Sum-of-squares geometry processing

@article{Marschner2021SumofsquaresGP,
  title={Sum-of-squares geometry processing},
  author={Zoe Marschner and Paul Zhang and David R Palmer and Justin M. Solomon},
  journal={ACM Transactions on Graphics (TOG)},
  year={2021},
  volume={40},
  pages={1 - 13}
}
Geometry processing presents a variety of difficult numerical problems, each seeming to require its own tailored solution. This breadth is largely due to the expansive list of geometric primitives, e.g., splines, triangles, and hexahedra, joined with an ever-expanding variety of objectives one might want to achieve with them. With the recent increase in attention toward higher-order surfaces, we can expect a variety of challenges porting existing solutions that work on triangle meshes to work… 
Grid-Free Monte Carlo for PDEs with Spatially Varying Coefficients
Fig. 1. Distribution of heat (inset) radiating from infinitely many blackbodies—about 600M effective boundary vertices are visible from this viewpoint alone. (Here we visualize a 2D slice of the full

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