessarily cross through all of the points in the data set.

A Bezier cubic is a polynomial of degree three: it must have four control points, it must begin at the first and end at the fourth, and it assumes that all four control points are equally important.