Class InterpolantAbstract

Abstract base class of interpolants over parametric samples.

The parameter domain is one dimensional, typically the time or a path along a curve defined by the data.

The sample values can have any dimensionality and derived classes may apply special interpretations to the data.

This class provides the interval seek in a Template Method, deferring the actual interpolation to derived classes.

Time complexity is O(1) for linear access crossing at most two points and O(log N) for random access, where N is the number of positions.

References:

    http://www.oodesign.com/template-method-pattern.html