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Very excited to share #SIGGRAPH2020 paper w/ @rohansawhney1 on "Monte Carlo Geometry Processing"

cs.cmu.edu/~kmcrane/Proje…

We reimagine geometric algorithms without mesh generation or linear solves. Basically "ray tracing for geometry"—and that analogy goes pretty deep (1/n)
Especially for problems with super complicated geometry, not having to mesh the domain provides a massive reduction in real world end-to-end cost. For instance, this model takes 14 hours to mesh and solve w/ FEM, but less than 1 minute to preview with Monte Carlo: (2/n)
As an added bonus, we can do geometry processing directly on nonmanifold meshes, implicit surfaces, instanced geometry, CSG, Bezier curves, NURBS surfaces, etc., without doing any tessellation, sampling, mesh booleans, etc. So how does this all work? Here's the story. (3/n)
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