The phrase "to cut the edges" means to remove or reduce the less important or unnecessary parts of something in order to make it better or more refined. Full definition
Till now I only cut the edges of my picture to remove the paper tape. (arttutor.com)
They each will give insights into education through a programme of world class speakers sharing amazing stories about new approaches to pedagogy and the application of cutting edge technology in a school setting. (educationbusinessuk.net)
We simply lack cutting edge in making deals quickly when we have identified a target. (justarsenal.com)