How can I find the exact value of the corresponding point in specific longitude and latitude?

I have problem to extract exact value in projection coordinate, I actually want to extract the exact value of the point with a specific latitude and longitude (e.g., lat=45.2 and lon=28.7) from the attached data. I really appreciate anybody can help.

[Andrei Bobrov]

What is it xy.mat?

[Andrei Bobrov]

comment by Farshid Daryabor:

I really appreciate your prompt response

"xy.mat" are the projection 'x' and 'y' coordinate in meters.

Answer 1

[Andrei Bobrov]

load('data.mat');load('lat.mat');load('lon.mat');load('xy.mat');
F1 = scatteredInterpolant(LAT,LON,data)
F2 = scatteredInterpolant(LAT,LON,xx);
F3 = scatteredInterpolant(LAT,LON,yy);

lat=45.2;
lon=28.7;
out = [F1(lat,lon),F2(lat,lon),F3(lat,lon)];

[Andrei Bobrov]

comment by Farshid Daryabor:

Dear Andrei

What do you mean 'lon' and 'lat' in the following comment, is especific lon & lat for example lat=45.2 and lon=28.7?

out = [F1(lat,lon),F2(lat,lon),F3(lat,lon)];

[Andrei Bobrov]

Yes.

[Farshid Daryabor]

Dear Andrei,

it's weird for me, the power of values derived from "out = [F1(lat,lon),F2(lat,lon),F3(lat,lon)]" is compeltly different from the expected power from "var = F1.Values". For instance,

>>max(var)

5.9794e+03

While

>>max(out)

5.9794e+06

?