Three-dimensional freeform reflector design with a microfacet surface roughness model.

This paper proposes a methodology for the design of freeform reflectors with scattering surfaces. We use microfacets, which are small, tilted mirrors superimposed on a smooth surface. We form a simple model of surface roughness and light scattering based on the orientations of the microfacets.

Three-dimensional freeform reflector design with a scattering surface.

We introduce an approach to calculating three-dimensional freeform reflectors with a scattering surface. Our method is based on optimal transport and utilizes a Fredholm integral equation to express scattering. By solving this integral equation through a process analogous to deconvolution, we can recover a typical specular design problem.

Two-dimensional freeform reflector design with a scattering surface.

We combine two-dimensional freeform reflector design with a scattering surface modeled using microfacets, i.e., small, specular, surfaces representing surface roughness.

Unified mathematical framework for a class of fundamental freeform optical systems.

We present a unified mathematical framework for sixteen fundamental optical systems. The systems have a parallel or point source and a parallel, point, near-field or far-field target. These choices give eight configurations if we use reflectors only and take the minimum number of freeform surfaces required.