GMS:Inverse Distance Weighted: Difference between revisions
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*[[GMS:Shepards Method|Constant Nodal Functions (Shepard's Method)]] – The simplest form of inverse distance weighted interpolation. | *[[GMS:Shepards Method|Constant Nodal Functions (Shepard's Method)]] – The simplest form of inverse distance weighted interpolation. | ||
*[[GMS:Gradient Plane Nodal Functions|Gradient Plane Nodal Functions]] – Variation of Shepard's method with nodal functions or individual functions defined at each point | *[[GMS:Gradient Plane Nodal Functions|Gradient Plane Nodal Functions]] – Variation of Shepard's method with nodal functions or individual functions defined at each point | ||
*[[GMS:Quadratic Nodal Functions|Quadratic Nodal Functions]] – Makes use of quadratic polynomials. | *[[GMS:Quadratic Nodal Functions|Quadratic Nodal Functions]] – Makes use of quadratic polynomials to constrain nodal functions. | ||
*[[GMS:Subset Definition|Subset Definition]] – Uses a subset of the data points in the computation of the nodal function coefficients and in the computation of the interpolation weights. | *[[GMS:Subset Definition|Subset Definition]] – Uses a subset of the data points in the computation of the nodal function coefficients and in the computation of the interpolation weights. | ||
Revision as of 16:00, 22 July 2016
One of the most commonly used techniques for interpolation of point data is inverse distance weighted (IDW) interpolation. Inverse distance weighted methods are based on the assumption that the interpolating surface should be influenced most by the nearby points and less by the more distant points. The interpolated surface is a weighted average of the point data; the weight assigned to each point diminishes as the distance to the interpolation location increases. Several options are available for inverse distance weighted interpolation. The options are selected using the IDW Interpolation Options dialog. This dialog is accessed through the Options button next to the Inverse distance weighted item in the Interpolation Options dialog.
The options in the dialog are as follows:
- Constant Nodal Functions (Shepard's Method) – The simplest form of inverse distance weighted interpolation.
- Gradient Plane Nodal Functions – Variation of Shepard's method with nodal functions or individual functions defined at each point
- Quadratic Nodal Functions – Makes use of quadratic polynomials to constrain nodal functions.
- Subset Definition – Uses a subset of the data points in the computation of the nodal function coefficients and in the computation of the interpolation weights.
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