Zhimin Fan

Deriving vertex position and irradiance bounds for each triangle tuple based on specular polynomials and Bernstein bounds for rational functions, reducing the search domain for specular light transport.

Combining the estimates generated in each guiding iteration by leveraging the importance distributions from multiple guiding iterations.

A polynomial formulation of specular constraints (multivariate & bivariate), converted into univariate polynomials using resultants, then efficiently solved.

Importance sampling light path derivatives using a deterministic mixture of primal and differential distributions, with the optimal mixture weight conditioned on the BSDF of each vertex in the path prefix.

Importance sampling specular chains with seed placement using continuous probability distributions reconstructed from historical samples.