Interpolation in general is a way to determine intermediate values from a set of coordinates. Linear interpolation would be to fit a single linear function to the entire set of coordinates. Piecewise linear interpolation would then be to determine intermediate values from the set of coordinates by fitting linear functions between each set of coordinates. Connect-the-dots so to speak.
Linear interpolation is used as a method used in mathematics of constructing a curve that has the best fit to a series of points of data using linear polynomials.
Matlab has a lot of functions for interpolate, depending on what you're trying to do. You don't need a toolbox for it, either. Type "doc interp1" to get started and navigate the help file from there.
Interpolation is filling in the data points between the data that has already been collected. Extrapolation is filling in data points beyond the data that has already been collected, or extending the data.
Interpolation
The interpolation factor is simply the ratio of the output rate to the input
The noun interpolation (determine by comparison) has a normal plural, interpolations.
interpolation theorem, discovered by Józef Marcinkiewicz
Interpolation tries to predict where something should be based on previous data, movements or a theory.
An ogive is a cumulative relative frequency diagram. Interpolation is definiting the midpoint (50%) of this line
spatial interpolation is used in cartography to obtain a 'best guess' value for missing vaues on a map
interpolation, because we are predicting from data in the range used to create the least-squares line.
Scholars associate the interpolation of tropes with the beginning of polyphonic music.
The results are more reliable for interpolation .
Interpolation
Because of what it does
Interpolation and Extrapolation