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example_optiminterp


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 Example program of the optimal interpolation toolbox



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 Example program of the optimal interpolation toolbox




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optiminterp1


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 -- Loadable Function: [FI,VARI] = optiminterp1(X,F,VAR,LENX,M,XI)
     Performs a local 1D-optimal interpolation (objective analysis).

     Every elements in F corresponds to a data point (observation) at location
     X,Y with the error variance VAR.

     LENX is correlation length in x-direction.  M represents the number of
     influential points.

     XI is the data points where the field is interpolated.  FI is the
     interpolated field and 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.


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Performs a local 1D-optimal interpolation (objective analysis).



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optiminterp2


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 -- Loadable Function: [FI,VARI] = optiminterp2(X,Y,F,VAR,LENX,LENY,M,XI,YI)
     Performs a local 2D-optimal interpolation (objective analysis).

     Every elements in F corresponds to a data point (observation) at location
     X,Y with the error variance VAR.

     LENX and LENY are correlation length in x-direction and y-direction
     respectively.  M represents the number of influential points.

     XI and YI are the data points where the field is interpolated.  FI is the
     interpolated field and 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.


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Performs a local 2D-optimal interpolation (objective analysis).



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optiminterp3


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 -- Loadable Function: [FI,VARI] =
          optiminterp3(X,Y,Z,F,VAR,LENX,LENY,LENZ,M,XI,YI,ZI)
     Performs a local 3D-optimal interpolation (objective analysis).

     Every elements in F corresponds to a data point (observation) at location
     X, Y, Z with the error variance var

     LENX,LENY and LENZ are correlation length in x-,y- and z-direction
     respectively.  M represents the number of influential points.

     XI,YI and ZI are the data points where the field is interpolated.  FI is
     the interpolated field and 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.


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Performs a local 3D-optimal interpolation (objective analysis).



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optiminterp4


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 -- Loadable Function: [FI,VARI] =
          optiminterp4(X,Y,Z,T,F,VAR,LENX,LENY,LENZ,LENT,M,XI,YI,ZI,TI)
     Performs a local 4D-optimal interpolation (objective analysis).

     Every elements in F corresponds to a data point (observation) at location
     X, Y, Z, T with the error variance var

     LENX,LENY,LENZ and LENT are correlation length in x-,y-,z-direction and
     time, respectively.  M represents the number of influential points.

     XI,YI,ZI and TI are the data points where the field is interpolated.  FI is
     the interpolated field and 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.


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Performs a local 4D-optimal interpolation (objective analysis).



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optiminterpn


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 -- Loadable Function: [FI,VARI] =
          optiminterpn(X,Y,...,F,VAR,LENX,LENY,...,M,XI,YI,...)
     Performs a local nD-optimal interpolation (objective analysis).

     Every elements in F corresponds to a data point (observation) at location
     X,Y,... with the error variance VAR.

     LENX,LENY,... are correlation length in x-direction y-direction,...
     respectively.  M represents the number of influential points.

     XI,YI,... are the data points where the field is interpolated.  FI is the
     interpolated field and 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.


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





