# Interpolation using two variables

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Sanket Gaikwad on 24 Jul 2020
Answered: Image Analyst on 26 Jul 2020
Hi,
I have two variables accelerator pedal and vehicle speed and corresponding value for Z.
I want a solution which will give me Z value if i give any random acc pedal and vehicle speed value.
Max value of Z can be 10, not more than that.
Thanks

Rik on 24 Jul 2020
doc interp2
Rik on 26 Jul 2020
You have 2 vectors that determine the x and y values. What code did you try with meshgrid?

Image Analyst on 26 Jul 2020
Edited: Image Analyst on 26 Jul 2020
Here is a demo for scatteredInterpolant. But if you can't understand interp2() you probably won't understand this either.
Give us code to create your table if you need more help. Make it easy for us to help you, not hard.

Image Analyst on 26 Jul 2020
Sanket, try this demo of interp2(). Adapt as needed, like using your own matrix instead of my "myMatrix".
clc; % Clear the command window.
close all; % Close all figures (except those of imtool.)
clear; % Erase all existing variables. Or clearvars if you want.
workspace; % Make sure the workspace panel is showing.
format short g;
format compact;
fontSize = 18;
fprintf('Beginning to run %s.m ...\n', mfilename);
% Create a sample matrix using the MATLAB peaks logo function.
myMatrix = peaks(11)
% Scale it so that it's in the range 0-10.
myMatrix = rescale(myMatrix, 0, 10)
% Plot it as a surface so we can visualize it.
surf(myMatrix)
xlabel('Vehicle Speed', 'FontSize', fontSize);
ylabel('Acc Pedal', 'FontSize', fontSize);
zlabel('Z', 'FontSize', fontSize);
% Find out what the value is at x=6.5 and y=7.5
xq = 6.5;
yq = 7.5;
z = interp2(myMatrix, xq, yq)
% Plot that point on the surface as a red dot.
hold on;
plot3(xq, yq, z, 'r.', 'MarkerSize', 30);
caption = sprintf('Z = %.2f at (%.1f, %.1f)', z, xq, yq);
title(caption, 'FontSize', fontSize);
fprintf('Doe running %s.m ...\n', mfilename);

R2015b

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