Purpose

The module this creates a multidimensional, scalar interpolation polynomial (i.e. a function from a multidimensional space to a one-dimensional space).

The input consists roughly of a tensor product mesh of points and a list of values for these points to be interpolated.

With "multidimensional", we really mean any arbitrarily high dimension. This of course also includes 1. The polynomial can be evaluated with the EvaluateInterpolationPolynomial module, and further operations can be performed with other modules of the * InterplationPolynomial family.

Tips

The module does not support Hermite interpolation. I.e., all nodes for a given direction have to be pairwise different. E.g., a the node list 1,2,2,3;4,5 is invalid. (However, 1,2,3;3,4 is of course valid.)

Windows

Default Panel

../../../Modules/ML/MLStochasticCollocation/mhelp/Images/Screenshots/TensorInterpolationPolynomial._default.png

Output Fields

outputPolynomial

name: outputPolynomial, type: MLBase

Parameter Fields

Visible Fields

Nodes

name: nodes, type: String

Sets the interpolation nodes for all the space directions.

Separate nodes for the same direction with comma, and separate directions with semicolon. This also determines the number of space dimensions. E.g., inserting 0,1,2;3,4 means that you want a two-dimensional polynomial that interpolates certain values at the points (0,3), (1,3), (2,3), (0,4), (1,4), (2,4).

Values

name: values, type: String, default: 0

Sets the values that you would like the polynomial to take at the interpolation nodes.

Separate the values with comma. Order them linearly, by last dimension first. E.g., in the above example, enter six values; they will be interpolated at the six points mentioned above in the mentioned order.

Auto apply

name: autoApply, type: Bool, default: FALSE

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

Apply

name: apply, type: Trigger

If pressed, the module computes anew.