I would use GRASS GIS module v.vol.rst which interpolates vector point data to a 3D raster map using regularized spline with tension algorithm (RST).

Here is a small example in command line syntax (you can do the same in Python, GUI or modeler):

v.import input=points.shp output=points

g.region vector=points res=0.5 t=5 b=-15 tbres=0.5

v.vol.rst input=points wcolumn=values_column tension=20 smooth=0.6 segmax=400 dmin=0.5 zscale=100 elevation=result

r3.to.rast input=result output=result_slice

where:

points.shp is name or full path of a vector file you want to import (uses GDAL/OGR)

points is the name of the vector map in GRASS GIS

values_column is name of a attribute table column with values to interpolate

result is the resulting 3D raster map

result_slice is a beginning of a name for 2D rasters created from horizontal layers of 3D raster

v.import imports the data into GRASS GIS database

g.region set the computation region extent and resolution (2D and 3D) for subsequent raster calculations

v.vol.rst does the 3D interpolation

r3.to.rast does horizontal slices of the 3D raster and creates a series of 2D rasters

The result is a 3D raster which you can further analyze or visualize in GRASS GIS or you can slice it horizontally into a series of 2D rasters and analyze and visualize them (or export them using r.out.gdal).

https://grass.osgeo.org/grass70/manuals/v.vol.rst.html

https://grass.osgeo.org/grass70/manuals/r3.to.rast.html

https://grass.osgeo.org/grass70/manuals/v.import.html

https://grass.osgeo.org/grass70/manuals/g.region.html

https://grass.osgeo.org/grass70/manuals/r.out.gdal.html

https://grass.osgeo.org/grass70/manuals/raster3dintro.html

Hi!

Check out this link: http://gis.stackexchange.com/questions/99869/three-dimensional-interpolation-of-temperature-profiles-using-gstat-in-r

It shows how a three-dimensional interpolation of temperature profiles can be implemented by using the gstat library in R (open source software).

If it doesn't solve your problem, at least I hope it will give you some ideas as to how to go about solving it.

Good Luck!

Best,

Karolina

Can try R platform

One simple and approximate approach is to use 'surfit',  GRASS GIS would be a better Choices of options depend upon the data and required accuracy

Hi,

There are lot of free packages like GSTAT, available on R for getting statistical tools.

Regards,

Sayan

Splines are a special case of radial basis functions and interpolation with rbf is equivalent to using universal kriging which is implemented in gstat. There is also an R package for rbf

Yes, R is able to handle several types of interpolation with gstat, geoR, UncerIn2 packages etc.