EQSP is a Matlab script for Mathematics scripts design by Paul Leopardi.
It runs on following operating system: Windows / Linux / Mac OS / BSD / Solaris. EQSP - Recursive Zonal Sphere Partitioning Toolbox
Publisher review: EQSP - Recursive Zonal Sphere Partitioning Toolbox The Recursive Zonal Equal Area (EQ) Sphere Partitioning Toolbox is a suite of Matlab functions. These functions are intended for use in exploring different aspects of EQ sphere partitioning. The functions are grouped into the following groups of tasks: - Create EQ partitions - Find properties of EQ partitions - Find properties of EQ point sets - Produce illustrations - Test the toolbox - Perform some utility functionAn EQ partition is a partition of S^dim [the unit sphere in the dim 1 Euclidean space R^(dim 1)] into a finite number of regions of equal area. The area of each region is defined using the Lebesgue measure inherited from R^(dim 1). The diameter of a region is the sup of the Euclidean distance between any two points of the region. The regions of an EQ partition have been proven to have small diameter, in the sense that there exists a constant C(dim) such that the maximum diameter of the regions of an N region EQ partition of S^dim is bounded above by C(dim)*N^(-1/dim).An EQ point set is the set of center points of the regions of an EQ partition. Each region is defined as a product of intervals in spherical polar coordinates. The center point of a region is defined via the center points of each interval, with the exception of spherical caps and their descendants, where the center point is defined using the center of the spherical cap. Operating system: Windows / Linux / Mac OS / BSD / Solaris
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