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.

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Overview:

Some of the main objects and operations relate as follows:

Shapes and Fields Diagram     Shapes and Fields Diagram