hermite cubic spline curve
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• IT IS A SYNTHETIC CURVE FOR ANALYSIS OF HCSC END POINT OF CURVE & TANGENT AT TWO END POINT MUST REQUIRE HERMITE CUBIC SPLINE CURVE
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Transcript of hermite cubic spline curve
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• IT IS A SYNTHETIC CURVE FOR ANALYSIS OF HCSC END POINT OF CURVE & TANGENT AT TWO END POINT MUST REQUIRE
HERMITE CUBIC SPLINE CURVE
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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
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Sample Hermite Curves
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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.
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LIMITATIONS OF HCSC
•Global control•Order-3
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THANK YOU