Inverse distance weighting (IDW) is a simple method for interpolation, a process of assigning values to unknown points by using values from known points. A simple IDW weighting factor is
, where w(d) is the weighting factor applied to a known value, d is the distance from the known value to the unknown value, and p is a user-selected power factor. Here weight decreases as distance increases from the interpolated points. Greater values of p assign greater influence to values closest to the interpolated point.
A general form of interpolating a value using IDW is
where Z is the value of the interpolated point, Zi is a known value, and N is the total number of known points used in interpolation.
See also linear interpolation.
Last updated: 05-29-2005 09:09:20