MATLAB: 3input vs 1 output Interpolation Problem

9.5.0.1049112 (r2018b) update 3

Hello !

I have a set of data attached (Data.xlsx), there are 3 input vectors and 1 output vector, output vector named 'Error', Input vectors named X,Y,Z. based on this ,I would like to make an interpolation table so that I can use it for other intermidiate input values to get output.

please help to find a way how can I use interpolation in Matlab for 3 inputs and one output ?

Best Answer

You need to use scatteredInterpolant()

data = readtable('Data.xlsx');
idx = find(isnan(data.X), 1);
data(idx:end, :) = [];
mdl = scatteredInterpolant(data.X, data.Y, data.Z, data.Error);
err_val = mdl(245, 1500, 50) % interpolate at x = 245, y = 1500, z = 50

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MATLAB: How to obtain volume data from X,Y,Z,c data to use slice() function

N = 50;
xvec = linspace(592447.8, 592463.9, N);
yvec = linspace(507793.3, 507837.4, N);
zvec = linspace(2553.6,   2559.9, N);
[xq, yq, zq] = meshgrid(xvec, yvec, zvec);
load('data.mat')
x = data(:,1);
y = data(:,2);
z = data(:,3);
c = data(:,4);
F = scatteredInterpolant(x,y,z,c);
vq = F(X, Y, Z);
xslice = something in the x range; 
yslice = something in the y range; 
zslice = something in the z range;
slice(xq, yq, zq, vq, xslice, yslice, zslice)

MATLAB: Filled 2D contour plot

Read your data and store into x, y, u, v .

uF = scatteredInterpolant(x, y, u);
vF = scatteredInterpolant(x, y, v);
[X, Y] = ndgrid( linspace(min(x), max(x)), linspace(min(y), max(y)));
U = uF(X, Y);
V = vF(X, Y);
subplot(1,2,1);
contourf(X, Y, U);
title('u')
subplot(1,2,2)
contourf(X, U, V);
title('v')

Best Answer

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