I'm trying to find an R package that will smooth a line with the "polynomial
approximation with exponential kernel" or "PAEK" algorithm that is used in
ESRI's ArcGIS software.  I have a copy of the original paper that provides
the algorithm, but I'm not confident in how to code it.  The algorithm will
smooth a polyline's vertices at a user specified distance along the
polyline.  The paper refers to this as "smoothing with continuous local
weighted averaging."  Ultimately, I want to be able to bring in the X-Y
coordinates of the vertices into R and perform the smoothing.

Limited information on how the algorithm is used in ArcGIS is located here:

http://webhelp.esri.com/arcgisdesktop/9.2/index.cfm?TopicName=How%20Smooth%20Line%20(Data%20Management)%20works<http://webhelp.esri.com/arcgisdesktop/9.2/index.cfm?TopicName=How%20Smooth%20Line%20%28Data%20Management%29%20works>

The reference to the original paper is:

Bodansky, Eugene; Gribov, Alexander; and Pilouk, Morakot, "Smoothing and
Compression of Lines Obtained by Raster-to-Vector Conversion", LNCS 2390,
Springer, p. 256-265, 2002.

I have a PDF copy of the paper that I can send via email.  I appreciate any
information that will help me accomplish smoothing a line with this
algorithm, and/or a comparable one, in R.  Thanks.

CJ Jackson

Graduate Student
Department of Geology
University of Georgia

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