maybe this is outright simple - but does anyone know of any references for creating a quad mesh where each panel is planar? I am looking at the Architectural Geometry book (i think put out by Bentley) and there is an algorithm that was written by LIu that takes a mesh with non planar quads and generates one with planar ones.
The Architectural Geometry book is great, but is just a intro to Helmut Potman's research topics. I'd see if you could get some more of his actual papers, which go very in depth into these issues.
i was just about to hit send, on an email to him...when you say be careful - I'm slow - what do you mean? am infringing on his territory by wanting to explore this?
You might. I'm not entirely clear which patents he holds and to what extend they are prohibitive. I do know that it would be illegal for us to include any of his algorithms in standard Rhino, but maybe you're allowed to use them for non-commercial ends?
thanks David. It makes sense that you might want to keep this stuff proprietary - I have just always found ppl to be quite sharing...I guess there are tons of applications for its use and hence very valuable. As far as you or anyone else knows, has the research led to any tools or products on the market?
I guess the concept of planar quad meshes is absolutely fine to explore, but HOW you go about doing them is the question. It seems the algorithm he is implementing negotiates between the input mesh and the regularity of the quad. As long as you don't do it in the same way, then I suppose you are ok. If you want to read a bit on patenting algorithms and how it is that people get around the infringement part, look up the marching cubes algorithm.
What struck me most about Pottman's talk in Berlin last year was how he mentioned that mathematicians need problems, and he found that we architects have many geometrical problems...so in he comes, and writes a textbook.