Curve segment - properties of bezier curves
Note:
1) The joining point on the curve along w.r.t. the parameter based upon second derivates of Q(t) is the acceleration. Whereas the Q'(t) is an tangent vector stating velocity. That is the tangent vector offers the velocity beside the curve.
The camera velocity and acceleration at connect point must be continuous, to ignore jerky movements in the consequential animation sequence.
2) Curve segment consisting continuity C^{1} implies the G^{1} continuity although the converse is usually not true. This G^{1} curves are less restrictive than the C^{1}, consequently curves can be G^{1} but not essentially C^{1} .
Curves as Spline curve, cubic spline curve are curve suitable method utilized to make a smooth curve specified a set of points via out the path weight are distributed. Spline is utilized in graphics to identify animation paths, to digitize drawings for computer storage mostly CAD application, utilize them for automobile bodies design in aircraft design and so on.