Interpolation covers cases where you have 2 points onscreen or across time & we need to fill the intermediate space to make them more perceivable.
This takes some formula (if any, i.e. not identity) from 0 to 1 & scales it to fill the target space, to compute how to scale the intermediary values between those points.
Across space this gets called (primitive) vector graphics. Across time it is "animation".
3/4!