• IT IS A SYNTHETIC CURVE FOR ANALYSIS OF HCSC END POINT OF CURVE & TANGENT AT TWO END POINT MUST REQUIRE

HERMITE CUBIC SPLINE CURVE

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

Sample Hermite Curves

USES:-

HERMITE CUBIC SPLINE ARE TYPICALLY USED FOR INTERPOLATION OF NUMERICAL DATA SPECIFIED AT GIVEN ARGUMENT VALUES x1, x2, x3 ……xnTO OBTAIN A SMOOTH CONTINUOUS FUNCTION.

LIMITATIONS OF HCSC

•Global control•Order-3

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