Geometry Processing and Fabrication

Current geometric design tools are indirect and require esoteric training. Ad hoc pipelines for preparing geometry for fabrication involve many phases and typically many different people or groups. Meanwhile, core geometry processing algorithms are not robust to data imperfections, which are now commonplace. Our approach is fundamentally different. We adapt fundamental mathematics to work with messy geometric data. An archetypical example is our past work on generalizing the classic formula for determining the inside from the outside of a curve to messy representations of 3D surface geometry commonly found throughout computer graphics and computer aided design. This work enables downstream processing such as physical simulation and fabrication.

We are pioneering large-scale testing of geometric algorithms. This empirical evidence of robust implementation complements correctness proofs. Robust core subroutines allows us to create complete geometric design systems connecting creation to fabrication in a single pipeline, similar to “what you see is what you get” word processing.