Interpolation under different conditions of 2 parametrs

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.

[Mathieu NOE]

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)

Answer 1

[Cyrus Monteiro]

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.