Linear assignment problem in the design of freeform refractive optical elements generating prescribed irradiance distributions

Double freeform illumination design for prescribed wavefronts and irradiances

(2018) Christoph Bösel et al.   JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION

Design of Freeform Illumination Optics

(2018) Rengmao Wu et al.   Laser & Photonics Reviews

Formulating the design of two freeform lens surfaces for point-like light sources

(2018) Rengmao Wu et al.   OPTICS LETTERS

Designing double freeform surfaces for collimated beam shaping with optimal mass transportation and linear assignment problems

(2018) Leonid L. Doskolovich et al.   OPTICS EXPRESS

Single freeform surface design for prescribed input wavefront and target irradiance

(2017) Christoph Bösel et al.   JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION

Variational approach to calculation of light field eikonal function for illuminating a prescribed region

(2017) Leonid L. Doskolovich et al.   OPTICS EXPRESS

Ray mapping approach for the efficient design of continuous freeform surfaces

(2016) Christoph Bösel et al.   OPTICS EXPRESS

Designing illumination lenses and mirrors by the numerical solution of Monge–Ampère equations

(2015) Kolja Brix et al.   JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION

Solving the Monge–Ampère equations for the inverse reflector problem

(2015) Kolja Brix et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Polar-grids based source-target mapping construction method for designing freeform illumination system for a lighting target with arbitrary shape

(2015) Xianglong Mao et al.   OPTICS EXPRESS

A Least-Squares Method for Optimal Transport Using the Monge--Ampère Equation

(2015) C. R. Prins et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Initial design with L^2 Monge-Kantorovich theory for the Monge–Ampère equation method in freeform surface illumination design

(2014) Rengmao Wu et al.   OPTICS EXPRESS

A Monge--Ampère-Solver for Free-Form Reflector Design

(2014) C. R. Prins et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

The near field refractor

(2013) Cristian E. Gutiérrez et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

A mathematical model of the single freeform surface design for collimated beam shaping

(2013) Rengmao Wu et al.   OPTICS EXPRESS

Freeform illumination design: a nonlinear boundary problem for the elliptic Monge–Ampére equation

(2013) Rengmao Wu et al.   OPTICS LETTERS

Blue noise through optimal transport

(2012) Fernando de Goes et al.   ACM TRANSACTIONS ON GRAPHICS

Designing Freeform Lenses for Intensity and Phase Control of Coherent Light with Help from Geometry and Mass Transport

(2011) Vladimir Oliker   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

An efficient approach for the numerical solution of the Monge–Ampère equation

(2010) Mohamed M. Sulman et al.   APPLIED NUMERICAL MATHEMATICS

Capacity-constrained point distributions

(2009) Michael Balzer et al.   ACM TRANSACTIONS ON GRAPHICS

The Refractor Problem in Reshaping Light Beams

(2008) Cristian E. Gutiérrez et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Freeform LED lens for uniform illumination

(2008) Yi Ding et al.   OPTICS EXPRESS