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Find inflection points using smooth.spline

Is there any way to identify or infer the inflection points in a smooth
spline object?  I am doing a comparison of various methods of time-series
analysis (polynomial regression, spline smoothing, recursive partitioning)
and I am specifically interested in obtaining the julian dates associated
with the inflection points inferred by the various models.

Tyler

e.g.  http://www.nabble.com/file/p22752459/smooth.spline.pdf
smooth.spline.pdf