GraphInterpolationPolynomial

MLModule

author	Tim Kroeger
package	FMEwork/Release
dll	MLStochasticCollocation
definition	MLStochasticCollocation.def
see also	TensorInterpolationPolynomial, SmolyakInterpolationPolynomial, EvaluateInterpolationPolynomial, DeriveInterpolationPolynomial, ScalePointInterpolationPolynomial, IntegrationInterpolationPolynomial, SimplifyInterpolationPolynomial, MultiplyInterpolationPolynomial, IntegrateBoxInterpolationPolynomial, CovarianceMatrixInterpolationPolynomial, PartiallyEvaluateInterpolationPolynomial, Histogram3DInterpolationPolynomial, HistogramSphereInterpolationPolynomial, AddInterpolationPolynomial, SlightlySimplifyInterpolationPolynomial, TranslateInterpolationPolynomial, ImageListInterpolationPolynomial, HistogramInterpolationPolynomial, FactorZeroInterpolationPolynomial
keywords	interpolation, polynomial, multivariate, graph, value, table

Purpose

The module GraphInterpolationPolynomial supplies a value table of an interpolation polynomial as a CurveData object.

Using some MeVisLab modules, this allows to draw a graph of the polynomial. This naturally only works for polynomials in one variable, since the CurveData object does not support multivariate curves. If the polynomial has more than one variable, a warning will be given and all variables except the first will be set to zero. Usually, in this case, the right solution is to use a PartiallyEvaluateInterpolationPolynomial module before the GraphInterpolationPolynomial module.

Windows

Default Panel

Input Fields

inputPolynomial

name: inputPolynomial, type: MLBase

Output Fields

outputTable

name: outputTable, type: MLBase

Parameter Fields

Field Index

Apply: Trigger

Auto apply: Bool

Automatic Bounding Box: String

Manual Bounding Box: String

Number of Points: Integer

Simplify polynomial: Bool

Use manual bounding box: Bool

Visible Fields

Automatic Bounding Box

name: autoBBox, type: String, persistent: no

Shows the generic bounding box of the polynomial.

The same bounding box can also be obtained with an EvaluateInterpolationPolynomial module.

Use manual bounding box

name: useManBBox, type: Bool, default: FALSE

If checked, the bounding box on which the value table is generated is taken from the Manual Bounding Box field below.

Otherwise, the automatic bounding box above is used. Note that in both cases, only the first dimension of the bounding box is used.

Manual Bounding Box

name: manBBox, type: String

Sets a bounding box manually if Use manual bounding box is checked.

Number of Points

name: numPoints, type: Integer, default: 100, minimum: 2

Sets the number of points that the table will consist of.

They are distributed uniformly in the interval given by the bounding box.

Simplify polynomial

name: simplifyPolynomial, type: Bool, default: FALSE

If cheked, the polynomial will be simplified (using the same procedure as the SimplifyInterpolationPolynomial module) first.

This may either speed up or slow down the computation, depending on the polynomial and on the settings.

Note that simplifying a polynomial destroys the bounding box information, but that does not matter since this module evaluates the bounding box before simplifying.

Auto apply

name: autoApply, type: Bool, default: FALSE

If checked, the module computes anew on any parameter or input change.

Apply

name: apply, type: Trigger

If pressed, the module computes anew.