Recursive Zonal Equal Area (EQ) Sphere Partitioning Toolbox. Release 1.10 2005-06-26 Copyright 2004-2005 Paul Leopardi for the University of New South Wales. AUTHORS For licensing, see COPYING. For revision history, see CHANGELOG. Origin ------ Maple and Matlab code is based on Ed Saff [SafSP], [Saf03] and Ian Sloan [Slo03]. References ---------- [Dahl78] B. E. J. Dahlberg, "On the distribution of Fekete points", Duke Math. J. 45 (1978), no. 3, pp. 537--542. [KuiS98]: A. B. J. Kuijlaars, E. B. Saff, "Asymptotics for minimal discrete energy on the sphere", Transactions of the American Mathematical Society, v. 350 no. 2 (Feb 1998) pp. 523--538. [KuiSS04]: A. B. J. Kuijlaars, E. B. Saff, X. Sun, "Minimum separation f the minimal energy points on spheres in Euclidean spaces", (preprint) 2004-11-30. [LeGS01]: T. Le Gia, I. H. Sloan, "The uniform norm of hyperinterpolation on the unit sphere in an arbitrary number of dimensions", Constructive Approximation (2001) 17: p249-265. [Leo05]: P. Leopardi, "A partition of the unit sphere into regions of equal area and small diameter", Applied Maths Report AMR05/18, May, 2005, submitted to Electronic Transactions on Numerical Analysis. http://www.maths.unsw.edu.au/applied/files/2005/amr05_18.pdf [Mue98]: C. Mueller, "Analysis of spherical symmetries in Euclidean spaces", Springer, 1998. [RakSZ94]: E. A. Rakhmanov, E. B. Saff, Y. M. Zhou, "Minimal discrete energy on the sphere", Mathematics Research Letters, 1 (1994), pp. 647--662. [RakSZ95]: E. A. Rakhmanov, E. B. Saff, Y. M. Zhou, "Electrons on the sphere", Computational methods and function theory 1994 (Penang), pp. 293--309, Ser. Approx. Decompos., 5, World Sci. Publishing, River Edge, NJ, 1995. [SafK97]: E. B. Saff, A. B. J. Kuijlaars, "Distributing many points on a sphere", Mathematical Intelligencer, v19 no1 (1997), pp. 5--11. [SafSP]: E. B. Saff, "Sphere Points," http://www.math.vanderbilt.edu/~esaff/sphere_points.html [Saf03]: Ed Saff, "Equal-area partitions of sphere", Presentation at UNSW, 2003-07-28. [Slo03]: Ian Sloan, "Equal area partition of S^3", Notes, 2003-07-29. [WeiMW]: E. W. Weisstein, "Hypersphere." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Hypersphere.html [Zho95]: Y. M. Zhou, "Arrangement of points on the sphere", Thesis, University of South Florida, 1995. [Zho98]: Y. M. Zhou, "Equidistribution and extremal energy of N points on the sphere", Modelling and computation for applications in mathematics, science, and engineering (Evanston, IL, 1996), pp. 39--57, Numer. Math. Sci. Comput., Oxford Univ. Press, New York, 1998. Installation and Utilities -------------------------- Toolbox Installer 2.2, 2003-07-22 by B. Rasmus Anthin. Matlab Central File Exchange http://www.mathworks.com/matlabcentral/fileexchange/ Home page of B. Rasmus Anthin http://www.etek.chalmers.se/~e8rasmus/ Files modified and relicenced with permission of B. Rasmus Anthin: ./private install.m uninstall.m