(3) |

(4) |

In Claerbout (1999), Figure 13 is generated by estimating both the missing data and unknown filter at the same time. I added a data-space weight as above and got the results in Figure 14. Notice it almost calculates the same filter. It does not completely fill in the missing data because we threw out many fitting equations.

misif90
Top is known data.
Middle includes the interpolated values.
Bottom is the filter with the leftmost point constrained
to be unity
and other points chosen to minimize output power.
Figure 13 |

misif90_2
Top is known data.
Middle includes the interpolated values.
Bottom is the filter with the leftmost point constrained
to be unity
and other points chosen to minimize output power but only throwing out fitting equations where the leftmost point lands on unknown data.
Figure 14 |

I have tested this only on simple 1D models, not yet on the Madagascar data. For the Madagascar data, the initial filter () may be the Laplacian.

6/8/2002