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Highlights from
EQSP: Recursive Zonal Sphere Partitioning Toolbox

• area_of_cap(dim, s_cap) AREA_OF_CAP Area of spherical cap
• area_of_collar(dim, a_top, a_... AREA_OF_COLLAR Area of spherical collar
• area_of_ideal_region(dim,N) AREA_OF_IDEAL_REGION Area of one region of an EQ partition
• area_of_sphere(dim) AREA_OF_SPHERE Area of sphere
• calc_dist_coeff(dim,N,min_euc... CALC_DIST_COEFF Coefficient of minimum distance
• calc_energy_coeff(dim,N,s,ene... CALC_ENERGY_COEFF Coefficient of second term in expansion of energy
• calc_packing_density(dim,N,mi... CALC_PACKING_DENSITY Density of packing given by minimum distance
• cart2polar2(x) CART2POLAR2 Convert from Cartesian to spherical coordinates on sphere S^2
• eq_area_error(dim,N) EQ_AREA_ERROR Total area error and max area error per region of an EQ partition
• eq_caps(dim,N) EQ_CAPS Partition a sphere into to nested spherical caps
• eq_diam_bound(dim,N) EQ_DIAM_BOUND Maximum per-region diameter bound of EQ partition
• eq_diam_coeff(dim,N) EQ_DIAM_COEFF Coefficients of diameter bound and vertex diameter of EQ partition
• eq_dist_coeff(dim,N,varargin) EQ_DIST_COEFF Coefficient of minimum distance of an EQ point set
• eq_energy_coeff(dim,N,s,varar... EQ_ENERGY_COEFF Coefficient in expansion of energy of an EQ point set
• eq_energy_dist(dim,N,s,vararg... EQ_ENERGY_DIST Energy and minimum distance of an EQ point set
• eq_min_dist(dim,N,varargin) EQ_MIN_DIST Minimum distance between center points of an EQ partition
• eq_packing_density(dim,N,vara... EQ_PACKING_DENSITY Density of packing given by minimum distance of EQ point set
• eq_point_set(dim,N,varargin) EQ_POINT_SET Center points of regions of EQ partition, in Cartesian coordinates
• eq_point_set_polar(dim,N,vara... EQ_POINT_SET_POLAR Center points of regions of an EQ partition
• eq_point_set_property(fhandle... EQ_POINT_SET_PROPERTY Property of an EQ point set
• eq_regions(dim,N,varargin) EQ_REGIONS Recursive zonal equal area (EQ) partition of sphere
• eq_regions_property(fhandle,d... EQ_REGIONS_PROPERTY Property of regions of an EQ partition
• eq_vertex_diam(dim,N) EQ_VERTEX_DIAM Maximum vertex diameter of EQ partition
• eq_vertex_diam_coeff(dim,N) EQ_VERTEX_DIAM_COEFF Coefficient of maximum vertex diameter of EQ partition
• euc2sph_dist(e) EUC2SPH_DIST Convert Euclidean to spherical distance
• euclidean_dist(x,y) EUCLIDEAN_DIST Euclidean distance between two points in Cartesian coordinates
• fatcurve(c,r) FATCURVE Create a parameterized cylindrical surface at radius r from curve c
• haslight(axish) HASLIGHT Check if axis handle has a light attached
• ideal_collar_angle(dim,N) IDEAL_COLLAR_ANGLE The ideal angle for spherical collars of an EQ partition
• illustrate_eq_algorithm(dim,N... ILLUSTRATE_EQ_ALGORITHM Illustrate the EQ partition algorithm
• illustration_options(gdefault... ILLUSTRATION_OPTIONS Options for illustrations of EQ partitions
• install_eq_toolbox(arg) INSTALL_EQ_TOOLBOX Install using Toolbox Installer, with sensible defaults
• partition_options(pdefault, v... PARTITION_OPTIONS Options for EQ partition
• point_set_dist_coeff(points) POINT_SET_DIST_COEFF Coefficient of minimum distance of a point set
• point_set_energy_coeff(points... POINT_SET_ENERGY_COEFF Coefficient in expansion of energy of a point set
• point_set_energy_dist(points,... POINT_SET_ENERGY_DIST Energy and minimum distance of a point set
• point_set_min_dist(points) POINT_SET_MIN_DIST Minimum distance between points of a point set
• point_set_packing_density(poi... POINT_SET_PACKING_DENSITY Density of packing given by minimum distance of a point set
• polar2cart(s) POLAR2CART Convert spherical polar to Cartesian coordinates
• project_point_set(points,vara... PROJECT_POINT_SET Use projection to illustrate a point set of S^2 or S^3
• project_s2_partition(N,vararg... PROJECT_S2_PARTITION Use projection to illustrate an EQ partition of S^2
• project_s3_partition(N,vararg... PROJECT_S3_PARTITION Use projection to illustrate an EQ partition of S^3
• show_r3_point_set(points_x,va... SHOW_R3_POINT_SET 3D illustration of a point set
• show_s2_partition(N,varargin) SHOW_S2_PARTITION 3D illustration of an EQ partition of S^2
• sph2euc_dist(s) SPHE2EUC_DIST Convert spherical to Euclidean distance
• spherical_dist(x,y) SPHERICAL_DIST Spherical distance between two points on the sphere
• sradius_of_cap(dim, area) SRADIUS_OF_CAP Spherical radius of spherical cap of given area
• uninstall_eq_toolbox(arg) UNINSTALL_EQ_TOOLBOX Uninstall using Toolbox Installer.
• volume_of_ball(dim) VOLUME_OF_BALL Volume of the unit ball
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