acsplines smoothing

*To*: mathgroup at smc.vnet.net*Subject*: [mg33781] acsplines smoothing*From*: "Mazin M.A." <mazin at isp.kiev.ua>*Date*: Tue, 16 Apr 2002 03:50:32 -0400 (EDT)*References*: <a93b0m$phl$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Dear All, Please, recommend me the package for smoothing experimental data. It's necessary manually vary "degree" of smoothing - small at the region of peak and high at the tails. The dimension list of data - from 2000 to 10000 points. It's may be similarly "acsplines" from "GNUPLOT". Below I adduce some words from documentation on "GNUPLOT" ... _______________________________ -- ACSPLINES -- The `acsplines` option approximates the data with a "natural smoothing spline". After the data are made monotonic in x (see `smooth unique`), a curve is piecewise constructed from segments of cubic polynomials whose coefficients are found by the weighting the data points; the weights are taken from the third column in the data file. Qualitatively, the absolute magnitude of the weights determines the number of segments used to construct the curve. If the weights are large, the effect of each datum is large and the curve approaches that produced by connecting consecutive points with natural cubic splines. If the weights are small, the curve is composed of fewer segments and thus is smoother; the limiting case is the single segment produced by a weighted linear least squares fit to all the data. _______________________________ -- National Academy of Sciences of the Ukraine Institute of Semiconductor Physics www.isp.kiev.ua Best regards, Dr. Mikhail Mazin mailto:mazin at isp.kiev.ua -- Best regards, Dr. Mazin M. mailto:mazin at isp.kiev.ua