Interpolate x,y coordinates and timesteps

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Patrick Frey 2024-3-4

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https://ww2.mathworks.cn/matlabcentral/answers/2090146-interpolate-x-y-coordinates-and-timesteps

评论： Mathieu NOE 2024-3-5

Heallo,

I have an array M with x, y, coordinates points in the 1st and 2nd column [x= M(2:end,1); y= M(2:end,2)]. The following columns are the values (for example temperatures) for different timesteps [timesteps = M(1,3:end].

How can I interpolate the x,y coordinates and the timesteps?

clc
clear
M(5,7)=0;
M(1,2:7)=0:10:50;
M(2:5,1)=1:4;
M(2:5,2)=1:0.5:2.5;
M(2,3:7)=100:3:112;
M(3,3:7)=110:3:122;
M(4,3:7)=120:3:132;
M(5,3:7)=120:3:132;

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Patrick Frey 2024-3-5

thank you for your help

Mathieu NOE 2024-3-5

my pleasure !!

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回答（1 个）

Florian Bidaud 2024-3-4

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https://ww2.mathworks.cn/matlabcentral/answers/2090146-interpolate-x-y-coordinates-and-timesteps#answer_1420821

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In your example, you only have a 2D M array, but I guess what you want is a 3D interpolation, so with another dimension in M ?

M = [[103,113,123,123]',[106,116,126,126]',[109,119,129,126]',[112,122,132,132]'];
% Building an example of a 3 dimensional array
values(:,1,:) = M;
values(:,2,:) = M*1.05; 
values(:,3,:) = M*1.1;
values(:,4,:) = M*1.15; 
timesteps = (20:10:50)';
x = (1:4)';
y = (1:0.5:2.5)';
% query values
x_query = [1.1 3.2];
y_query = [1.3 2.2];
time_query = [21 45];
query_values = interp3(x,y,timesteps,values,x_query,y_query,time_query)
query_values = 1×2
  109.8465  144.1890