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 le 17 Fév 2016
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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