SphericalInterpolate
SphericalInterpolate triangulationDataWave, dataPointsWave, newLocationsWave
The SphericalInterpolate operation works in conjunction with the SphericalTriangulate operation to calculate interpolated values on a surface of a sphere. Given a set of {xi, yi, zi} points on the surface of a sphere with their associated values {vi}, the SphericalTriangulate operation performs the Delaunay triangulation and creates an output that is used by the SphericalInterpolate operation to calculate values at any other point on the surface of a sphere. The interpolation calculation uses Voronoi polygons to weigh the contribution of the nearest neighbors to any given location on the sphere.
Parameters
triangulationDataWave is a 13 column wave that was created by the SphericalTriangulate operation.
dataPoints is a 4 column wave. The first 3 columns are the {xi, yi, zi} locations that were used to create the triangulation, and the last column corresponds to the {vi} values at the triangulation locations.
newLocationsWave is a 3 column wave that specifies the x,y,z locations on the sphere at which the interpolated values are calculated. Note that internally, each triplet is normalized to a point on the unit sphere before it is used in the interpolation.
Flags
| /DEST = iWave | Specify the destination wave. If this flag is not specified, the operation saves the interpolation in the wave W_SphericalInterpolation in the current data folder. | |
| This flag was added in Igor Pro 10.00. | ||
| /FREE | Creates the destination wave as a free wave. | |
| /FREE is allowed only in functions, and only if the destination waves are simple names or wave reference structure fields. | ||
| See Free Waves for more discussion. | ||
| The /FREE flag was added in Igor Pro 10.00. | ||
| /Z | Suppresses error reporting. | |
Details
You will always need to use the SphericalTriangulate operation first to generate the triangulationDataWave input for this operation.
The result of the operation are put in the wave W_SphericalInterpolation.
See Also
SphericalTriangulate, Triangulate3D, ImageInterpolate with keyword Voronoi