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
Famous quotes containing the words definition of, definition and/or problem:
“Definition of a classic: a book everyone is assumed to have read and often thinks they have.”
—Alan Bennett (b. 1934)
“The physicians say, they are not materialists; but they are:MSpirit is matter reduced to an extreme thinness: O so thin!—But the definition of spiritual should be, that which is its own evidence. What notions do they attach to love! what to religion! One would not willingly pronounce these words in their hearing, and give them the occasion to profane them.”
—Ralph Waldo Emerson (1803–1882)
“One thing in any case is certain: man is neither the oldest nor the most constant problem that has been posed for human knowledge.”
—Michel Foucault (1926–1984)