Identify local minima in 3D plot/coordinate data

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I have some coordinate data, and I am trying to find the points as described on this graph with arrows:
I am trying to find the point in the coordinate data in the 3D plot as it is not always clear when looking at just the vertical plots. I honestly can't get my head around it conceptually what I should do. Does anyone have any ideas on how I should approach this task? I have attached some example data with X,Y,Z position data in columns 1,2,3 respectively.

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Mathieu NOE
Mathieu NOE 2024-4-3
hello
this is what you need :
try this
load('sampledata.mat')
x = sampledata(:,1);
y = sampledata(:,2);
z = sampledata(:,3);
% coordinates of the local minima
TF = islocalmin(z,'MinSeparation',100, 'MinProminence', 5);
xlm = x(TF);
ylm = y(TF);
zlm = z(TF);
plot3(x,y,z)
hold on
plot3(xlm,ylm,zlm,'r*')

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