Combination of distances between multiple points

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Mirza Ahmed 2021-7-29

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https://ww2.mathworks.cn/matlabcentral/answers/888527-combination-of-distances-between-multiple-points

评论： Mirza Ahmed 2021-8-3

I have a number of circles, where I can define the number at the beginning, i = number of circle. I have to calculate every minimum distance between every circle. That means the equation can be written as:

dist = (x1-x2)^2 + (y1-y2)^2 - (r1+r2)

Let's say the number of circle is chosen 6, so the number of combination of distances come as 15.

To define the variables first, I have declared the matrices of radius, x coordiantes and y coordinates. Now, from this point onwards, I need help to write the basic and generalized code to find the combination.

Thanks!

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Answer 1

Rik 2021-7-29

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https://ww2.mathworks.cn/matlabcentral/answers/888527-combination-of-distances-between-multiple-points#answer_756547

在 MATLAB Online 中打开

You already have the generalized code. You just need to combine it with nchoosek:

x=1+10*rand(1,6);
y=1+10*rand(1,6);
r=rand(1,6);
combs=nchoosek(1:6,2);
c1=combs(:,1);c2=combs(:,2);
d=(x(c1)-x(c2)).^2 + (y(c1)-y(c2)).^2 - (r(c1)+r(c2));
combs(:,3)=d
combs = 15×3
    1.0000    2.0000    7.9112
    1.0000    3.0000    8.4890
    1.0000    4.0000    8.4228
    1.0000    5.0000    5.9644
    1.0000    6.0000   21.6430
    2.0000    3.0000   28.6815
    2.0000    4.0000   34.0819
    2.0000    5.0000    1.8794
    2.0000    6.0000   11.5847
    3.0000    4.0000    3.2875
%(circle 1, circle 2, distance)