Generate random coordinates around a circle

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John
John 2013-7-31
How can I generate 15 random 2-D coordinates around a circle of radius R with the center of the circle being a defined [x y] 2-D coordinate? Thanks
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John
John 2013-7-31
Unfortunately, I rarely use Matlab, I have no clue how to do it even with the polar coordinates hint

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Azzi Abdelmalek
Azzi Abdelmalek 2013-7-31
编辑：Azzi Abdelmalek 2013-8-1
x0=10; % x0 an y0 center coordinates
y0=20;
radius=10; % radius
angle=-pi:0.1:pi;
angl=angle(randperm(numel(angle),15));
r=rand(1,15)*radius;
x=r.*cos(angl)+x0;
y=r.*sin(angl)+y0;
xc=radius.*cos(angle)+x0;
yc=radius.*sin(angle)+y0;
scatter(xc,yc,'.r')
hold on
scatter(x,y)
xlim([-radius radius]+x0)
ylim([-radius radius]+y0)
axis square
hold off
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Richard Brown
Richard Brown 2013-8-1
编辑：Richard Brown 2013-8-1
Again, you're choosing from an artificially finite set (63) of evenly spaced angles there. Also, this method will cluster points near the centre of the circle.

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Azzi Abdelmalek
Azzi Abdelmalek 2013-7-31
编辑：Azzi Abdelmalek 2013-7-31
x0=10; % x0 and y0 are center coordinates
y0=20;
r=1; % radius
angle=-pi:0.1:pi;
angl=angle(randi(numel(angle),15,1))
x=r*cos(angl)+x0
y=r*sin(angl)+y0
scatter(x,y)
xlim([-r r]+x0)
ylim([-r r]+y0)
axis square
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Azzi Abdelmalek
Azzi Abdelmalek 2013-7-31
Richard, I think it's better to use randperm, with rand or randi there is a risk to have repetition

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