Re: fit plane to xz axis of data

*To*: mathgroup at smc.vnet.net*Subject*: [mg89685] Re: fit plane to xz axis of data*From*: Ray Koopman <koopman at sfu.ca>*Date*: Wed, 18 Jun 2008 04:23:11 -0400 (EDT)*References*: <g30399$mes$1@smc.vnet.net>

On Jun 14, 2:33 am, will parr <willpower... at hotmail.com> wrote: > [...] > Additionally, is it possible to compute a vector running parallel > to the long side (long axis of the SVD plane) of the computed > plane, originating at the mean (centroid) of the data, with a > length of 1? > [...] v rotates the {x,y,z} axes to the principal axes of the centered data: (#-m&/@data).v == u.w , which contains the projections of the centered points onto their principal axes. u is orthonormal, and w is diagonal, so you want u[[All,1]] .