anderswallin.net » kd-tree

Drop-cutter Tux

admin — Thu, 18 Mar 2010 20:44:26 +0000

After the kd-tree search is done, I've added an overlap-check which leaves only triangles with a bounding box intersecting the cutter's bounding box for the drop-cutter algorithm. It's seems like a band-aid kind of hack to get it working, I think if the tree-search would be bug free the overlap check would not be needed...

The HD-version of the video is much better, once youtube has finished processing.

Kd-tree visualization

admin — Wed, 17 Mar 2010 20:04:47 +0000

When vimeo has had time to process the video, this will show a visualization of the kd-tree search:

http://vimeo.com/10241672

the code is probably still a bit buggy...

Youtube vs. Vimeo

admin — Tue, 16 Mar 2010 21:05:33 +0000

I've continued to translate into C++ the old cam-experiments I wrote in C#. The kd-tree search for which triangles lie under the cutter seems to work, and the best way to visualize what is going on is through a video. Trying Vimeo for a change, to see if it's any better than youtube for these CAD/CAM-visualizations, since they advertise HD.

There are 360 original frames captured from VTK, and the original was created with

mogrify -format jpg -quality 97 *.png

followed by (copy/pasted from some site google found for me...)

mencoder mf://*.jpg -mf fps=25:type=jpg -aspect 16:9 -of lavf -ovc lavc -lavcopts aglobal=1:vglobal=1:coder=0:vcodec=mpeg4:vbitrate=4500 -vf scale=1280:720 -ofps 30000/1001 -o OUTPUT3.mp4

If anyone knows something better which produces nice results on youtube or vimeo, let me know.

The original is 1280x720 pixels, so it's better to jump out of the blog to watch the videos in native resolution.

Youtube: http://www.youtube.com/watch?v=k3uCpWYm174

Vimeo: http://vimeo.com/10215501

Drop-cutter toolpath algorithm development, part1 from anders wallin on Vimeo.

OK, so the video doesn't really show what is going on with the kd-tree search at all . It only shows two toolpaths, one coloured in many colours which is calculated without the kd-tree, and another one (offset upwards for clarity) that is calculated, much faster, using the kd-tree.

drop-cutter with kd-tree

admin — Fri, 21 Mar 2008 01:29:47 +0000

First test with drop-cutter aided by the kd-tree. The output toolpath looks very much like the one without kd-tree, which is good. Less great is that I expected a speed-up of the algorithm - but in fact when I use kd-tree the program slows down! Something to investigate over the next few days.

Timing build_kdtree()

admin — Tue, 18 Mar 2008 21:46:30 +0000

Drop-cutter requires a fast way of searching for triangles under the tool. A kd-tree (4-dimensional in this case) is suggested by Yau et al. I've tried to implement one here (look in trunk/Project2). Just ran some timing tests using Stopwatch() on it, and indeed the build_kdtree() function which takes a pile of triangles as input and generates a kd-tree seems to run in O(N*log(N)) time as it should.

I've never drawn this type of plot before, and I was surprised at how close N*log(N) is to N - in a loglog plot they are almost equal!

This is a recursive function. I wonder if there's a good way of multi-threading recursive functions? My laptop is dual-core and a modern desktop PCs is likely a quad-core - so let's try to write these things multi-threaded from the start.

Next up is a function for doing the orthogonal range-search for triangles that lie under the tool. That's supposed to run in O(N^(1-1/D)+K) time, where D is the dimension of the tree and K is the number of reported triangles - so O(N^(3/4)+K) in this case. I'll try to get that done during the weekend.