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See my answer at: Interpolation of Three Data Points Rather than interpolating you should first wonder if that is a useful thing to do at all: Would your map be better than using the average temp …

I would recommend you not to use Arcgis but to use a statistical program like R, which has a good support for spatial operations and a much better support for other statistical operations. A good int …

I would stick to R. If speed is really a problem ( I doubt so 90.000 is not such a big number) you could try finding relationships between a subset of your data. Actually the first thing I would do is …

What is the variability of your data? For visualization you might have to aggregate rather than interpolate your date if its variability is high.

I would recommend to look outside ArcGIS) Very easy using the free gdal software: http://www.gdal.org/gdaldem.html gdaldem TRI input_dem output_TRI_map Or if you'd prefer it in saga gis: http://www …

As a free alternative, SAGA GIS contains a module that may do what you want (Grid Statistics for Polygons). http://www.saga-gis.org/saga_modules_doc/shapes_grid/index.html

The first step is easy to accomplish using SAGA GIS, ( and if you are on linux you could even try running the modules from Qgis) Merge all the existing rows so that just one feature represents all …

You can use gdaltindex for this: http://www.gdal.org/gdaltindex.html It will however still create rectangles (eg 4+1 points) in the same reference system as the images. But I wonder whether that real …

Using leaflet on the clientside could be a good idea: http://esri.github.io/esri-leaflet/ Apart from that, it generally takes hard work to make the UI simple.

There are some efforts to run saga modules in arcgis through sextante: http://sextantegis.blogspot.com/2011/08/here-is-another-video-of-sextante-on.html

Note that since version 2.2.1 SAGA supports toolboxes which can be run from arcgis: https://sourceforge.net/p/saga-gis/news/2015/09/saga-221-released/ " To run ArcSAGA tools, you have to navigate to …

Search for regression kriging or kriging with external drift. But on topic: How many datapoints do you have? What exactly do you want to predict at which scale? Kriging and especially regression kri …