Mapping a shape between two triangles

Hi,

I've been trying to solve this by several approaches but couldn't fnd a way. I have a number of triangles with different proportions, and I'd like to map onto each one a reference shape I've drawn around a reference triangle.

The problem seems to be that the target triangles are generated by the three vertices as trimmed surfaces, and so if I use a bbox, the resulting box is not what I'd expect. Please see images attached.

All the examples I've found use four-sided cells. Is there any way to do this with triangles?

Attachments:

3.jpg, 13 KB
4.jpg, 51 KB
5.jpg, 37 KB

Replies to This Discussion

Permalink Reply by Daniel Piker on February 26, 2012 at 5:14pm

Will a cow do ?

(mesh from here http://liris.cnrs.fr/meshbenchmark/)

Attachments:

barycentric_springs.gh, 202 KB

Permalink Reply by Jacek Jaskólski on February 27, 2012 at 10:37am

Yeah, a toy-cow will do just fine.
Thinking about the possible uses of the mapping concept my mind got stuck on deforming/morphing. Thanks for un-stucking it with your collision detection idea!

Permalink Reply by taz on February 27, 2012 at 11:26am

heehe... The cow jiggles like jello!

Permalink Reply by Andrew Heumann on February 19, 2012 at 10:23pm

nice work!

Permalink Reply by Michael Pryor on February 27, 2012 at 1:19pm

is there any description about the transformation matrix component so I can understand what its doing?

Permalink Reply by San Tuta on February 23, 2012 at 1:54pm

Thanks a lot for all the replies. Now I have lots of homework to do... I'll post with more questions or (hopefully) success stories.

Permalink Reply by Pieter Segeren on February 27, 2012 at 12:40pm

Very interesting discussion guys!
Nice work Jacek and Daniel, the cow animation is awesome:)
I am so going to play with this info asap:) Thanks.

Permalink Reply by Matt Gaydon on May 23, 2012 at 11:06am

Hi Guys,

Interesting Tread, I have been trying to hack the code posted by Daniel so i can map a mesh form from one extruded rombus box to another but as soon as i rotate or move the target box in anyway the closest point logic seems to fail and the mesh form in side the box is destroyed.

Any thoughts

thanks matt