Grasshopper

algorithmic modeling for Rhino

I want to round the corners of this mesh

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Have you tried weaverbird Plugin before?

You can offset it inward and backward using some of the script here. 

http://www.grasshopper3d.com/forum/topics/offset-mesh-problems-with...

I had some problem with the positive offset, bounding box must be big. 

As Mohamed said, You could certainly remesh the mesh with more faces and use Weavebird Catmull & Clark, Laplacian smoothing ...

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