WebCab Functions Web Services for .NET v2.0

Interpolation Members

Interpolation overview

Public Instance Constructors

Interpolation ConstructorEstablishes a connection to this XML Web service.

Public Instance Methods

BicubicCoefficients Calculates the coefficients of the bicubic interpolation polynomial for the rectangular grid cell under consideration.
BicubicInterpolationOverloaded. Evaluates the value and derivatives parallel to the axis of the grid cell of the bicubic interpolation evaluated at a given point.
BicubicSplinePointwiseEvaluation Evaluates the value at a given point of the interpolation function obtained by the bicubic spline interpolation approach applied to a function of two independent variables which is known at certain tabulation points.
BicubicSplinePointwiseEvaluationPreEvaluation Evaluates the value of the bicubic interpolation function at a given point.
BisectionLocate This is a utility function which searches an monotonic sequence (with increasing or decreasing elements) using the bisection method and returns the relative position within the sequence.
CoefficientsInterpolatingPolynomial Evaluates the coefficients of the interpolating polynomial in 1 variable when the polynomial is known as a set of tabulation points.
CoefficientsInterpolatingPolynomialStable Evaluates the coefficients of the interpolating polynomial in 1 variable when the polynomial is known as a set of tabulation points.
CubicSpline2ndDifferential Calculates the second derivatives of the cubic spline interpolation polynomial at the given functions tabulation points when the first derivative at the boundary (equivalently the end points) is given.
CubicSplinePointwise Calculates the value of the cubic spline interpolation of a function in one real variable at a given point when the derivatives of the interpolation function at the end points are given.
CubicSplinePointwisePreEvaluation Evaluates the cubic spline interpolation of a function at a point when the 2nd differentials at the tabulation points are known.
Equals (inherited from Object)Determines whether the specified Object is equal to the current Object.
GetHashCode (inherited from Object)Serves as a hash function for a particular type, suitable for use in hashing algorithms and data structures like a hash table.
GetType (inherited from Object)Gets the Type of the current instance.
HuntBisectionLocate This is a utility function which searches an ordered monotonic sequence and returns the relative position within the sequence using a method which combines the hunt and Bisection method.
InterpolateExtrapolatePolynomial Interpolates (or extrapolates) a given polynomial (with associated error estimate) in one variable using a polynomial of degree n-1 when we are provided with n interpolation points.
InterpolationFunction2ndDerivative Evaluates the 2nd derivatives in the direction of the 2nd coordinate of the grid over which the function of two variables is tabulated.
RationalInterpolationExtrapolation Evaluates the value and the corresponding error estimate at a given point of the rational interpolation (or extrapolation) function where the function on the denominator and numerator are functions of the same single variable.
ToString (inherited from Object)Returns a String that represents the current Object.

Protected Instance Methods

Finalize (inherited from Object)Allows an Object to attempt to free resources and perform other cleanup operations before the Object is reclaimed by garbage collection.
MemberwiseClone (inherited from Object)Creates a shallow copy of the current Object.

See Also

Interpolation Class | Interpolation Namespace