triangulation between two circles

Question

Yu Li 2020-4-26

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/520774-triangulation-between-two-circles

编辑： Yu Li 2020-4-26

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

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Answer 1

Image Analyst 2020-4-26

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/520774-triangulation-between-two-circles#answer_428413

在 MATLAB Online 中打开

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;