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NumericalImplicitization :: NumericalInterpolationTable

NumericalInterpolationTable -- the class of all NumericalInterpolationTables

Description

This is a type of hashtable storing the output of a polynomial interpolation computation, with the following keys:

  • hilbertFunctionArgument: the argument, d, to the Hilbert function
  • hilbertFunctionValue: the value of the Hilbert function at d
  • imagePoints: a VerticalList of sample points on the image
  • interpolationBasis: a matrix, consisting of the degree d monomials
  • interpolationSVD: the SVD of the interpolation matrix, obtained by evaluating degree d monomials at the sample points
  • map: the map F, of which the image is under consideration

See also

Functions and methods returning a numerical interpolation table :

Methods that use a numerical interpolation table :

For the programmer

The object NumericalInterpolationTable is a type, with ancestor classes HashTable < Thing.