Spatial aliasing and scale invariance |

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

mshole
Overcoming aliasing with multiscale fitting.
Figure 2. |
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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 3.

msiter
Large holes are filled faster with
multiscale operators.
Figure 3. | |
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Spatial aliasing and scale invariance |

2013-07-26