Point grid density

Alright ladies and gents, I 've got one for you:

How can I take a point cloud and have it's density falloff as a result of it's proximity to attractors?

On first thought it seems one would make a very dense point cloud and the cull out rows or columns based on proximity to attractors. I'm not sure how to set up that logic to cull the points in a smooth gradient though.

Ideally the attractor points should exist as points along a curve so that I can control the grid density falloff by changing the "attractor curve".

See image for desired end result. I want to have a field of same size circles where the density of said circles fades away to an edge.

Thanks in advance for anyone willing to give me a hand with this.

Replies to This Discussion

Permalink Reply by Javier Vizoso on August 28, 2012 at 4:53am

Try circle packing instead of using a point cloud. The packed circles determine the distance between the dots, and then you can draw a uniformely-sized dot in the center.

Permalink Reply by Andrew Heumann on August 28, 2012 at 10:49pm

Hey Bennett -

Javier's solution is a good one. You can also create a hyperdense field of random points, sort them according to position or other attractor logic, jitter the point order (with a jitter value somewhere between 0-1 - probably close to .5) and then take a subset.

Also check out this thread: http://www.grasshopper3d.com/forum/topics/image-sampler-point-density in particular the link to Daniel Piker's work with Lloyd's algorithm.

Permalink Reply by Bennett Bossert on August 30, 2012 at 7:13am