Create polygons from circles x, y and radii
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I have 11k circles with the x/y coordinates and radii, but I want to patch them all with specific colours from the 11000-by-3 RGB colour matrix. While I use patch for my other problems, it only accepts polygon input. So I want to create polygons (with many points/faces so they still look like round) from these circles. I think it can be done with `polyshape`, but I'm not really sure (maybe use sin/cos) on how to to create polygon coordinates from the x/y/radii of the circles.
EDIT
To give you an impression on what I'm working with, I plotted the circles. The circles are derived from delaunay triangles.
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Accepted Answer
Bruno Luong
on 21 Oct 2018
Edited: Bruno Luong
on 21 Oct 2018
Your input
xc = 1;
yc = 2;
r = 3;
n = 100;
Generate polyshape n-points of a circle with center (xc,yc) radius r
theta = (0:n-1)*(2*pi/n)
x = xc + r*cos(theta);
y = yc + r*sin(theta);
P = polyshape(x,y)
P =
polyshape with properties:
Vertices: [100×2 double]
NumRegions: 1
NumHoles: 0
Plot it
plot(P)
axis equal
8 Comments
Bruno Luong
on 21 Oct 2018
Edited: Bruno Luong
on 21 Oct 2018
To remove the for-loop, you can still set RGB via colormap (kind of overkill to have one color by circle)
n = 50;
theta = (0:n-1)*(2*pi/n);
nc = 11000;
xc = rand(nc,1);
yc = rand(nc,1);
r = 1e-3+0.025*rand(nc,1);
X = xc + r.*cos(theta);
Y = yc + r.*sin(theta);
close all
RGB = rand(nc,3); % one RGB per circle
colormap(RGB);
C = rand(1,nc); % patch with random face color
patch(X',Y',(1:nc),'EdgeColor','none','FaceAlpha',0.7);
set(gca,'clim',[0.5 nc+0.5]);
axis equal
More Answers (1)
Image Analyst
on 21 Oct 2018
One way is to use poly2mask() several times, ORing them together, to get a binary image of all shapes. Then use bwlabel() to get each region a different ID label (number). Then use label2rgb() to give each region a unique color.
binaryImage = false(rows, columns);
for k = 1 : numRegions
% Somehow get the x and y for this particular shape
x = ....
y = ....
binaryImage = binaryImage | poly2mask(x, y, rows, columns);
end
labeledImage = bwlabel(binaryImage);
rgbImage = label2rgb(labeledImage, yourColorMap);
Create your colormap as a numRegions by 3 array of color numbers in the range 0-1.
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