San Tuta's Page

"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…"

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

"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."

"heehe...  The cow jiggles like jello!"

"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!"

"Will a cow do ? (mesh from here http://liris.cnrs.fr/meshbenchmark/)"

"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. ST"

"nice work!"

"Rhino4.0 compatible version of the above definition attached."

"I finally managed to put together a very simple VB.Net script which does it: Definition attached. Unfortunately it works only on Rhino5, because it uses the matrix class and Rhino4 seems to have a problem with that. Now when I'm writing this I…"

"Ok, so barycentric point mapping in 2d is easy. Attached a definition if anyone is interrested. It follows the logic of the wikipedia article mentioned above.I can see how this can be done extended to 3d "tetrahedral" mapping . But I…"

"Hi Jacek, interesting idea. I think yes, in 3d it would make more sense to work with barycentric coordinates on tetrahedra, rather than just triangles. The wikipedia page says this is just a question of inverting a 3x3 matrix. So then…"

"Hi Daniel,I understand how barycentric coordinates could be used to map points from one "triangle-space" to another. Do you think the concept could be useful to define the general transformation matrix also?I mean what I would like to do…"

"It seems like barycentric coordinates might be useful for this. It should be possible to put together a GH definition for this from the description here : http://mathworld.wolfram.com/BarycentricCoordinates.html "

"I answered to a similar problem there. Perhaps it can help. Jacek's solution looks nicer though."

"I've just realised the first sentence in my previous post came out silly, since I first heard about affine transformations just minutes ago when I read the wikipedia article, and I'm not going to pretend  I understand any math…"