Interpolation of layers to obtain a layer in the orthogonal plan
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Ricardo Duarte
on 21 Sep 2021
Commented: Ricardo Duarte
on 23 Sep 2021
Dear all,
I have three variables S1, S2 and S3 with the size (1000x1000) all that represent the sound levels in three different layers at three different depths. Now, I want to use those layers to calculate the sound levels in an orthogonal plan (kind of perpendicular cut of those layers), by using the interpolation of those three layers (see the figure below).
What and how can I do that?
Thank you all in advance.
4 Comments
Adam Danz
on 21 Sep 2021
In your description, it states that you have three layers at three different depths which makes the data set 3D.
If that's not the case, could you provide an explicit example?
Accepted Answer
Adam Danz
on 22 Sep 2021
Edited: Adam Danz
on 22 Sep 2021
Load data
data1 = load('S1.mat');
data2 = load('S2.mat');
data3 = load('S3.mat');
depths = [1 5 10];
Concatenate layers to 3D array
layers = cat(3, data1.Layer1_1m_, data2.Layer2_5m_, data3.Layer3_10m_);
Select a slice along the x axis. The select the a YZ plane at x=5
xIdx = 5; % x-slice
Interpolate
yzSlice = squeeze(layers(xIdx, :, :)); % yz plane at x=xIdx
newZ = min(depths) : max(depths); % interpolated z values
sliceInterp = interp1(depths, yzSlice', newZ)'; % interplated plane
Plot results. Circles and lines (-o) are the raw data. Dots are the interpolation.
figure()
plot(depths, yzSlice', 's-')
hold on
set(gca, 'ColorOrderIndex', 1) % reset color order to match
plot(newZ, sliceInterp', '.')
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