Sorting coordinates on radial distance from origin
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Very new to MatLab and struggling with what I think is probably very easy.
I have a set of x,y coordinates over time from particle tracking analysis. I would like to set the origin to a specific x,y coordinate and then calculate the number of coordinates that are some given radial distance from this origin.
Any help greatly appreciated!
采纳的回答
Torsten
2022-6-9
If (x0,y0) is the reference point and your coordinates are saved in a matrix XY of size (2xn), then just use
R = 2.0; %e.g.
n = numel(find((XY(1,:)-x0).^2+(XY(2,:)-y0).^2 <= R^2))
n is the number of points in the XY matrix that lie within a radial distance of R from (x0,y0).
2 个评论
James Tursa
2022-6-9
Or just replace numel(find(... with sum(... or nnz(...
George Vaisey
2022-6-9
更多回答（1 个）
Matt J
2022-6-9
编辑：James Tursa
2022-6-9
Here's one way to do that:
[~,distance] = cart2pol(x-x0,y-y0); %distances from (x0,y0)
count = nnz(dist_Lower<=distance & distance<=dist_Upper) % count the number within a certain distance range
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