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
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[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