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pdl::fit::gaussian(3pm) [debian man page]

Gaussian(3pm)						User Contributed Perl Documentation					     Gaussian(3pm)

NAME
PDL::Fit::Gaussian - routines for fitting gaussians DESCRIPTION
This module contains some custom gaussian fitting routines. These were developed in collaboration with Alison Offer, they do a reasonably robust job and are quite useful. Gaussian fitting is something I do a lot of, so I figured it was worth putting in my special code. Note it is not clear to me that this code is fully debugged. The reason I say that is because I tried using the internal linear eqn solving C routines called elsewhere and they were giving erroneous results. So steal from this code with caution! However it does give good fits to reasonable looking gaussians and tests show correct parameters. KGB 29/Oct/2002 SYNOPSIS
use PDL; use PDL::Fit::Gaussian; ($cen, $pk, $fwhm, $back, $err, $fit) = fitgauss1d($x, $data); ($pk, $fwhm, $back, $err, $fit) = fitgauss1dr($r, $data); FUNCTIONS
fitgauss1d Fit 1D Gassian to data piddle ($cen, $pk, $fwhm, $back, $err, $fit) = fitgauss1d($x, $data); ($cen, $pk, $fwhm, $back, $err, $fit) = fitgauss1d($x, $data); xval(n); data(n); [o]xcentre();[o]peak_ht(); [o]fwhm(); [o]background();int [o]err(); [o]datafit(n); [t]sig(n); [t]xtmp(n); [t]ytmp(n); [t]yytmp(n); [t]rtmp(n); Fits a 1D Gaussian robustly free parameters are the centre, peak height, FWHM. The background is NOT fit, because I find this is generally unreliable, rather a median is determined in the 'outer' 10% of pixels (i.e. those at the start/end of the data piddle). The initial estimate of the FWHM is the length of the piddle/3, so it might fail if the piddle is too long. (This is non-robust anyway). Most data does just fine and this is a good default gaussian fitter. SEE ALSO: fitgauss1dr() for fitting radial gaussians fitgauss1dr Fit 1D Gassian to radial data piddle ($pk, $fwhm2, $back, $err, $fit) = fitgauss1dr($r, $data); ($pk, $fwhm2, $back, $err, $fit) = fitgauss1dr($r, $data); xval(n); data(n); [o]peak_ht(); [o]fwhm(); [o]background();int [o]err(); [o]datafit(n); [t]sig(n); [t]xtmp(n); [t]ytmp(n); [t]yytmp(n); [t]rtmp(n); Fits a 1D radial Gaussian robustly free parameters are the peak height, FWHM. Centre is assumed to be X=0 (i.e. start of piddle). The background is NOT fit, because I find this is generally unreliable, rather a median is determined in the 'outer' 10% of pixels (i.e. those at the end of the data piddle). The initial estimate of the FWHM is the length of the piddle/3, so it might fail if the piddle is too long. (This is non-robust anyway). Most data does just fine and this is a good default gaussian fitter. SEE ALSO: fitgauss1d() to fit centre as well. BUGS
May not converge for weird data, still pretty good! AUTHOR
This file copyright (C) 1999, Karl Glazebrook (kgb@aaoepp.aao.gov.au), Gaussian fitting code by Alison Offer (aro@aaocbn.aao.gov.au). All rights reserved. There is no warranty. You are allowed to redistribute this software / documentation under certain conditions. For details, see the file COPYING in the PDL distribution. If this file is separated from the PDL distribution, the copyright notice should be included in the file. perl v5.14.2 2012-05-30 Gaussian(3pm)

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Polynomial(3)						User Contributed Perl Documentation					     Polynomial(3)

NAME
PDL::Fit::Polynomial - routines for fitting with polynomials DESCRIPTION
This module contains routines for doing simple polynomial fits to data SYNOPSIS
$yfit = fitpoly1d $data; FUNCTIONS
fitpoly1d Fit 1D polynomials to data using min chi^2 (least squares) Usage: ($yfit, [$coeffs]) = fitpoly1d [$xdata], $data, $order, [Options...] Signature: (x(n); y(n); [o]yfit(n); [o]coeffs(order)) Uses a standard matrix inversion method to do a least squares/min chi^2 polynomial fit to data. Order=2 is a linear fit (two parameters). Returns the fitted data and optionally the coefficients. One can thread over extra dimensions to do multiple fits (except the order can not be threaded over - i.e. it must be one fixed scalar number like "4"). The data is normalised internally to avoid overflows (using the mean of the abs value) which are common in large polynomial series but the returned fit, coeffs are in unnormalised units. $yfit = fitpoly1d $data,2; # Least-squares line fit ($yfit, $coeffs) = fitpoly1d $x, $y, 4; # Fit a cubic $fitimage = fitpoly1d $image,2 # Fit a quadratic to each row of an image $myfit = fitpoly1d $line, 2, {Weights => $w}; # Weighted fit Options: Weights Weights to use in fit, e.g. 1/$sigma**2 (default=1) BUGS
May not work too well for data with large dynamic range. SEE ALSO
"polyfit" in PDL::Slatec AUTHOR
This file copyright (C) 1999, Karl Glazebrook (kgb@aaoepp.aao.gov.au). All rights reserved. There is no warranty. You are allowed to redistribute this software documentation under certain conditions. For details, see the file COPYING in the PDL distribution. If this file is separated from the PDL distribution, the copyright notice should be included in the file. perl v5.12.1 2009-12-29 Polynomial(3)
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