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

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?

[Walter Roberson]

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?