The inverse of a Voronoi diagram is called the Delaunay Triangulation. Neko case blacklisted zip codes. This diagram consists of lines from each point to its nearest neighbours, and each line is perpendicular to the Voronoi edge it crosses. Here is what it looks like: The white lines are the Delaunay lines. Each Delaunay line corresponds to one and only one Voronoi edge.

Posts: 9930 I do not have a smartphone, nor an Ipad or a Mac, and do not have Illustrator, so I CAN´T use any of the softwares available options to make this cool and weird Delaunay Triangulation So for me the only available and usable way is the great and very well done FLASH tool, but this from Deviantart is ONLY 480 x 600 images Below is my own example with a colors texture instead of a portrait or detailed photo Quote uberzev wrote: Very cool interactive flash tool Quote uberzev wrote: Drew this in about 5 minutes. Well done and very good that you have been able to 'draw' the triangulation this way HOW you have done it, it was with this flash tool or in any other way?

Posted: July 2, 2012 4:06 am SpaceRay. Posts: 9930 What would be needed to be added to FF to be able to make this beautiful Delaunay Triangulation? Is this below?

(from this Quote Delaunay Diagram fro triangulation A Delaunay Diagram is an optimal triangulation of a given set of points. This is very helpful for applying mesh textures, or creating structures for physical simulation. Voronoi and Delaunay Diagrams are duals. For every edge of a Delaunay diagram, an edge of a Voronoi diagram perpendicularly bisects it. Would be really possible to make this in FF? Because if it needs to be interactive I do not think that it would be possible, unless the interaction is made through the FF settings Here is another example of another texture with Red, Black and White made with the Flash tool Posted: July 2, 2012 4:12 am uberzev. Posts: 1207 I was just re-reading this thread this morning and had an idea because I saw someone mention it being related to Voronoi noise.

I plugged in the image to a Cells component as both Noise and Background input, then set settings to Solid Fill, Non-Flat, and Formula to Avg(F1-F2-F3-F4), with Details and Roughness set to 0. At first I thought I could control the 'point density' by setting roughness to a map of an 'edge detected' version of the image, but it doesn't seem to work like that. Adding details and roughness just blends octaves instead of increasing density. Here are some results with the Scale parameter changed, along with variation of course. Posts: 9930 Quote Betis Here are some results with the Scale parameter changed, along with variation of course. I am very sorry to tell that this you have done is NOT all the same in any way like the Delaunay Triangulation, at least from my point of view, as ALL MUST BE TRIANGLES and ONLY triangles, and can´t be any other polygons or other kind of lines In fact, I have already made a filter similar to the one you have and that even have better results than this, BUT as said is NOT like the delaunay effect, so I have not said anything about this. Sorry to say this.