Supplementary Material for Our Paper

Multi-Class (Anisotropic) Electrostatic Halftoning


Multi-Class (Anisotropic) Electrostatic Halftoning
Tradeoff Parameter in Multi-Class Sampling


Similar tradeoffs to those in multi-size halftoning occur when halftoning with non-independent colours and when sampling with different classes of objects. This page illustrates the influence of the tradeoff parameter 0 ≤ α ≤ 1 introduced in our paper. Here, we use two classes of objects illustrated by red and blue dots, respectively. As before, these concepts immediately carry over to an arbitrary number of classes.

Each row of images show the sampling result using a different value of α. Shown are, from left to right, the total set, and the red and blue subsets, respectively.

Input image Dithering result Stippling result
α = 0/6
 
Input image Dithering result Stippling result
α = 1/6
 
Input image Dithering result Stippling result
α = 2/6
 
Input image Dithering result Stippling result
α = 3/6
 
Input image Dithering result Stippling result
α = 4/6
 
Input image Dithering result Stippling result
α = 5/6

As can be seen, the parameter α deals as a tradeoff between a good representation of the total set of particles and good representations of subclasses in multi-class sampling applications. Small α cause clusters in the subsets corresponding to single classes, while large α generate clusters in the total set to improve the approximation of the single classes. Depending on which representation is more important, α should therefore be chosen application dependent.

The images for α = 1 are not shown because the particles from both classes are distributed independently in this case.

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