14-May-2025 12:33:44 CVT_2D_LUMPING_TEST(): CVT_2D_LUMPING() applies a certain number of iterations to an initial set of N points in the unit square, using a sampling approach to estimate centroids, and a weight function which affects the centroids, in an attempt to locate an arrangement of the points that satisfies the CVT condition. CVT_2D_LUMPING(): MATLAB/Octave version 6.4.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 3 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 -0.7821 0.8457 2 0.6931 -0.9942 3 0.7437 -0.2476 Graphics saved as "energy_003_r.png" Graphics saved as "motion_003_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_003.png" Graphics saved as "voronoi_003.png" Graphics saved as "delaunay_003.png" CVT_2D_LUMPING(): MATLAB/Octave version 6.4.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 6 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 -0.4639 -0.2136 2 -0.6428 0.2139 3 0.0239 0.8169 4 -0.4016 0.3708 5 0.1885 0.1262 6 0.5197 -0.7065 Graphics saved as "energy_006_r.png" Graphics saved as "motion_006_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_006.png" Graphics saved as "voronoi_006.png" Graphics saved as "delaunay_006.png" CVT_2D_LUMPING(): MATLAB/Octave version 6.4.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 10 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 0.8090 0.3225 2 -0.4422 0.7108 3 -0.5298 -0.8541 4 -0.4418 0.7491 5 -0.5490 -0.6585 6 0.1205 -0.7293 7 -0.7356 0.3100 8 -0.5009 0.6518 9 0.0933 -0.5975 10 0.7871 -0.2396 Graphics saved as "energy_010_r.png" Graphics saved as "motion_010_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_010.png" Graphics saved as "voronoi_010.png" Graphics saved as "delaunay_010.png" CVT_2D_LUMPING(): MATLAB/Octave version 6.4.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 15 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 0.8783 0.7667 2 0.0826 0.7731 3 -0.5008 -0.0643 4 -0.2948 0.4474 5 -0.9438 0.6863 6 0.8890 -0.4657 7 -0.6232 0.7847 8 0.6900 0.8675 9 0.5782 -0.9288 10 0.6637 -0.2052 11 -0.8010 -0.9502 12 0.0578 0.9422 13 -0.4934 0.3833 14 0.1031 -0.2503 15 -0.3143 -0.1675 Graphics saved as "energy_015_r.png" Graphics saved as "motion_015_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_015.png" Graphics saved as "voronoi_015.png" Graphics saved as "delaunay_015.png" CVT_2D_LUMPING(): MATLAB/Octave version 6.4.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 21 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 0.9559 0.5221 2 -0.4727 0.5386 3 0.1719 0.8653 4 -0.3521 0.6084 5 0.4334 0.1948 6 -0.5617 0.1457 7 0.8447 -0.0871 8 -0.0710 -0.7486 9 0.0505 0.4687 10 0.0624 -0.5615 11 0.0500 0.1672 12 -0.5357 -0.8610 13 0.1140 -0.3741 14 0.4105 0.7187 15 0.1561 0.1704 16 0.4195 0.9163 17 0.8911 -0.8165 18 0.5186 -0.3526 19 -0.8458 -0.2924 20 -0.1803 -0.6180 21 -0.3965 0.9606 Graphics saved as "energy_021_r.png" Graphics saved as "motion_021_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_021.png" Graphics saved as "voronoi_021.png" Graphics saved as "delaunay_021.png" CVT_2D_LUMPING(): MATLAB/Octave version 6.4.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 28 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 0.1764 0.5576 2 -0.1106 -0.8650 3 0.8970 -0.6564 4 0.4034 0.6837 5 0.1807 -0.5292 6 -0.3790 -0.5300 7 -0.0352 0.5155 8 -0.2745 -0.9496 9 -0.7407 0.0740 10 0.3594 -0.1839 11 -0.6959 -0.7009 12 0.9151 0.7210 13 -0.9747 0.1714 14 0.0230 0.4382 15 -0.2859 0.2164 16 -0.0970 0.2257 17 0.3956 -0.7160 18 0.0225 0.2797 19 -0.7533 -0.0249 20 0.0288 -0.4969 21 0.5913 -0.5791 22 0.9148 0.0498 23 -0.7645 0.7554 24 -0.4751 -0.9239 25 -0.6551 -0.6081 26 -0.6024 0.9555 27 -0.8244 -0.2385 28 0.6445 0.4614 Graphics saved as "energy_028_r.png" Graphics saved as "motion_028_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_028.png" Graphics saved as "voronoi_028.png" Graphics saved as "delaunay_028.png" CVT_2D_LUMPING(): MATLAB/Octave version 6.4.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 36 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 0.0086 0.5767 2 -0.4981 -0.4105 3 0.6764 -0.0594 4 -0.6388 0.6959 5 -0.4304 0.9848 6 -0.9479 -0.9547 7 0.1929 0.8735 8 -0.7304 0.3002 9 -0.8301 0.4645 10 -0.5663 0.1247 11 -0.0130 -0.4795 12 -0.1506 -0.1867 13 -0.0293 0.1957 14 0.6880 0.3123 15 0.2506 -0.6959 16 0.3110 -0.8813 17 -0.6518 0.7460 18 -0.5035 0.3211 19 -0.5025 0.9374 20 0.8149 -0.1590 21 -0.3919 -0.3910 22 -0.5000 -0.4756 23 -0.3263 0.5477 24 -0.8802 0.1880 25 0.8210 -0.1692 26 0.5950 0.6196 27 -0.9078 0.3894 28 -0.1609 0.7566 29 -0.6567 0.8163 30 -0.9130 -0.5669 31 -0.7956 -0.2938 32 -0.5496 0.4837 33 -0.0507 -0.2591 34 0.4794 -0.0785 35 -0.6877 0.4573 36 0.1878 -0.6982 Graphics saved as "energy_036_r.png" Graphics saved as "motion_036_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_036.png" Graphics saved as "voronoi_036.png" Graphics saved as "delaunay_036.png" CVT_2D_LUMPING(): MATLAB/Octave version 6.4.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 45 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 -0.2393 0.9720 2 0.0835 0.3880 3 0.1116 -0.8179 4 -0.0762 -0.2848 5 -0.4872 0.9285 6 0.5032 -0.6723 7 0.7896 -0.7323 8 -0.6944 -0.6091 9 -0.0996 0.7580 10 -0.9243 0.1671 11 -0.3609 0.1563 12 0.5635 -0.1526 13 -0.0514 0.1139 14 -0.9589 -0.2475 15 -0.5406 -0.2468 16 -0.2289 0.7411 17 -0.9284 0.4898 18 -0.8623 -0.3913 19 -0.5150 0.6683 20 -0.8179 -0.0645 21 -0.6886 0.4155 22 -0.2794 0.1381 23 -0.1719 0.7120 24 0.9168 0.9854 25 -0.7328 -0.0311 26 -0.4259 0.6021 27 0.1967 -0.1952 28 0.4259 0.6656 29 0.5371 -0.1003 30 -0.2095 0.8219 31 -0.1550 0.2587 32 -0.3469 0.0876 33 -0.3516 -0.2000 34 0.7328 -0.3880 35 0.0422 0.0271 36 0.1855 -0.1063 37 -0.6205 -0.4857 38 0.9280 -0.5811 39 -0.1101 0.0383 40 0.0341 0.7478 41 -0.8239 -0.2569 42 -0.9748 -0.9327 43 -0.5360 0.0962 44 0.6227 -0.1515 45 -0.1177 0.0169 Graphics saved as "energy_045_r.png" Graphics saved as "motion_045_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_045.png" Graphics saved as "voronoi_045.png" Graphics saved as "delaunay_045.png" cvt_2d_lumping_test(): Normal end of execution. 14-May-2025 12:35:02