# Computing the Dual With VEX

## Recommended Posts

Your gif is pleasing. It is a pleasing gif.

• 4

##### Share on other sites

Very nice, Thanks for sharing this and for the write up!

• 1

##### Share on other sites

Aw shucks! You guys are too kind

##### Share on other sites

Yeah this is great. Half edges are a bit of a mystery to me, but this makes them clearer. Thanks!

• 1

##### Share on other sites

Damn three of my favorite tech wizards all commenting on muh post!  Thanks for the kind words!!! Another thing I neglected to mention in the post is that the dual of delaunay triangle graph is a voronoi diagram, so really this can also be used as a vex method of generating voronoi diagrams. What that means for us is, assuming you run it on a mesh generated from "Triangulate 2D," you should get a voronoi diagram of the input points! Neat!

##### Share on other sites
On 20.5.2017 at 2:13 AM, sweetdude09 said:

... the dual of delaunay triangle graph is a voronoi diagram ...

this isn't necessarily true and depends on which type of dual you are using. in case of houdins barycentric based dual for instance, it isn't true. if you wanna get voronoi cells you have to compute the circumcentric (voronoi) dual instead. in this case the dual is orthogonal to it's primal triangulation which is one of the key properties of a voronoi.

• 3

##### Share on other sites

Ah that's a very interesting distinction. After doing a bit more research it appears i need to compute the dual using the circumcenters of a deluanay triangulation in order to compute the dual. Radical, i might take a crack at that today since I have a bit of free time, will post result in a bit =)

Edited by sweetdude09
I'm a goober!

##### Share on other sites

I'm not sure if replying to myself is bad form, but here's a gif of the voronoi version. Big thanks to petz for sending me down the right path on this one =)

JR_VORONOI_WRANGLE.hip

• 9

##### Share on other sites

"But before we get into that, holy shit look at this baby tapir."

good one
Edited by cudarsjanis
• 1

## Create an account

Register a new account