Properties-Bezier Curve

Question

Describe in brief the various properties of Bezier Curve?

Answer 1

The properties of Bezier curve are as:

1) The Bezier curve lies totally in the convex hull of its control paths.

2) Bezier curves are invariant beneath affine transformations, but they are not invariant beneath projective transformations.

3) The vector tangent to the Bezier curve at begin (stop) is parallel to the line connecting the first two (last two) control points.

4) Bezier curves show a symmetry property. The similar Bezier curve shape is acquired if the control points are specified in the converse order.