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algorithmic modeling for Rhino

San Tuta
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San Tuta's Discussions

Mapping a shape between two triangles
20 Replies

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…Continue

Started this discussion. Last reply by Matt Gaydon May 23, 2012.

Multiple points in brep-line intersection
1 Reply

Hi All, I am doing a script that imports a cloud of points, then draws lines between the points and lofts surfaces betwen lines. Another section generates a series of lines from the inside of the…Continue

Started this discussion. Last reply by Danny Boyes Jun 17, 2011.

 

San Tuta's Page

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Matt Gaydon replied to San Tuta's discussion Mapping a shape between two triangles
"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…"
May 23, 2012
Michael Pryor replied to San Tuta's discussion Mapping a shape between two triangles
"is there any description about the transformation matrix component so I can understand what its doing?"
Feb 27, 2012
Pieter Segeren replied to San Tuta's discussion Mapping a shape between two triangles
"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."
Feb 27, 2012
taz replied to San Tuta's discussion Mapping a shape between two triangles
"heehe...  The cow jiggles like jello!"
Feb 27, 2012
Jacek Jaskólski replied to San Tuta's discussion Mapping a shape between two triangles
"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!"
Feb 27, 2012
Daniel Piker replied to San Tuta's discussion Mapping a shape between two triangles
"Will a cow do ? (mesh from here http://liris.cnrs.fr/meshbenchmark/)"
Feb 26, 2012
San Tuta replied to San Tuta's discussion Mapping a shape between two triangles
"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"
Feb 23, 2012
Andrew Heumann replied to San Tuta's discussion Mapping a shape between two triangles
"nice work!"
Feb 19, 2012
Jacek Jaskólski replied to San Tuta's discussion Mapping a shape between two triangles
"Rhino4.0 compatible version of the above definition attached."
Feb 19, 2012
Jacek Jaskólski replied to San Tuta's discussion Mapping a shape between two triangles
"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…"
Feb 19, 2012
Jacek Jaskólski replied to San Tuta's discussion Mapping a shape between two triangles
"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…"
Feb 19, 2012
Daniel Piker replied to San Tuta's discussion Mapping a shape between two triangles
"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…"
Feb 18, 2012
Jacek Jaskólski replied to San Tuta's discussion Mapping a shape between two triangles
"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…"
Feb 18, 2012
Daniel Piker replied to San Tuta's discussion Mapping a shape between two triangles
"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 "
Feb 18, 2012
Systemiq replied to San Tuta's discussion Mapping a shape between two triangles
"I answered to a similar problem there. Perhaps it can help. Jacek's solution looks nicer though."
Feb 18, 2012
Jacek Jaskólski replied to San Tuta's discussion Mapping a shape between two triangles
"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…"
Feb 17, 2012

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