pick up the regular grid out of scattered data
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I have a (2,1) matric which is (x,y) coordinates of a scattered data (a mixture of a regular grid and an irregular grid). The regular grid is a square grid at 5mm +/- 0.005 intervals in x and y. I want to pick up the regular grid out of the mixed grid. Any idea? Thanks
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Guillaume
on 10 Oct 2014
Yes, I understood that the points are spaced 5 mm apart. That is
x == 5*k + x0 (+/-0.005)
y == 5*k + y0 (+/-0.005)
k integer
The question was: are x0 and y0 known or not? The problem is considerably easier if they are.
Answers (1)
Guillaume
on 10 Oct 2014
If x0 and and y0 are known, then you just take the modulo of your x and y (minus the origin offset) by 5 and check that it is smaller than 0 + tolerance or greater than 5 - tolerance:
%scatterpoints = 2x1 array of scattered data
scatterx = scatterpoints(1, :) - x0;
scattery = scatterpoints(2, :) - y0;
tolerance = 0.005;
isreggridx = mod(scatterx, 5) < tolerance | mod(scatterx, 5) > 5 - tolerance;
isreggridy = mod(scattery, 5) < tolerance | mod(scattery, 5) > 5 - tolerance;
reggridpoints = scatterpoints(:, isreggridx & isreggridy)
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