Create an ellipse with equal distance between two points

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Muhammad Usman 2019-9-26

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/482277-create-an-ellipse-with-equal-distance-between-two-points

评论： philio63 2022-8-1

采纳的回答： John D'Errico

在 MATLAB Online 中打开

I have created an ellipse as shown

The distance between two consecutive nodes is different I want to create an ellipse with constant distance between the nodes (e.g. 0.125)

Is there any way that I can do this?

Thanks in advance

ellipCenter_x = 0;
ellipCenter_y = 0;
ellipRadius_x = 8;
ellipRadius_y = 2.5;
theta = 0:0.1:2*pi;
x1 = ellipRadius_x*cos(theta)+ellipCenter_x;
y1 = ellipRadius_y*sin(theta)+ellipCenter_y;
x1(end) = x1(1); y1(end) = y1(1);
plot(x1,y1,'ro','Linewidth',0.5);
axis equal

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KALYAN ACHARJYA 2019-9-26

编辑：KALYAN ACHARJYA 2019-9-26

The distance between two consecutive nodes is different I want to create an ellipse with constant distance between the nodes (e.g. 0.125)

How you are measuring the distance from one node to other?

Muhammad Usman 2019-9-26

编辑：Muhammad Usman 2019-9-26

Coordinates of each point is stored in ' x1 ' and ' y1 '

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Answer 1

John D'Errico 2019-9-26

2
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/482277-create-an-ellipse-with-equal-distance-between-two-points#answer_393615

编辑：John D'Errico 2019-9-26

在 MATLAB Online 中打开

The simplest way to do this is to use my interparc tool.

Just take the set of points on the ellipse. Then pass them into interparc.

pt = interparc(100,x1,y1,'csape');
plot(pt(:,1),pt(:,2),'o')
axis equal

interparc is on the file exchange, here:

https://www.mathworks.com/matlabcentral/fileexchange/34874-interparc

Could you solve this using other tools? Well, yes. I can think of several ways to do so. But they would all take at least some thought, and are not worth the effort when a trivial solution is already available.