Unit gradient fields (UGFs), like signed distance fields SDFs, have gradients with unit magnitude. Although they do not necessarily represent the Euclidean distance to a shape, they are closed under offsets and booleans, unlike SDFs. This project explores the relationships between SDFs, and UGFs, and other fields.
I’m currently collecting my notes in a document that appears to be turning into a book. It’s at a very early stage where it could use feedback. I look forward to your thoughts.
Some of the main objects and operations relate as follows: