that makes the problem four dimensional: for each considered point, there is also an axis of relevance to the consideration.
--- On Fri, 4/20/12, andy pugh <bodge...@gmail.com> wrote: > From: andy pugh <bodge...@gmail.com> > Subject: Re: [Emc-users] Trajectory planning and other topics from a > EMC(LinuxCNC) newbie (TheNewbie) > To: "Enhanced Machine Controller (EMC)" <emc-users@lists.sourceforge.net> > Date: Friday, April 20, 2012, 1:44 AM > On 20 April 2012 07:53, Viesturs > Lācis <viesturs.la...@gmail.com> > wrote: > > The only thing I do not get, is how to do the reverse > math - describe > > a line, if (a lot of) points on it are provided. It > does not seem to > > be problem finding formulas on the web to calculate a > coordinates of a > > point on a described line. But reversing that seems > difficult. > > It is relatively straightforward to convert a series of > points to a 3D > polynomial (a least-squares curve fit will do it) > > However, that returns a polynomial, which isn't an arc or a > line. Then > there is the question of what subset of all the points > should be > fitted at any one time. > > -- > atp > The idea that there is no such thing as objective truth is, > quite simply, wrong. > > ------------------------------------------------------------------------------ > For Developers, A Lot Can Happen In A Second. > Boundary is the first to Know...and Tell You. > Monitor Your Applications in Ultra-Fine Resolution. Try it > FREE! > http://p.sf.net/sfu/Boundary-d2dvs2 > _______________________________________________ > Emc-users mailing list > Emc-users@lists.sourceforge.net > https://lists.sourceforge.net/lists/listinfo/emc-users > ------------------------------------------------------------------------------ For Developers, A Lot Can Happen In A Second. Boundary is the first to Know...and Tell You. Monitor Your Applications in Ultra-Fine Resolution. Try it FREE! http://p.sf.net/sfu/Boundary-d2dvs2 _______________________________________________ Emc-users mailing list Emc-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/emc-users
