Hello every body, I have a simple polygon consisting of 26 points as shown in the attached file. I would like to smothen the edges of the polygon. Could any one help me with some simple ways to smoothen the edges? Thanks in advance.

If you are working in 2D, I would use Catmull-Rom splines to draw the edges (google it).

if 3D, I would start by smoothing the normals (although that might improve the shading but not the geometry).