Searching for line and circle intersection.

Question

Miro Mitev 2016-8-8

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/298830-searching-for-line-and-circle-intersection

评论： Miro Mitev 2016-8-10

Hello,

I have two circles and a line that connects the centers. I am trying to find only the closest intersections of the line and the circles(A and B) , but the "linecirc" function gives me all the four.

And this is my code:

Center1=[0.68,3.17];
Center3=[3.82,0.28];
Xline1_3=[0.68 3.82];
Yline1_3=[3.17 0.28];
p1_3=polyfit(Xline1_3,Yline1_3,1);
[X_L1_3_C1,Y_L1_3_C1] = linecirc(p1_3(:,1),p1_3(:,2),0.68,3.17,2);
[X_L1_3_C3,Y_L1_3_C3] = linecirc(p1_3(:,1),p1_3(:,2),3.82,0.28,1);
%http://www.mathworks.com/matlabcentral/fileexchange/2876-draw-a-circle
s1=circle(Center1,2,1000);
hold on
s3=circle(Center3,1,1000);
hold on
plot(Xline1_3,Yline1_3)
hold on 
scatter(X_L1_3_C1,Y_L1_3_C1)
scatter(X_L1_3_C3,Y_L1_3_C3)

2 个评论
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Pawel Ladosz 2016-8-9

Does it have to work on this case only or on any generic case?

Miro Mitev 2016-8-10

I need it in any case :)

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Answer 1

Thorsten 2016-8-9

2
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/298830-searching-for-line-and-circle-intersection#answer_231279

编辑：Thorsten 2016-8-9

在 MATLAB Online 中打开

If P11 and P12 are the intersection points with circle 1, and P21, P22 are those with circle 2, you compute the distances between each pair

d(P11, P21)
d(P11, P22)
d(P12, P21)
d(P12, P22)

an then select the points with the smallest distance. Note that for some configurations, e.g., two concentric circles and a line through the common center, you get two pairs with the same minimal distance.