Two-Dimensional Freeform Reflector Design with a Scattering Surface

TL;DR

This paper introduces a novel method for designing two-dimensional freeform reflectors with scattering surfaces by employing a microfacet scattering model and deconvolution techniques to solve the inverse problem.

Contribution

It combines freeform reflector design with a microfacet scattering model, enabling the computation of reflector shapes considering surface roughness effects.

Findings

Developed a convolution integral model for scattered light

Formulated an inverse problem for reflector shape with scattering

Proposed a deconvolution-based solution approach

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.