User:Thijshijsijsjss/Pen Plotting Panache/Plotillism: Difference between revisions

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* Find the code on [https://github.com/Nyxaeroz/Plotillism GitHub]
* Find the code on [https://github.com/Nyxaeroz/Plotillism GitHub]


<center>Steps of Weighted Voronoi Stippling visualized (please, enjoy the typo)</center>
<center>Steps of Weighted Voronoi Stippling visualized (please, enjoy the typo)</center>
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|[[File:WVS moonpool 4.png|thumb|Relaxed seed points, no background|200px]]
|[[File:WVS moonpool 4.png|thumb|Relaxed seed points, no background|200px]]
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[[File:WVS moonpool animation.gif|thumb|Relaxation visualized]]
[[File:Moonpool plotillism 20240511.jpg|thumb|right|Pen plotted pointillism plot of Radiohead's A Moon Shaped Pool (mirrored, 400x400px, 20000 points, 50 iterations, 150 threshold)]]


=Technique=
=Technique=
[[File:WVS moonpool animation.gif|thumb|Relaxation visualized]]
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# Randomly place N seed points on your canvas
# Randomly place N seed points on your canvas

Revision as of 12:11, 14 May 2024

Stippling is a drawing technique by which details are captured by placing points in varying densities and is frequently used in the impressionistic pointillism. This page describes a workflow to convert a digital image to a pointillism version that can be pen plotted.

Steps of Weighted Voronoi Stippling visualized (please, enjoy the typo)
Stochastically chosen seed points
Paths of seed points during iterative relaxation
Relaxed seed points after 50 iterations
Relaxed seed points, no background
Relaxation visualized
Pen plotted pointillism plot of Radiohead's A Moon Shaped Pool (mirrored, 400x400px, 20000 points, 50 iterations, 150 threshold)

Technique

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  1. Randomly place N seed points on your canvas
  2. Create the Delaunay diagram for these seed points: the unique triangulation such that the no triangles circumcircle contains any points)
  3. Create the Voronoi diagram for these seed points: polygons that represent the areas that contain all coordinates that share the seed point they're closest to. This is the dual graph of the Delaunay diagram (i.e. the vertices in the Voronoi diagram are the centers of the Delaunay circumcircles).
  4. Apply Lloyd's Algorithm (Voronoi iteration) by iteratively moving the seed points to the centers of the Voronoi polygons. This can be approximated by the average of the polygon vertices, or better yet be calculated (see Paul Burke's reference).
  5. Use these relaxed points for 'pointillism'

Note: for our purposes, we don't simply want to relax all points. This would ultimately lead to a uniform distribution. Instead, we want to base the relaxation on the brightness values of the image we feed in.


References