Hello,

I need to summarize a three-dimensional dataset through a principal surface 
that passes through the middle of the data. Principal surfaces are non-linear 
generalization of the plane created by the first two principal components and 
provide a non-linear summary of p-dimensional dataset. Principal surfaces are 
described in this 1989 article by Hastie and Stuetzle: 
https://web.stanford.edu/~hastie/Papers/Principal_Curves.pdf . They were 
introduced by Trevor Hastie in his Ph.D dissertation: 
http://www.slac.stanford.edu/cgi-wrap/getdoc/slac-r-276.pdf

I'm looking for a package to fit principal surfaces with R.
I've come across the package princurve created by TrevorHastie, but it allows 
to fit principal curves only. How can I fit two-dimensional principal surfaces 
in R?

Thank you.

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