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# optiminterpn

## PURPOSE

% Performs a local nD-optimal interpolation (objective analysis).

## SYNOPSIS

function [fi,vari] = optiminterpn(varargin)

## DESCRIPTION

% -*- texinfo -*-
% @deftypefn {Loadable Function} {[@var{fi},@var{vari}] = } optiminterpn(@var{x},@var{y},@var{...},@var{f},@var{var},@var{lenx},@var{leny},@var{...},@var{m},@var{xi},@var{yi},@var{...})
% Performs a local nD-optimal interpolation (objective analysis).
%
% Every elements in @var{f} corresponds to a data point (observation)
% at location @var{x},@var{y},@var{...} with the error variance @var{var}.
%
% @var{lenx},@var{leny},@var{...} are correlation length in x-direction
% y-direction,... respectively.
% @var{m} represents the number of influential points.
%
% @var{xi},@var{yi},@var{...} 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

## CROSS-REFERENCE INFORMATION

This function calls:
This function is called by:
• optiminterp1 % Performs a local 1D-optimal interpolation (objective analysis).
• optiminterp2 % Performs a local 2D-optimal interpolation (objective analysis).
• optiminterp3 % Performs a local 3D-optimal interpolation (objective analysis).
• optiminterp4 % Performs a local 4D-optimal interpolation (objective analysis).

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