Forward rendering
Synthesizing photorealistic images of 3D digital scenes using numerical (e.g., Monte Carlo) and/or data-driven (i.e., neural) methods.
A non-exclusive list of directions my group has worked on recently — spanning physics-based light transport, differentiable and inverse rendering, and grid-free Monte Carlo PDE solvers.
Synthesizing photorealistic images of 3D digital scenes using numerical (e.g., Monte Carlo) and/or data-driven (i.e., neural) methods.
Estimating derivatives of forward-rendering results with respect to arbitrary scene parameters (e.g., camera pose, object geometry, and illumination conditions).
Inferring or optimizing scene parameters (in physics-based or neural representations) given images (e.g., photographs or video clips) of the scene.
Without domain discretization, estimating solutions and their derivatives to certain partial differential equations (e.g., Laplace and Poisson equations) using Monte Carlo methods like walk on spheres (WoS) and walk on stars (WoSt).