Compressed algebraic cubature over polygons with applications to optical design

DOI10.1016/j.cam.2019.112658zbMath1493.65055OpenAlexW2994981654WikidataQ126585330 ScholiaQ126585330MaRDI QIDQ2297095

Marco Vianello, Alvise Sommariva, B. Bauman

Publication date: 18 February 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112658

zbMATH Keywords

polygonal domainsnumerical cubatureoptical designCaratheodory-Tchakaloff subsamplingnumerical raytracingobscured and vignetted pupils

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Basic methods for problems in optics and electromagnetic theory (78M99)

Related Items (6)

Adaptive and frugal FETI-DP for virtual elements ⋮ Algebraic cubature on polygonal elements with a circular edge ⋮ RBF moment computation and meshless cubature on general polygonal regions ⋮ RBFCUB: a numerical package for near-optimal meshless cubature on general polygons ⋮ polygons ⋮ Schemes for cubature over the unit disk found via numerical optimization

Uses Software

• Matlab
• Polyshape
• OpticStudio
• Zernike Polynomials
• dCATCH
• NNLSlab

Cites Work

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• Moderate Degree Symmetric Quadrature Rules for the Triangle
• Product Gaussian Quadrature on Circular Lunes
• Caratheodory-Tchakaloff Subsampling
• A Cardinal Function Algorithm for Computing Multivariate Quadrature Points

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