26 November 2006 9:46:52.375 AM CVT_SIZE_PRB A sample problem for the probabilistic sized Centroidal Voronoi Tessellation algorithm. Given a region in 2D, the problem is to determine GENERATORS, a set of points which define a division of the region into Voronoid cells, which are also CENTROIDS of the Voronoi cells, and which have a certain SIZE. Geometry parameters: ------------------- The spatial dimension is DIM_NUM = 2 The minimum corner of the bounding box is: 0.0000 0.0000 The maximum corner of the bounding box is: 10.0000 10.0000 CVT Algorithm parameters: ------------------------- The number of Voronoi cells to generate: 10 Number of sampling points: 50000 Number of centroid iterations: 100 (This forces generator and centroid closer.) Voronoi cell generators are initialized by RANDOM_NUMBER. The desired CVT cell volumes and initial weights are: 1 1.81818 0.445072E-01 2 3.63636 0.629427E-01 3 5.45455 0.770887E-01 4 7.27273 0.890144E-01 5 9.09091 0.995211E-01 6 10.9091 0.109020 7 12.7273 0.117755 8 14.5455 0.125885 9 16.3636 0.133522 10 18.1818 0.140744 Nearest Neighbor Search parameters: ----------------------------------- The nearest neighbor search is not speeded up. The nearest neighbor search is done by exhaustion. Miscellaneous parameters: ------------------------ Generator and moment output files WILL be written. RANDOM_INITIALIZE Initialize RANDOM_NUMBER with user SEED = 123456789 Initializing the cell generators. Carry out the CVT iteration. Desired, Actual, Linear Cell Volume Volume Weight 1 1.81818 2.46400 0.445072E-01 2 3.63636 3.49200 0.629427E-01 3 5.45455 5.03400 0.770887E-01 4 7.27273 7.23200 0.890144E-01 5 9.09091 10.0560 0.995211E-01 6 10.9091 11.0240 0.109020 7 12.7273 12.2920 0.117755 8 14.5455 15.1400 0.125885 9 16.3636 16.3020 0.133522 10 18.1818 16.9640 0.140744 Area discrepancy = 4.64073 Cell generators and centroids: 1 0.659051D+00 0.907679D+01 0.671985D+00 0.909384D+01 2 0.454130D+01 0.412749D+01 0.452153D+01 0.412877D+01 3 0.520678D+01 0.628149D+01 0.519705D+01 0.626666D+01 4 0.849786D+01 0.114915D+01 0.853008D+01 0.114853D+01 5 0.159300D+01 0.155871D+01 0.158912D+01 0.157737D+01 6 0.496494D+01 0.154015D+01 0.499574D+01 0.155347D+01 7 0.344367D+01 0.855046D+01 0.344794D+01 0.856708D+01 8 0.786587D+01 0.827391D+01 0.789252D+01 0.828334D+01 9 0.173622D+01 0.535869D+01 0.176913D+01 0.536783D+01 10 0.794703D+01 0.437085D+01 0.794486D+01 0.437144D+01 Cell volumes: 1 0.246400D+01 2 0.349200D+01 3 0.503400D+01 4 0.723200D+01 5 0.100560D+02 6 0.110240D+02 7 0.122920D+02 8 0.151400D+02 9 0.163020D+02 10 0.169640D+02 CVT_SIZE_PRB Normal end of execution. 26 November 2006 9:49:10.464 AM