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  • 1SyntheticCurves CubicSplineHermiteCubicSpline

    Cubicsplinesusecubicpolynomials(3rd orderpolynomials).Thepolynomialhasfourcoefficientsandneedsfourconditionstoevaluatethecoefficients.TheHermitcubicsplineusestwodatapointsatitsendsandtwotangentvectorsatthesepoints.

    Theparametricequationofacubicsplineinanexpandedvectorformcanbewrittenas;

    P0 andP1 aretheendpointsandP0 andP1 arethetangentvectors.Forplanarsplinetangentvectorscanbereplacedbyslope.

  • HermiteCubicSplineCurve

  • HermiteCubicSplineCurve

  • HermiteCubicSplineCurve

    Synthetic Curves Cubic SplineHermite Cubic Spline CurveHermite Cubic Spline CurveHermite Cubic Spline Curve


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