PolynomialExpansion

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4. def apply(input: libcog.ScalarField, applicability: libcog.Matrix): (libcog.MatrixField, libcog.VectorField)

   

   Project a scalar field locally onto a 2nd-order polynomial approximation, represented by a matrix field + vector field + scalar field.

   Project a scalar field locally onto a 2nd-order polynomial approximation, represented by a matrix field + vector field + scalar field. The basis set consists of the following 2-dimensional functions:

   1, x, y, x*x, x*y, y*y.

   This is based on Gunnar Farneback's dissertation.

   input

   Scalar field to be projected onto polynomial expansion.

   returns

   (matrix field, vector field) of the expansion.

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