I work on fundamental algorithms for geometric and visual computing. Here's a taste of our group's work, as a list of "explainer" threads posted on Twitter/X over the years. (🧵)
For a whole lot more, check out:
https://t.co/VGiwZeOGVd
https://t.co/TzozBQSgBy
Signed distance functions (SDFs) are an important surface representation, which can be directly visualized via the “sphere tracing” algorithm.
At #SIGGRAPH2024 we showed how to sphere trace a whole new class of surfaces, based on *harmonic functions* rather than SDFs. [1/n]
Inspired by @keenanisalive's amazing paper on repulsive curves. Now since the math in there is way over my head I just look at the pretty pictures and try to cludge together something that feels similar. Imagine my surprise when things started to actually work.