ALL meanings of interpolation
in·ter·po·la·tion
I i - abbreviation Technical meaning of INTERPOLATION extrapolation 3
- noun Definition of interpolation in Technology (mathematics, algorithm) A mathematical procedure which estimates values of a function for certain desired inputs given values for known inputs. If the desired input is outside the range of the known values this is called extrapolation, if it is inside then it is called interpolation. The method works by fitting a "curve" (i.e. a function) to two or more given points and then applying this function to the required input. Example uses are calculating trigonometric 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. 1
- noun interpolation (music) An abrupt change in elements, with continuation of the first idea. 1
- noun interpolation the act or process of interpolating or the state of being interpolated. 1
- noun interpolation something interpolated, as a passage introduced into a text. 1
- noun interpolation Mathematics. the process of determining the value of a function between two points at which it has prescribed values. a similar process using more than two points at which the function has prescribed values. the process of approximating a given function by using its values at a discrete set of points. 1
- abbreviation INTERPOLATION insertion 1
- noun interpolation sth introduced or inserted 1
- noun interpolation addition to or falsification of a document 1
- countable noun interpolation An interpolation is an addition to a piece of writing. 0
- noun interpolation the act of interpolating or the state of being interpolated 0
- noun interpolation something interpolated 0