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).
Read more about this topic: Inverse Distance Weighting
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“Although there is no universal agreement as to a definition of life, its biological manifestations are generally considered to be organization, metabolism, growth, irritability, adaptation, and reproduction.”
—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on “life” (based on wording in the First Edition, 1935)
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