The formulae are also in Landmark methods for forms without landmarks: morphometrics of group differences in outline shape, Medical Image Analysis, Volume 1, Issue 3, April 1997, Pages 225-243 Fred L. Bookstein available from www.sciencedirect.com if you have access.
Code and an algorithm are available from http://www.magic-software.com/Interpolation.html. The .pdf file entitled Thin Plate Splines on that page gives the algorithm and the names of the necessary files to download. To the best of my understanding a spline in 3D only considers bending energy in one direction, assuming corresponding landmarks to have the same positions with respect to the other two coordinates. To optimise the positions of semilandmarks the operation is implemented 3 times, i.e., in each direction. I am also unaware of what effective visualisations could be taken from such an analysis. Best regards, Ben Flood ([EMAIL PROTECTED]) -----Original Message----- From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] Sent: 01 October 2003 13:43 To: [EMAIL PROTECTED] Subject: Re: 3D Thin Plane Spline The relevant formulae are in Bookstein (1991) Morphometric Tools for Landmark Data: Geometry and Biology. Cambridge University Press (and other places). The only difference for 3D is U(r) = |r| and obvious adjustments to matrix sizes, etc. The more difficult problem is generating effective visualizations in 2D of volumetric transformations. -ds On Wed, 2003-10-01 at 08:16, [EMAIL PROTECTED] wrote: > Dear Morphometricians: > I need to program a 3D Thin Plane Spline analysis routine. > I would like information on this algorithm to program it from scratch. > Best regards > > == > Replies will be sent to list. > For more information see http://life.bio.sunysb.edu/morph/morphmet.html. -- Dennis E. Slice, Ph.D. Department of Biomedical Engineering Wake Forest University School of Medicine Winston-Salem, North Carolina, USA 27157-1022 Phone: 336-716-5384 Fax: 336-716-2870 =========================================================== This message is coming to you from [EMAIL PROTECTED] that serves both as the administrative account for morphmet and the support account for the Morpheus et al. software. For more information on how to use this mailing list see... http://life.bio.sunysb.edu/morph/morphmet.html For more information on Morpheus et al. visit... http://life.bio.sunysb.edu/morph/morpheus The Stony Brook morphmetrics site is a wealth of morphometric resources... http://life.bio.sunysb.edu/morph =========================================================== == Replies will be sent to list. For more information see http://life.bio.sunysb.edu/morph/morphmet.html == Replies will be sent to list. For more information see http://life.bio.sunysb.edu/morph/morphmet.html.
