Re: Tangent Space vs. Shape Space

2007-12-10 Thread morphmet
[The following was submitted by Dr. Fred L. Bookstein in response to the query posted by Dr. Thomas M. Greiner. It follows with some requested editing and reformatting by me. -the morphmet moderator (dslice)] Procrustes distance is one of a large family of occasionally reasonable measures that per

Re: Tangent Space vs. Shape Space

2007-12-09 Thread morphmet
Dear Prof. Greiner, I leave answers to your interesting questions to statisticians. I have a certainly simplistic view of the tangent space projection. The way I see it is just as a way to have data in an Euclidean space where standard statistics can be performed. Most of the time this is perfect

RE: Tangent Space vs. Shape Space

2007-12-09 Thread morphmet
I would like to clarify a few points. There is no 'shape space projection'. Shapes are points in Kendall's shape space. As Thomas points out it is a curved space. Standard multivariate analyses assume linear spaces so one usually tries to approximate shape space by mapping from shape space to a li

RE: Tangent Space

2005-04-07 Thread F. James Rohlf
If you have saved the consensus configuration from the prior GPA, then all you need to do is to align the new specimen with that consensus configuration. --- F. James Rohlf, Distinguished Professor State University of New York, Stony Brook, NY 11794-5245 www: http://life.bio.su