How to connect multiple points in order using the shortest line

Question

Romio 2021-4-29

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/816470-how-to-connect-multiple-points-in-order-using-the-shortest-line

回答： Matt J 2021-4-29

采纳的回答： Matt J

在 MATLAB Online 中打开

I have the following discrete points.

The x and y coordinates are the following

X =  [-0.5305   -2.0960   -1.6192   -2.2768   -1.9141   -2.0279   -2.0102   -2.0087   -2.0083   -2.0083   -2.0083]
Y =  [3.4667    1.7524    1.0045    1.2514    1.0493    1.1818    1.1733    1.1763    1.1762    1.1762    1.1762]

I want to draw lines that connect these coordinates in a consecutive way using the shortest distance among them. For example the first line is between (-0.5305,3.4667) and (-2.0960, 1.7524). The second is between (-2.0960, 1.7524) and (-1.6192,1.0045) and so on.

I tried the following code, but it gave me weird lines that are not the shortest

for i = 1:length(Xk)-1
    for j = i+1:length(Xk)-1
        plot([Xk(i) Xk(j)],[Yk(i) Yk(i)])
        plot([Xk(j) Xk(j)],[Yk(i) Yk(j)])
        pause(0.01)
    end
end

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Answer 1

Matt J 2021-4-29

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/816470-how-to-connect-multiple-points-in-order-using-the-shortest-line#answer_687650

在 MATLAB Online 中打开

X = [-0.5305 -2.0960 -1.6192 -2.2768 -1.9141 -2.0279 -2.0102 -2.0087 -2.0083 -2.0083 -2.0083];

Y = [3.4667 1.7524 1.0045 1.2514 1.0493 1.1818 1.1733 1.1763 1.1762 1.1762 1.1762];

line(X,Y)

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Answer 2

Matt J 2021-4-29

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/816470-how-to-connect-multiple-points-in-order-using-the-shortest-line#answer_687645

在 MATLAB Online 中打开

X = [-0.5305 -2.0960 -1.6192 -2.2768 -1.9141 -2.0279 -2.0102 -2.0087 -2.0083 -2.0083 -2.0083];

Y = [3.4667 1.7524 1.0045 1.2514 1.0493 1.1818 1.1733 1.1763 1.1762 1.1762 1.1762];

p=polyshape(X,Y);

Warning: Polyshape has duplicate vertices, intersections, or other inconsistencies that may produce inaccurate or unexpected results. Input data has been modified to create a well-defined polyshape.

plot(p,'FaceColor','none')