# Two-Dimensional Freeform Reflector Design with a Scattering Surface

Vì Kronberg, Martijn Anthonissen, Jan ten Thije Boonkkamp, Wilbert IJzerman

Submitted on 7 November 2022

## Abstract

We combine two-dimensional freeform reflector design with a scattering
surface modelled using microfacets, i.e., small specular surfaces representing
surface roughness. The model results in a convolution integral for the
scattered light intensity distribution, which yields an inverse specular
problem after deconvolution. Thus, the shape of a reflector with a scattering
surface may be computed using deconvolution, followed by solving the typical
inverse problem of specular reflector design.