Steve Trettel

MediumCustom GPU path tracer for algebraic varieties.
The ArtA path traced image of a goursat surface - one of a particular family of algebraic varieties. The path tracer aims to compute physically correct material properties, lighting, and reflections.
The MathAn algebraic variety is the set of zeroes of a polynomial equation. Sometimes these are smooth manifolds, and other times they have singularities, which look like the vertices of double cones here in dimension 2. The Goursat surfaces are a 2-parameter family of quartic surfaces exhibiting symmetries of the cube.
CategoriesGPU Computing, Path tracing, Algebraic Geometry, Physics Simulation