Hermite cubic splines are 3rd degree polynomial curves that provide C2 continuity between segments by defining the position and derivative at the start and end points of each segment using 8 parameters. They are commonly used to interpolate numerical data points to generate a smooth continuous function, but only provide local rather than global control and are limited to cubic order.

2. Hermite Cubic Splines
 In order to assure C2 continuity, curves must be of
at least degree 3
 A 2-D Hermite Cubic Spline is defined by eight
parameters: a, b, c, d, e, f, g, h
 We know:
 (x, y) position at t = 0, p1
 (x, y) position at t = 1, p2
 (x, y) derivative at t = 0, dp/dt
 (x, y) derivative at t = 1, dp/dt

7. Sample Hermite Curves

8. USES:-
HERMITE CUBIC SPLINE ARE TYPICALLY
USED FOR INTERPOLATION OF
NUMERICAL DATA SPECIFIED AT GIVEN
ARGUMENT VALUES x1, x2, x3 ……xn
TO OBTAIN A SMOOTH CONTINUOUS
FUNCTION.

9. LIMITATIONS OF
HCSC
•Global control
•Order-3

10. THANK YOU