Add a useful package (from Source forge) for octave

[CreaPhase.git] / octave_packages / optiminterp-0.3.3 / optiminterp1.m

diff --git a/octave_packages/optiminterp-0.3.3/optiminterp1.m b/octave_packages/optiminterp-0.3.3/optiminterp1.m
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+## Copyright (C) 2006 Alexander Barth
+##
+## This program is free software; you can redistribute it and/or modify
+## it under the terms of the GNU General Public License as published by
+## the Free Software Foundation; either version 2 of the License, or
+## (at your option) any later version.
+##
+## This program is distributed in the hope that it will be useful,
+## but WITHOUT ANY WARRANTY; without even the implied warranty of
+## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+## GNU General Public License for more details.
+##
+## You should have received a copy of the GNU General Public License
+## along with this program; If not, see <http://www.gnu.org/licenses/>.
+
+## -*- texinfo -*-
+## @deftypefn {Loadable Function} {[@var{fi},@var{vari}]} = optiminterp1(@var{x},@var{f},@var{var},@var{lenx},@var{m},@var{xi})
+## Performs a local 1D-optimal interpolation (objective analysis).
+##
+## Every elements in @var{f} corresponds to a data point (observation)
+## at location @var{x},@var{y} with the error variance @var{var}.
+##
+## @var{lenx} is correlation length in x-direction.
+## @var{m} represents the number of influential points.
+##
+## @var{xi} is the data points where the field is
+## interpolated. @var{fi} is the interpolated field and @var{vari} is 
+## its error variance.
+##
+## The background field of the optimal interpolation is zero.
+## For a different background field, the background field
+## must be subtracted from the observation, the difference 
+## is mapped by OI onto the background grid and finally the
+## background is added back to the interpolated field.
+## @end deftypefn
+
+
+
+function [fi,vari] = optiminterp1(x,f,var,lenx,m,xi)
+
+[fi,vari] = optiminterpn(x,f,var,lenx,m,xi);