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
laplace
Figure 9. Impulse response of the five-point Laplacian filter (a) gets inverted by recursive filtering (polynomial division) on a helix. (b) Division by . (c) Division by . (d) Division by . |
---|
inter1
Figure 10. Rainfall data interpolated using preconditioning with the inverse helical filter. |
---|
Figure 10 shows the interpolation result using conjugate-gradient optimization with equation (6) after 10 and 100 iterations. The corresponding correlation analysis is shown in Figure 11.
inter1-100-pred
Figure 11. Correlation between interpolated and true data values for preconditioning with 100 iterations. | |
---|---|
Homework 4 |