Challenge for Simple and hard matter, G2 nurbs curve Variable match

Hello , please check picture first ,

It is simple , we always use Rhino curve G2 match , it is fast because G1 points are same distance to G0

Now I hope G1 points to G0 distance are different (Variable match ) , then how to count G2 points position ?

I tried a lot and I asked some rhino expert too but it seems extreme hard . ( at least for me )

I have wrote a GH definition for G1 same distance work , now if some one interested to challenge variable match , please just draw two 5 degree nurbs curve to test . :-)

I have no idea because I am poor in calculus math , but I hope to some one help .

Attachments:

help.png, 608 KB

Replies to This Discussion

Permalink Reply by Winsion Liang on January 11, 2017 at 11:30pm

Hello , Tom ,

To the point where second derivate of curve A at p0 equals second derivate of B at q0.

I understand it need math of "derivate" , Just I don't know how to write it as code or GHuser .. So at present , I use galapagos to get similar position of G2-B

You can find my email address ? when I get test , I will send my GH file (Curve Match) for your reference too . Thanks

Permalink Reply by Winsion Liang on January 12, 2017 at 2:34am

Hello , Tom ,

Oh , you are ahead of me far away . :-)

No problem I just need small requirement , for example G1 G2 only .

Your Match curve is attractive , just I can not spend some weeks like you . I am quite busy on biz too .

AST.dll seems interesting , just same no time to touch too .

About ' the derivate of a nurbscurve ' , is it the same to use command "curvature" and mark the circle ?

Thanks

Permalink Reply by Winsion Liang on January 12, 2017 at 10:37pm

Hello Tom ,

Wow , it seems that you play a lot software , for me , Rhino + Grasshopper is enough . I like G2 smooth only , G3 is not necessary to me me .