Plot points in a different colour depending on co ordinates

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Andy on 18 Feb 2013
I want to be able to plot my points in a scatter plot and if the points are within the co ordinates of two circles they will be plotted in different colours. At the moment i can plot my points within the limits i need.
x = randi([-35,165],[2000,1]);
x = x';
y = randi([-20,80],[2000,1]);
y = y';
I can also plot points with different colours within two circles.
num1 = 2000;
radius = 30;
theta = rand(1,num1)*(2*pi);
r = sqrt(rand(1,num1))*radius;
xCor = r.*cos(theta);
yCor = r.*sin(theta);
hold on;
num = 1000;
rad = 10;
theta = rand(1,num)*(2*pi);
r = sqrt(rand(1,num))*rad;
xCor2 = r.*cos(theta);
yCor2 = r.*sin(theta);
What i cant seem to work out is how do i use the original points in my first section of code and then change the colour points which are within the limits of a circle (with a given centre point)? I am aiming not to use loops as well.
Thanks You

Answers (4)

bym on 19 Feb 2013
Maybe this will help as an example:
x = rand(1000,1);
y = rand(1000,1);
yg = y;
yb = y;
plot(x,[yg yb],'.')
axis square

Image Analyst
Image Analyst on 19 Feb 2013
And a slight variation where the points continuously vary color from the center of the circle:
x = rand(1000,1);
y = rand(1000,1);
distances = ((x-.5).^2 + (y-0.5).^2).^0.5;
% Normalize - divide my sqrt(maxX^2 + maxY^2)
distances = distances / sqrt(.5^2 + .5^2);
[sortedDistances sortIndexes] = sort(distances);
% Arrange the data so that points close to the center
% use the blue end of the colormap, and points
% close to the edge use the red end of the colormap.
xs = x(sortIndexes);
ys = y(sortIndexes);
cmap = jet(length(x)); % Make 1000 colors.
scatter(xs, ys, 10, cmap, 'filled')
grid on;
title('Points where color depends on distance from center', ...
'FontSize', 30);
% Enlarge figure to full screen.
set(gcf, 'units','normalized','outerposition',[0 0 1 1]);
% Give a name to the title bar.
set(gcf,'name','Demo by ImageAnalyst','numbertitle','off')

Walter Roberson
Walter Roberson on 19 Feb 2013
Use scatter() instead of plot(). The C (color) parameter of scatter() can be an array of RGB rows, one row per point.

Andy on 19 Feb 2013
Thank you for the replies. I managed to work it out with a combination in the end. In the end i used a for loop, going through my generated numbers. I then checked the distance of the co ordinates away from the centre point of my circle and plotted them with the right colour accordingly.

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