Publication Date
3-2017
Abstract
Linear interpolation is the computationally simplest of all possible interpolation techniques. Interestingly, it works reasonably well in many practical situations, even in situations when the corresponding computational models are rather complex. In this paper, we explain this empirical fact by showing that linear interpolation is the only interpolation procedure that satisfies several reasonable properties such as consistency and scale-invariance.
Comments
Technical Report: UTEP-CS-17-20
To appear in Mathematical Structures and Modeling, 2017, Vol. 43.