Optimal packing of general ellipses in a circle

DOI10.1007/978-3-319-66616-7_2zbMath1380.90225OpenAlexW2767079743MaRDI QIDQ1695077

Frank J. Kampas, János D. Pintér, Ignacio Castillo

Publication date: 6 February 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-66616-7_2

zbMATH Keywords

numerical resultsglobal-local optimizationLGO solver suitegeneral ellipse packings in circlesmodel development using embedded Lagrange multipliers

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (4)

Packing ovals in optimized regular polygons ⋮ Packing convex polygons in minimum-perimeter convex hulls ⋮ Model development and solver demonstrations using randomized test problems ⋮ Optimized ellipse packings in regular polygons

Uses Software

• LGO
• Mathematica
• MathOptimizer

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