Inverse Distance Weighting - Definition of The Problem

Definition of The Problem

The expected result is a discrete assignment of the unknown function in a study region:

where is the study region.

The set of known data points can be described as a list of tuples:

The function is to be "smooth" (continuous and once differentiable), to be exact and to meet the user's intuitive expectations about the phenomenon under investigation. Furthermore, the function should be suitable for a computer application at a reasonable cost (nowadays, a basic implementation will probably make use of parallel resources).

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