The centroidal Voronoi diagrams in Section 2.1 incorporate the idea of a density function which weights the centroid calculation. Regions with higher values of will pack generating points closer than regions with lower values. We can use this directly to generate high-quality stippling images by treating a greyscale image as a discrete two-dimensional function where and is the range from a black pixel to a white pixel. Define a density function . We can then stipple a given image by first distributing points in the image and using algorithm (1). Although any distribution of initial points will eventually converge, it is useful to start with a distribution that approximates the final form. Deussen et. al.  use a dithering algorithm, and we use simple rejection sampling to generate an initial distribution.
Figure 4 shows a different small Peperomia plant, lit from the side, with 20000 stipples. Although the number of stipples per square inch is less than in Figure 3, the large number of stipples still renders a faithful image. In particular, note the hard edges maintained by the stipple drawing. Figure 5 shows the full Peperomia plant from Figure 3 with 20000 stipples.
However, a more interesting test is to apply the method with low stipple counts. Smaller numbers of stipples mean that we cannot rely upon the eye to fuse the tiny size and spacing of the dots into a continuous tone. Figure 6 shows an image of an artist's mannequin and the stippled version with 1000 stipples. Figure 7 shows a climbing shoe in the same format. Note that both the stipple drawings are quite recognisable, especially in comparison to Figure 8, where the source images have been reduced in resolution until they contain approximately 1000 pixels each3.
Finally, we note that the most striking drawings come from neither very-high nor very-low numbers of stipples, but medium ranges. Figure 9 shows the climbing shoe of Figure 7 rendered with 5000 stipples. This drawing seems to both reproduce the range of tones from the orignal and have the "feel" of a real stipple drawing. Figure 10 shows a corn plant rendered with 20000 stipples and displaying both coloration on the leaves and sharp boundaries on the edges. We feel that this image begins to live up to the quote by Hodges in , page 111, in which he attests to the vibrancy of stippled images: "Like a pointallist painting, the drawing will appear to vibrate slightly."
The iterations were stopped and the stipple drawing output when the difference in the standard deviation of the area of the Voronoi regions was less than . Because the background of the input images was not always pure white, stipples were only output if the input image value at that location was greater than 99% of pure white.
The stippling method is iterative and the choice of stopping criteria is not clear, so exact timings are meaningless. However, on the system used, the stipple drawings with up to 5000 stipples completed in under a minute and the drawings with 40000 stipples complete in about 20 minutes on an otherwise unloaded machine.