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Generate (X,Y) grid coordinates from within contour boundary

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mackhina
mackhina on 10 Jan 2020
Edited: mackhina on 10 Jan 2020
Hi Everyone
I have the (X,Y,Z) coodinates for a contourf plot.
I want to extract sample (X2,Y2) coordinates for a given size within the contour area under the input Z value threshold.
E.g. I only want Z values for Z_threshold = 10. If I input grid_size = 5, I want to get (X2,Y2) points spaced at 5m x 5m within the threshold contourf(X,Y,Z) area.
I can create the right size grid by using linspace, but I don't know how to restrict these coordinates to be only from within the desired contour area though?
load('contour_data.mat','X','Y','Z');
Z_threshold = 10;
grid_size = 20;
Z(Z > Z_threshold )= NaN;
contourf(X,Y,Z);
hold on
x_grid = linspace(min(X(:)), max(X(:)), range(X(:))/grid_size);
y_grid = linspace(min(Y(:)), max(Y(:)), range(Y(:))/grid_size);
[X2,Y2] = meshgrid(x_grid,y_grid);
plot(X2,Y2,'.r');
hold off
I only want (X2,Y2) from within the green circled zone below. Note that (X2,Y2) don't correspond to (X,Y) points.
contourf_grid.png
Thanks for any advice :)

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Accepted Answer

KSSV
KSSV on 10 Jan 2020
  1. Use boundary to get the boundary of your required region.
  2. Use inpolygon with the generated grid and boundary points to get the points lying inside the area of interest.
  3. Useing the indices generated from inpolygon, you can get your required points.

  1 Comment

mackhina
mackhina on 10 Jan 2020
Loads slow for my 8 million point plot, but the results are just what I needed. Thanks for the advise!
I found this guide very helpful to do what I wanted for anyone else trying to do the same thing:

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