Lines to follow layer boundaries

Hi.

I have a polygon with a number of GPS-points inside.

I have used Analysis Tools -> Extract -> Clip in order to only include the point that fall within a given polygon.

I have used the Point to Line feature and then Split the line at vertices.

But the thing i have noticed is that some of the lines are connected through the polygon boundaries instead of following the boundary if intersected.

Is there a way to connect the points as describes above and have the line follow the polygon boundary if it lies between the two points?

Attached is a pdf of an example of the problem.

Im using ArcMap 10.1

Attachment 24122

Best regards,

Nicolai

Attached Files

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  Clik here to view. gps_veg_fence.pdf‎ (40.2 KB)