- 1.
- Refining a model mesh improves accuracy.
- 2.
- Refining a model mesh makes empty bins.
- 3.
- Empty bins spoil analysis.
- 4.
- If there are not too many empty bins we can find a PEF.
- 5.
- With a PEF we can fill the empty bins.
- 6.
- To get the PEF and to fill bins we need enough equations.
- 7.
- Scale-invariance introduces more equations.

Figure 2

Additionally, when we have a PEF, often we still cannot find missing data because conjugate-direction iterations do not converge fast enough (to fill large holes). Multiscale convolutions should converge quicker because they are like mesh-refinement, which is quick. An example of these concepts is shown in Figure .

msiter90
Large holes are filled faster with
multiscale operators.
Figure 3 |

4/27/2004