## Copyright (C) 2007 Aida Alvera-Azcárate ## ## 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}] = } optiminterp4(@var{x},@var{y},@var{z},@var{t},@var{f},@var{var},@var{lenx},@var{leny},@var{lenz},@var{lent},@var{m},@var{xi},@var{yi},@var{zi},@var{ti}) ## Performs a local 4D-optimal interpolation (objective analysis). ## ## Every elements in @var{f} corresponds to a data point (observation) ## at location @var{x}, @var{y}, @var{z}, @var{t} with the error variance var ## ## @var{lenx},@var{leny},@var{lenz} and @var{lent} are correlation length in x-,y-,z-direction and time, ## respectively. ## @var{m} represents the number of influential points. ## ## @var{xi},@var{yi},@var{zi} and @var{ti} are 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. ## ## The error variance of the background field is assumed to ## have a error variance of one. ## @end deftypefn ## Copyright (C) 2007 Aida Alvera-Azcárate ## Author: Aida Alvera-Azcárate <aalvera@marine.usf.edu> ## Author: Alexander Barth <abarth@marine.usf.edu> function [fi,vari] = optiminterp4(x,y,z,t,f,var,lenx,leny,lenz,lent,m,xi,yi,zi,ti) [fi,vari] = optiminterpn(x,y,z,t,f,var,lenx,leny,lenz,lent,m,xi,yi,zi,ti);

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