How can i find shortest path between start and target position with interpolating intermediate points?

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I have 10 control points. Among these control points, i consider start and target position. Then find a shortest path between start and target position through intermediate points. (not necessary to interpolate all the intermediate points). Which evolutionary algorithm suitable for this case?
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Walter Roberson
Walter Roberson 2016 年 2 月 17 日
If it is allowed to not go through some of the points, then why not just go directly from the start point to the end point?

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