Discrete Costa Surface

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Comment by Behnood Eghbali on October 5, 2012 at 11:34am

thx for sharing! very helpful!

Comment by Roig on October 5, 2012 at 4:05am

awesome¡¡ thanks4sharing

Comment by Daniel Piker on October 5, 2012 at 3:27am

For further reading :

http://page.math.tu-berlin.de/~sechel/DiplomaThesis.pdf

http://page.math.tu-berlin.de/~bobenko/MinimalCircle/minsurftalk.pdf

and 

S. Sechelmann, T. Roerig, and A. I. Bobenko. Quasiisothermic Mesh Layout. In Hesselgren, L.; Sharma, S.; Wallner, J.; Baldassini, N.; Bompas, P.; Raynaud, J. (Eds.). Advances in Architectural Geometry 2012. 2012, 344 p. 285 illus. in color. ISBN 978-3-7091-1250-2

 

I use a slightly different energy (which I'll write a post about soon), but to optimize towards the same condition.

Comment by Dedackelzucht on October 5, 2012 at 1:55am

Yeah! Awesome! Thanks for sharing!

Comment by Vangel Kukov on October 5, 2012 at 1:34am

Thanks for sharing!

Comment by Woong Ki Sung on October 4, 2012 at 11:51pm

Wow, this is awesome. Could you let me know where can I find references to understand the algorithm?

Comment by Daniel Piker on October 4, 2012 at 4:30pm

Yes, in theory this approach should work with many types of surface. The tricky part is initializing it with the right singularities though.

Comment by Behnood Eghbali on October 4, 2012 at 4:21pm

so you can create all types of minimal surfaces... this is really awesome ;)

Comment by Daniel Piker on October 4, 2012 at 3:59pm

and here's the definition:

http://dl.dropbox.com/u/26034251/quasiisothermic.gh

Comment by Daniel Piker on October 4, 2012 at 3:11pm

Here's the model if anyone is interested:

http://dl.dropbox.com/u/26034251/discrete_costa.3dm

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