## [aefc8d]: inst / optiminterp2.m Maximize Restore History

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44``` ```## 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 3 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 . ## -*- texinfo -*- ## @deftypefn {Loadable Function} {[@var{fi},@var{vari}] = } optiminterp2(@var{x},@var{y},@var{f},@var{var},@var{lenx},@var{leny},@var{m},@var{xi},@var{yi}) ## Performs a local 2D-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} and @var{leny} are correlation length in x-direction ## and y-direction respectively. ## @var{m} represents the number of influential points. ## ## @var{xi} and @var{yi} 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 function [fi,vari] = optiminterp2(x,y,f,var,lenx,leny,m,xi,yi) [fi,vari] = optiminterpn(x,y,f,var,lenx,leny,m,xi,yi); endfunction ```