triangulation between two circles

Hi:

I have two circiles which is constructed by points.

With the known coordinated of the points on these two circles respectively, is there anyway generate the triangulation information like figures shown below?

The goal is not to plot the lines that construct the triangles between two circles, I need the triangulation information, i.e. the connectivity that construct those triangles by the node ID.

which is very similiar with the output of function 'triangulation':

https://www.mathworks.com/help/matlab/ref/triangulation.html

Thanks!

Yu

Answer 1

[Image Analyst]

Try this and adapt as needed:

numPoints = 50;
theta = linspace(0, 360, numPoints);
deltaTheta = (theta(2) - theta(1)) / 2
radius1 = 300;
radius2 = 400;
xInner = radius1 * cosd(theta);
yInner = radius1 * sind(theta);
plot(xInner, yInner, 'r.-', 'MarkerSize', 15, 'LineWidth', 2);
hold on;
theta2 = theta + deltaTheta;
xOuter = radius2 * cosd(theta2);
yOuter = radius2 * sind(theta2);
plot(xOuter, yOuter, 'r.-', 'MarkerSize', 15, 'LineWidth', 2);
% Plot lines between them
% Need [xinner(1), yInner(1); 
%       xOuter(1), yOuter(1);
%       xinner(2), yInner(2);
%       xOuter(2), yOuter(2);
% Interleave the arrays
row = 1;
for k = 1 : length(xInner)
	xBoth(row) = xInner(k);
	xBoth(row+1) = xOuter(k);
	yBoth(row) = yInner(k);
	yBoth(row+1) = yOuter(k);
	row = row + 2;
end
plot(xBoth, yBoth, 'b-', 'LineWidth', 1);
axis('on', 'square');
grid on;

[Yu Li]

Hi:

thanks for your reply. but I'm sorry, I did not describe my question clearly.

my goal is not to plot the triangle lines between two circles, I need the triangulation information, i.e.

1. the coordinate of each node (which is known infomation)

2. the connectivity that construct those triangles by the node ID.

which is very similiar with the output of function 'triangulation':

https://www.mathworks.com/help/matlab/ref/triangulation.html

Thanks!

Yu