Iterative scheme for solving optimal transportation problems arising in reflector design
From MaRDI portal
Publication:469852
DOI10.1155/2013/635263zbMath1298.65099arXiv1110.3061OpenAlexW2001499476WikidataQ58997882 ScholiaQ58997882MaRDI QIDQ469852
Publication date: 11 November 2014
Published in: ISRN Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.3061
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (4)
Error Bounds for Discretized Optimal Transport and Its Reliable Efficient Numerical Solution ⋮ Wassmap: Wasserstein Isometric Mapping for Image Manifold Learning ⋮ A stochastic multi-layer algorithm for semi-discrete optimal transport with applications to texture synthesis and style transfer ⋮ Unnamed Item
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Robust, multidimensional mesh-motion based on Monge-Kantorovich equidistribution
- Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation
- Designing freeform lenses for intensity and phase control of coherent light with help from geometry and mass transport
- Spline element method for Monge-Ampère equations
- An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization
- The Monge-Ampère equation: various forms and numerical solution
- On the numerical solution of the equation \(\frac{\partial ^ 2z\partial ^ 2z}{\partial x^ 2\partial y^ 2}-(\frac{\partial ^ 2z}{\partial x\partial y})^ 2=f\) and its discretizations. I
- An encyclopaedia of cubature formulas.
- On the design of a reflector antenna. II
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- An Efficient Numerical Method for the Solution of the $L_2$ Optimal Mass Transfer Problem
- A rigorous analysis using optimal transport theory for a two-reflector design problem with a point source
- Two Numerical Methods for the elliptic Monge-Ampère equation
- Polar factorization and monotone rearrangement of vector‐valued functions
- A Simple Mesh Generator in MATLAB
- On the design of a reflector antenna
- A Mixed Formulation of the Monge-Kantorovich Equations
- Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle
- Optimal Transport
- Numerical and analytical results for the transportation problem of Monge-Kantorovich
This page was built for publication: Iterative scheme for solving optimal transportation problems arising in reflector design