0 Stimmen

I have a matirx 2-d matix where 1st colum is x and 2nd colum is y
[1 2
3 12
56 7;
4 5
6 5
6 8;
7 8
93 43
65 3;
7 8
93 43;]
I would like to spilt the data into square cells of 0.5m and know how many and what points are inside the cell

2 Kommentare
Keine anzeigen Keine ausblenden

Matt J
Matt J am 23 Apr. 2022
What does "0.5m" signify? I suggest showing the desired output for your example.
A
A am 24 Apr. 2022
0.5 is the dimenstions of the cell

Melden Sie sich an, um zu kommentieren.

Melden Sie sich an, um diese Frage zu beantworten.

 Akzeptierte Antwort

Voss
Voss am 23 Apr. 2022
Bearbeitet: Voss am 24 Apr. 2022
Ran in:

0 Stimmen

Ran in:
% (x,y) in units of m, presumably
xy = [1 2
3 12
56 7;
4 5
6 5
6 8;
7 8
93 43
65 3;
7 8
93 43;];
% define the grid starting at (min x, min y)-0.25, with spacing of 0.5:
x_grid = min(xy(:,1))-0.25:0.5:max(xy(:,1))+0.25;
y_grid = min(xy(:,2))-0.25:0.5:max(xy(:,2))+0.25;
% loop over grid cells:
for ii = 1:numel(x_grid)-1
for jj = 1:numel(y_grid)-1
% find points inside each cell:
idx = xy(:,1) >= x_grid(ii) & xy(:,1) < x_grid(ii+1) ...
& xy(:,2) >= y_grid(jj) & xy(:,2) < y_grid(jj+1);
if ~any(idx)
continue
end
% if some are found, print the info to the command line:
fprintf(1,'grid cell: x=%.2f->%.2f, y=%.2f->%.2f:',x_grid(ii+[0 1]),y_grid(jj+[0 1]));
fprintf(1,'%d point(s) inside: ',nnz(idx));
fprintf(1,'(%d,%d) ',xy(idx,:).');
end
end
grid cell: x=0.75->1.25, y=1.75->2.25:
1 point(s) inside:
(1,2)
grid cell: x=2.75->3.25, y=11.75->12.25:
1 point(s) inside:
(3,12)
grid cell: x=3.75->4.25, y=4.75->5.25:
1 point(s) inside:
(4,5)
grid cell: x=5.75->6.25, y=4.75->5.25:
1 point(s) inside:
(6,5)
grid cell: x=5.75->6.25, y=7.75->8.25:
1 point(s) inside:
(6,8)
grid cell: x=6.75->7.25, y=7.75->8.25:
2 point(s) inside:
(7,8) (7,8)
grid cell: x=55.75->56.25, y=6.75->7.25:
1 point(s) inside:
(56,7)
grid cell: x=64.75->65.25, y=2.75->3.25:
1 point(s) inside:
(65,3)
grid cell: x=92.75->93.25, y=42.75->43.25:
2 point(s) inside:
(93,43) (93,43)

9 Kommentare
7 ältere Kommentare anzeigen 7 ältere Kommentare ausblenden

A
A am 24 Apr. 2022
Bearbeitet: A am 24 Apr. 2022
Thank you so much! Just curious is there anyway to store the values into a matrix, like there are x points inside one matrix?
Voss
Voss am 24 Apr. 2022
Ran in:
Ran in:
% (x,y) in units of m, presumably
xy = [1 2
3 12
56 7;
4 5
6 5
6 8;
7 8
93 43
65 3;
7 8
93 43;];
% define the grid starting at (min x, min y)-0.25, with spacing of 0.5:
x_grid = min(xy(:,1))-0.25:0.5:max(xy(:,1))+0.25;
y_grid = min(xy(:,2))-0.25:0.5:max(xy(:,2))+0.25;
% initialize counts
Nx = numel(x_grid)-1;
Ny = numel(y_grid)-1;
counts = zeros(Ny,Nx);
% loop over grid cells:
for ii = 1:Nx
for jj = 1:Ny
% find points inside each cell:
idx = xy(:,1) >= x_grid(ii) & xy(:,1) < x_grid(ii+1) ...
& xy(:,2) >= y_grid(jj) & xy(:,2) < y_grid(jj+1);
if ~any(idx)
continue
end
% if some are found, update the counts:
counts(jj,ii) = nnz(idx);
end
end
disp(counts);
Columns 1 through 37 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 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 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 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 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 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 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 0 0 0 0 0 0 0 0 0 0 1 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 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 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 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 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 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 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 0 0 0 0 1 0 2 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 0 0 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Alternatively, as another answer suggests, you can use histcounts2 to do the counting for you:
hist_counts = histcounts2(xy(:,1),xy(:,2),x_grid,y_grid);
isequal(counts.',hist_counts) % histcounts2 returns the counts transposed relative to how I've done it
ans = logical
1
A
A am 24 Apr. 2022
Bearbeitet: A am 24 Apr. 2022
Thanks!, so with that comand it can show the number of point that are in each cell?
Also, what do the zeros mean, like how does this comand show that in one cell there are 2 points and next cell there are 5 and so on? Kinda like how 1 point(s) inside this line was used for each cell
Voss
Voss am 24 Apr. 2022
Most of the cells have zero points inside. That's why there's so many zeros.
In this case with 11 points total and grid spacing of 0.5, that's what you get; most cells have zero points inside and occasionally there are one or two points inside a cell.
A
A am 26 Apr. 2022
Okay that make senes, thank you so much
Voss
Voss am 26 Apr. 2022
You're welcome!
A
A am 27 Apr. 2022
Also, just curious why did you subtract by 0.25 for the xgrid?
Voss
Voss am 27 Apr. 2022
That's to get the first grid cell centered on the min x and min y (and I added 0.25 on the end so the grid completely spans the points). Without that, the count missed a couple of points due to them being right on the last edge of the grid, if I recall correctly.
A
A am 27 Apr. 2022
Okay that makes more sense, thank you!

Melden Sie sich an, um zu kommentieren.

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Steven Lord
Steven Lord am 24 Apr. 2022

2 Stimmen

Use the histcounts2 function.

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Mehr zu Mathematics finden Sie in Hilfe-Center und File Exchange

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am 23 Apr. 2022

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am 27 Apr. 2022

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