Distributing Points on the Sphere, I

DOI10.1080/10586458.2003.10504492zbMath1087.52009OpenAlexW2021102663MaRDI QIDQ4811522

Mehrdad M. Shahshahani, Ali Kantanforoush

Publication date: 6 September 2004

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1067634731

zbMATH Keywords

logarithmic potentialFekete pointsColumb potentialdistributing points on the sphere

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Software, source code, etc. for problems pertaining to potential theory (31-04)

Related Items (7)

Computational aspects of Cui-Freeden statistics for equidistribution on the sphere ⋮ On the minimax spherical designs ⋮ Distributions of points on non-extensible closed curves in \(\mathbb{R}^3\) realizing maximum energies ⋮ ON MINKOWSKI MEASURABILITY ⋮ Generalized decomposition and cross entropy methods for many-objective optimization ⋮ Spherical distribution of 5 points with maximal distance sum ⋮ Far-field directivity of parametric loudspeaker arrays set on curved surfaces

Cites Work

• A variational approach to subdivision
• Complexity of Bezout's theorem. III: Condition number and packing
• Asymptotics for minimal discrete energy on the sphere

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