[OpenLayers-Users] Curved line over a polygon?

[SebastienLachance]

I am using OpenLayers to allow users to place a four-points polygon over an
image layer. Lately, the client want to add a line over the feature like
this : 

http://farm4.static.flickr.com/3555/3330714055_8bd9cfb58e.jpg?v=0
http://farm4.static.flickr.com/3555/3330714055_8bd9cfb58e.jpg?v=0 

When the polygon's corners are moved, the line must follow (like they were
attached to each side. Is there a way to achieve this? Or is it just plain
impossible?

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