extrapolationtrigonometric functions from tables and audio waveform sythesis. The simplest form of interpolation is where a function, f(x), is estimated by drawing a straight line ("linear interpolation") between the nearest given points on either side of the required input value:
f(x) ~ f(x1) + (f(x2) - f(x1))(x-x1)/(x2 - x1)There are many variations using more than two points or higher degree polynomial functions. The technique can also be extended to functions of more than one input.
Last updated: 2007-06-29