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Spline



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FUNCTIONALITY

The current release of the product implements the following functions:

Spline construction

AutoTensionSpline Interpolate using splines under automatically generated non-uniform tension.
BasisSpline Interpolate using a spline constructed using a third order polynomial basis function.
BernsteinBasis Returns the basis coefficients for a given array and polynomial of specified degree.
BezierBasisPoint Returns the single value of single parameter in the basis function.
BezierCoefficient Calculates the Bernstein basis factorial function coefficient.
BezierCurve Constructs a Bezier spline curve of user specified degree.
BezierCurveDerivatives Calculates the first and second derivatives of a Bezier spline curve of user specified degree.
CatMullRomSpline Interpolate using a Catmull-Rom recursive basis-spline.
GSpline Interpolation using splines constructed with a factorisation method.
MultipleOpenKnotVector Generates a basis spline open knot vector with multiplicity equal to the order at the end points.
NonUniformOpenKnotVector Generates a non-uniform open knot vector proportional to the chord lengths between defining polygon vertices.
OpenKnotBasisSplineVector Calculates basis functions for open knot vectors.
OpenKnotVector Calculates a basis spline open knot vector.
OpenUniformKnotBasisSplineCurve Calculates a basis spline curve, given an open uniform knot vector.
OpenUniformKnotRBasisSplineCurve Calculates a rational basis spline curve, given an open uniform knot vector.
QuinticSpline Interpolate using quintic natural splines.
RationalBasisSplineOpenKnotVector Calculates rational basis spline functions using an open knot vector.
TensionSpline Interpolate using splines under constant uniform tension.
UniformOpenBasisSplineCurve Calculates a basis spline curve using a uniform open knot vector.
UniformPeriodicKnotVector Calculates a basis spline vector given an array of uniformly spaced periodic knots.
X-Spline Interpolate using splines that can be either interpolating or approximating.


For further detail on the parameters, usage and results returned from each of these functions, please refer to the Function Reference which can be found on the documentation page.