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graphics - Drawing a Closed Curve from given points


I have the following points:


aa={{238.5, 394.5}, {195.5, 441.5}, {219.5, 397.5}, {216.5, 

398.5}, {246.5, 397.5}, {265.5, 476.5}, {275.5, 450.5}, {273.5,
435.5}, {274.5, 461.5}, {212.5, 447.5}, {221.5, 457.5}}

Now, I want to draw a closed curve from those line. So I used the following code:


Graphics[{{Blue, Point[aa]}, JoinedCurve[Line[aa], CurveClosed -> True]}]

But, it gives me curve like this:


enter image description here


I want the curve like this way:


enter image description here



Please let me know, how to do it. And, I want it to do automatically, not point by point. Please let me know. Thanks.



Answer



Note that the above method doesn't always work. Here is an alternative:


aa = RandomReal[{-1, 1}, {20, 2}];
Graphics[Line[aa[[Last[FindShortestTour[aa]]]]]]

enter image description here


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