Unit Gradient Fields

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.

Preview Manuscript   
UGF Manuscript Thumbnail

Subscribe to Updates

Slide Presentation (WIP)

Follow on GitHub

Comment on Overleaf


Some of the main objects and operations relate as follows:

Shapes and Fields Diagram     Shapes and Fields Diagram