Implicit Modeling

Implicit/Functional Modeling (F-Rep)

• Based on the implicit function, i-function: F(P) < 0 (inside), F(P) = 0 (boundary), F(P) > 0 (outside)
• Signed Distance Function/Field (SDF), d = F(P)

1. Ray-tracing and sphere-tracing and other techniques for representation
2. Slices produce directly from the implicit model
3. Can automate the engineering workflow (replay/rebuild/regenerate/update) better than B-Rep
4. Better for modern hardware and software and parallel computing
5. Smaller file size for complex models and geometries

• Hyperfun (SIGGRAPH 1999), (http://hyperfun.org)
• Kokopelli (2012), (https://github.com/mkeeter/kokopelli)
• ImplicitCad (2012), (http://www.implicitcad.org)
• Symvol (2012), (http://uformia.com)
• Antimony (2013), (https://github.com/mkeeter/antimony)
• Ao (2016), (https://github.com/mkeeter/ao-guile-repl)
• libfive (2018), (https://github.com/libfive/libfive)