Properties of Bezier Curve

Question

Write down some of the properties of Bezier Curve?

Answer 1

The properties of Bezier curve are illustrated below:

a) The Bezier curve lies completely in the convex hull of its control paths.

b) Bezier curves are invariant beneath affine transformations; however they are not invariant under the projective transformations.

c) The vector tangent to Bezier curve at the start (or stop) is parallel to the line joining the first two (last two) control points.

d) Bezier curves display a symmetry property. The similar Bezier curve shape is attained if the control points are specified in opposite order.

e) Adjusting the position of the control point modifies the shape of curve in a predictable way.