multidimensional interpolation of various look-up-tables at same point (interpn)
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Hello,
I've been searching for an answer for the following problem. Although it seemed, that the question ocurred sometimes, I couldn't find the solution.
I have 4 look-up-tables. Each of them shows a value of a variable in dependency of 4 parameters (p1,p2,p3,p4). p1=p2=p3=p4=[1,2,3,4,5].
Each parameter has for example 5 points, which leads to 5^4=625 values. The data ist stored in 4 array D1,D2,D3,D4 which contain d1_1 ...d1_625 etc. Hence: size(D1)=5 5 5 5; as are size(D2),size(D3) and size(D4).
Now I interpolate for example the values for [p1,p2,p3,p4]=[1,1.4,3,3.4]
I can do this by [P1,P2,P3,P4]=ngrid(p1,p2,p3,p4); and val1=interpn(P1,P2,P3,P4,D1,1,1.4,3,3.4); val2=intterpn(...,D2,...); ...
All 4 datasets are evaluated at the same point (in the same grid). Is it posible to evaluate the complete data within one interpn-call?
I have to inteprolate quite a lot of times during my simulation, so I think this could save some time. I assume that it takes some time for the function to find the position of the nodes, so this would have to be done only once.
Thank you and best regards!
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