Interactive Scale-dependent multidimensional Point Data Selection using enhanced Polarization Transformation - Advances in Cartography and GIScience - page 404

Fig. 9 clearly shows that the curve for R_2 monotonically increases in the
same order like for R_1 . This stands for that the relative local densities of
the points on the initial and on the reduced map have approximately the
same “positions”.

Figure 8: Voronoi diagram of original points (left) and of the kept points (right)

PRiQt QuPber

r i B1 2rigiQaO pRiQt r i B2 SeOected pRiQt differeQce

16 00022 00183 00161

29 00077 00053 00024

252 00735 00073 00662

255 00009 00182 00173

266 00098 00034 00064

273 00013 00009 00004

378 00621 00160 00461

Table 7: Relative local density of points before and after generalization for 2D-points

Figure 9: Curve of relative local density change of kept points (2D) before (green)
and after (blue) generalization