split plane into set of squares

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Hassan
Hassan on 15 Apr 2019
Answered: DGM on 2 Oct 2024
If I have set of (X,Y) points in a plane, how can I divide this plane into set of squares (with side lenght K), for example 10x10 squares to cover all the plane? the square #1 should start from (Xmin,Ymin)
X 1.33 1.89 9.27 9.46 9.2 7.43 6.08 5.57 6.7
Y 8.89 0.77 1.49 9.36 8.69 1.61 1.34 4.6 2.77
Then how can I know how many point in each square? such that
Square #1 have two points
.
Square #50 have zero point
.
Square #100 have one point

Answers (1)

DGM
DGM on 2 Oct 2024
It's not clear where the bin limits actually are, but:
% the data
x = [1.33 1.89 9.27 9.46 9.20 7.43 6.08 5.57 6.70];
y = [8.89 0.77 1.49 9.36 8.69 1.61 1.34 4.60 2.77];
% edge breakpoints
tiling = [10 10]; % [x y]
xedges = linspace(min(x),max(x),tiling(1));
yedges = linspace(min(y),max(y),tiling(2));
% the member counts
counts = histcounts2(x,y,xedges,yedges)
counts = 9×9
1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2
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% visualize the same thing
histogram2(x,y,xedges,yedges);

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