Interpolation under different conditions of 2 parametrs

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Kunal Khosla
Kunal Khosla 2023-5-30
回答： Cyrus Monteiro 2023-6-15
I have a set of 9 tables with 25 distances each based on wind direction and wind speed (5 x 5). 9 tables each at a particular height and speed. I want to interpolate and find distance at a given height and speed. How can i do this. Any help is highly appreciated.
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Mathieu NOE
Mathieu NOE 2023-5-30
The interp2() function is used to Interpolate for 2-D gridded data in a mesh grid format.
Syntax:
interp2(X,Y,V,Xq,Yq)
interp2(V,Xq,Yq)
interp2(V)
interp2(V,k)
interp2(___,method)
interp2(___,method,extrapval)

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回答（1 个）

Cyrus Monteiro
Cyrus Monteiro 2023-6-15
To interpolate and find distance at a given height and speed using the given set of 9 tables in MATLAB, you can use the "interp2" function which performs 2-D interpolation. Here are the steps you can follow:
  1. Store the 9 tables in a cell array or multi-dimensional matrix.
  2. Define the range of heights and speeds at which you want to find the distance. You can do this using the "linspace" function.
  3. Use the "meshgrid" function to create two 2-D grids for height and speed.
  4. Use the "interp2" function to interpolate the distance values at the given height and speed using the 2-D grids and the tables.
Here is an example code snippet:
% Define the tables
table1 = [1 2 3 4 5; 2 4 6 8 10; 3 6 9 12 15; 4 8 12 16 20; 5 10 15 20 25];
table2 = ... % Define the rest of the tables
tables = {table1, table2, ..., table9}; % Store in a cell array
% Define the range of heights and speeds
heights = linspace(0.5, 2, 5); % range of heights
speeds = linspace(1, 5, 5); % range of speeds
% Create 2-D grids for heights and speeds
[heightGrid, speedGrid] = meshgrid(heights, speeds);
% Interpolate the distances at a given height and speed
height = 1.2; % height at which to find distance
speed = 3.5; % speed at which to find distance
distance = zeros(9, 1); % preallocate distance matrix
for i = 1:9 % iterate over the tables
distance(i) = interp2(heightGrid, speedGrid, tables{i}, height, speed);
end
This should give you the interpolated distances at the given height and speed for all 9 tables.

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