Have a code of curve interpolation that I wrote a while back but I can't recall where I got the algorithm and now I have a doubt if I got the name right. <http://forum.openscad.org/file/t602/181029_study_what_interpolation.png> For a line consists of P,Q,R,S, it goes like : 1) bisect the Q,R to make angleBisect point, Bi and Bj, respectively 2) Draw lines vertical to QBi and RBj 3) Get two handlers, Hi and Hj 4) Calc the blue line What type of interpolation is this called? ----- $ Runsun Pan, PhD $ libs: scadx , doctest , faces ( git ), offline doc ( git ), runscad.py ( 2 , git ), editor of choice: CudaText ( OpenSCAD lexer );&nbsp;$ Tips ;&nbsp;$ Snippets -- Sent from: http://forum.openscad.org/

I not sure I completely understand your explanation of the algorithm but it seems similar to the construction of a Bezier curve to me. Hans On Mon, Oct 29, 2018 at 1:22 PM runsun <runsun@gmail.com> wrote: > Have a code of curve interpolation that I wrote a while back but I can't > recall where I got the algorithm and now I have a doubt if I got the name > right. > <http://forum.openscad.org/file/t602/181029_study_what_interpolation.png> > > For a line consists of P,Q,R,S, it goes like : > > 1) bisect the Q,R to make angleBisect point, Bi and Bj, respectively > 2) Draw lines vertical to QBi and RBj > 3) Get two handlers, Hi and Hj > 4) Calc the blue line > > What type of interpolation is this called? > > > > ----- > > $ Runsun Pan, PhD $ libs: scadx , doctest , faces ( git ), offline doc ( > git ), runscad.py ( 2 , git ), editor of choice: CudaText ( OpenSCAD lexer > );&nbsp;$ Tips ;&nbsp;$ Snippets > > -- > Sent from: http://forum.openscad.org/ > > _______________________________________________ > OpenSCAD mailing list > Discuss@lists.openscad.org > http://lists.openscad.org/mailman/listinfo/discuss_lists.openscad.org >

Did you refer to the picture I attached with the algorithm ? I have been thinking it's a Bezier, too, but not sure. Note that if it is constructed iterating pair-wise through an entire series of points, the resultant curve would pass through all the points. ----- $ Runsun Pan, PhD $ libs: scadx , doctest , faces ( git ), offline doc ( git ), runscad.py ( 2 , git ), editor of choice: CudaText ( OpenSCAD lexer );&nbsp;$ Tips ;&nbsp;$ Snippets -- Sent from: http://forum.openscad.org/