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This question already has an answer here:

I want to interpolate daily climate data available from 3 locations. I am not sure how to interpolate the data for daily values for 30 years from the available 3 locations.

marked as duplicate by PolyGeo, Devdatta Tengshe, MappaGnosis, Fezter, Paul Oct 9 '13 at 12:05

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  • Thank you for your reply @Johan. I will give you a brief overview of my requirement. I have extracted NCEP reanalysis 2 data for various weather parameters and this data is on Gaussian grid. I have been able to convert this data into regular grid using xconv. Now, in order to validate the results produced, I am trying to do a triangular interpolation of the Gaussian Grid data to obtain the data for the grid point as defined in the regular grids. Eg. Gaussian Grid (Lon X Lat) Three Data Point: 47 X 34 46 X 34 46 X 35 Regular grid data closest to our intervention area and also which lies exactly – user22319 Sep 25 '13 at 11:50
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    I'm not sure; is this a new question or are you working with OP? – Paul Sep 25 '13 at 12:32
  • @Paul, The explanation given by Arpaan is not a new question, we both are working together, this is in context to the same question as a response to Johanvdw answer. Thanks Mamta – user22345 Sep 26 '13 at 2:54
  • This does not provide an answer to the question. To critique or request clarification from an author, leave a comment below their post - you can always comment on your own posts, and once you have sufficient reputation you will be able to comment on any post. – Fezter Sep 26 '13 at 3:16
  • This should have been pointed out, and you should have responded to the answer ("add comment") rather than commented on the question. – BradHards Sep 26 '13 at 7:35
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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 temperature for the whole area? Unless you know that there is a physical reason why temperature differences occur I would use the average value everywhere, and not make an interpolation. It may well be that the prediction is more accurate if you do that than if you use an interpolated map. Local differences may be causing the temperature changes rather than a large scale spatial trend.

What do you need the map for?

Where is your study area located? Are you sure you cannot get other data for the area?

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