In article <[EMAIL PROTECTED]>, [EMAIL PROTECTED] (Vitaly Kupisk) wrote:
>Subject: Re: orthogonal linear regression >From: [EMAIL PROTECTED] (Vitaly Kupisk) >Organization: http://groups.google.com/ >Date: 4 Jan 2003 14:07:18 -0800 >Newsgroups: sci.stat.math,sci.stat.edu > >I have (tried to) express that geometric idea algebraically; yes, >geometrically I mean that the residuals are measured orthogonally to >the fitted hyperplane (I am not fitting a fancier hypersurface, so the >rotation for all residuals is the same, the angle between the "y" axis >and the normal to the fitted hyperplane, right?). The formula also >seems to match the one (formula (1)) in the Bargiela/Hartley paper, >www.doc.ntu.ac.uk/RTTS/Papers/rttg-publ02.ps. >If you see an error or know of a different-looking expression for the >orthogonal L1 distance, please let me know. > >I would also very much like to get more details on the "reweighted L2" >implementaion -- it seems close to what the Bargiela/Hartley paper is >talking about, which was my question that started the thread. Do you >have any references or a description of the method? Ask google! "iteratively reweighted least squares" gives 1520 hits. >Thanks, > >Vitaly > > >[EMAIL PROTECTED] (Gordon Sande) wrote in message >news:<[EMAIL PROTECTED]>... >> ... Given the rather uncertain terminology in use here, it >> might be the case that iterative reweighting with ODRPack will do >> your job as at first sight your definition does not match what I >> understand by the usual "orthogonal" regression. The usual >> "orthogonal" regression has a different rotation for each residual >> so the residual is orthogonal to the fitted curve. Maybe that is >> what you actually want but have not quite formulated it that way. . . ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at: . http://jse.stat.ncsu.edu/ . =================================================================
