Homework 4 |
An alternative to the optimization problem (5) is the
problem of minimizing
under the
constraint
The autocorrelation of the gradient filter
is the Laplacian filter, which can be represented as a five-point polynomial
inter1
Figure 9. Rainfall data interpolated using preconditioning with the inverse helical filter. |
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Figure 9 shows the interpolation result using conjugate-gradient optimization with equation (6) after 10 and 100 iterations. The corresponding correlation analysis is shown in Figure 10.
inter1-100-pred
Figure 10. Correlation between interpolated and true data values for preconditioning with 100 iterations. | |
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Homework 4 |