How do I smooth out or delete pointy bits on the edge of an image

[tigerhawk]

Here's the thing - I have many different versions of this image with various different patterns and colors. I was thinking I may have to do it manually - this is the final step in the process - but I was really hoping I would be able to do it via ImageMagick somehow so I could then automate the entire process and do a dozen or more at once. Doing it manually is a bit fiddly and time consuming especially if I have dozens of images exactly the same shape as this.

Thanks again for your time and patience.

[fmw42]

I wish I could help more. But I do not know how to do it better. Perhaps one of the other users on this forum can suggest other ideas or commands.