Radial Basis Functions (Geostatisical Analyst)
Summary
Uses one of five basis functions to process each measured sample value, thus creating an exact interpolation surface.
Usage

The smooth search neighborhood is only available for the Inverse multiquadric function.

For all methods except the Inverse multiquadric function, the higher the parameter value, the smoother the surface. The opposite is true for the Inverse multiquadric function.
Syntax
Parameter  Explanation  Data Type 
in_features 
The input features containing the zvalues to be interpolated.  Feature Layer 
z_field 
Field that holds a height or magnitude value for each point. This can be a numeric field or the Shape field if the input features contain zvalues or mvalues.  Field 
cell_size (Optional) 
The cell size at which the output raster will be created. This value can be explicitly set under Raster Analysis from the Environment Settings. If not set, it is the shorter of the width or the height of the extent of the input point features, in the input spatial reference, divided by 250.  Analysis Cell Size 
out_ga_layer 
The geostatistical layer produced. This layer is required output only if no output raster is requested.  Geostatistical Layer 
out_raster (Optional) 
The output raster. This raster is required output only if no output geostatistical layer is requested.  Raster Dataset 
cell_size (Optional) 
The cell size at which the output raster will be created. This value can be explicitly set under Raster Analysis from the Environment Settings. If not set, it is the shorter of the width or the height of the extent of the input point features, in the input spatial reference, divided by 250.  Analysis Cell Size 
search_neighborhood (Optional) 
Defines which surrounding points will be used to control the output. There are two options: Standard and Smooth. Standard is the default. This is a Search Neighborhood class (SearchNeighborhoodStandard and SearchNeighborhoodSmooth). Standard
Smooth
 Geostatistical Search Neighborhood 
radial_basis_functions (Optional) 
Available Radial basis functions.
 String 
small_scale_parameter (Optional) 
Used to calculate the weights assigned to the points located in the moving window. Each of the radial basis functions has a parameter that controls the degree of smallscale variation of the surface. The (optimal) parameter is determined by finding the value that minimizes the root mean square prediction error (RMSPE).  Double 
Code Sample
Interpolate point features onto a rectangular raster.
import arcpy arcpy.env.workspace = "C:/gapyexamples/data" arcpy.RadialBasisFunctions_ga( "ca_ozone_pts", "OZONE", "outRBF", "C:/gapyexamples/output/rbfout", "2000", arcpy.SearchNeighborhoodStandard(300000, 300000, 0, 15, 10, "ONE_SECTOR"), "THIN_PLATE_SPLINE", "")
Interpolate point features onto a rectangular raster.
# Name: RadialBasisFunctions_Example_02.py # Description: RBF methods are a series of exact interpolation techniques; # that is, the surface must go through each measured sample value. # Requirements: Geostatistical Analyst Extension # Import system modules import arcpy # Set environment settings arcpy.env.workspace = "C:/gapyexamples/data" # Set local variables inPointFeatures = "ca_ozone_pts.shp" zField = "OZONE" outLayer = "outRBF" outRaster = "C:/gapyexamples/output/rbfout" cellSize = 2000.0 rbf = "THIN_PLATE_SPLINE" smallscaleParam = "" # Set variables for search neighborhood majSemiaxis = 300000 minSemiaxis = 300000 angle = 0 maxNeighbors = 15 minNeighbors = 10 sectorType = "ONE_SECTOR" searchNeighbourhood = arcpy.SearchNeighborhoodStandard(majSemiaxis, minSemiaxis, angle, maxNeighbors, minNeighbors, sectorType) # Check out the ArcGIS Geostatistical Analyst extension license arcpy.CheckOutExtension("GeoStats") # Execute RadialBasisFunctions arcpy.RadialBasisFunctions_ga(inPointFeatures, zField, outLayer, outRaster, cellSize, searchNeighbourhood, rbf, smallscaleParam)