Split matrix into square cells

A
A
23 Abr. 2022
2 Respuestas
Respuesta aceptada
Actualizado a las 27 Abr. 2022
4 Visualizaciones (30 días)

0 votos

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 comentarios
Mostrar Ninguno Ocultar Ninguno

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

Iniciar sesión para comentar.

Iniciar sesión para responder a esta pregunta.

 Respuesta aceptada

Voss
Voss el 23 de Abr. de 2022
Editada: Voss el 24 de Abr. de 2022
Ran in:

0 votos

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 comentarios
Mostrar 7 comentarios más antiguos Ocultar 7 comentarios más antiguos

A
A el 24 de Abr. de 2022
Editada: A el 24 de Abr. de 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 el 24 de Abr. de 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);
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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 el 24 de Abr. de 2022
Editada: A el 24 de Abr. de 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 el 24 de Abr. de 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 el 26 de Abr. de 2022
Okay that make senes, thank you so much
Voss
Voss el 26 de Abr. de 2022
You're welcome!
A
A el 27 de Abr. de 2022
Also, just curious why did you subtract by 0.25 for the xgrid?
Voss
Voss el 27 de Abr. de 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 el 27 de Abr. de 2022
Okay that makes more sense, thank you!

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Más respuestas (1)

Steven Lord
Steven Lord el 24 de Abr. de 2022

2 votos

Use the histcounts2 function.

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