How can I color the area inside the outers points?

The simple questions is:

1) If I have the coordinates of some points How can I color the area enclosed by the outer segments?

Image, If you see the attached image you can see the situation. I have the coordinates of the points 6 11 15 and 29. I want to connect 6 with 11, 11 with 29, 29 with 15 and 15 with 6: this is the matter. Is it possibile? I have the coordinates of the points.

[Image Analyst]

What do you mean by "color"? Is an image or a plot? If an image do you want to pseudocolor the image with a colormap or do you want to write the colors into an RGB image, or do you want to put something into the overlay with patch() or fill()? If a graph, do you want to use patch() or fill() to display a region in the overlay?

Answer 1

[Paul]

x=rand(5,1);
y=rand(5,1);

center_x=mean(x);
center_y=mean(y);

[th,rho] = cart2pol(x-center_x,y-center_y);

thr=sortrows([th,rho]);
[xs,ys]=pol2cart(thr(:,1),thr(:,2));

% figure;   %fill with normal x and y values
% fill(x,y,'r')
figure;
fill(xs+center_x,ys+center_y,'r')

This transforms the coordinates to polar coordinates, sorts them based on the angle around the centre and then transforms these back to cartesian coordinates.