Theory and practice of interpolation in the pyramid domain |

**Antoine Guitton and Jon Claerbout**

With the pyramid transform, 2-D dip spectra can be characterized by
1-D prediction-error filters (pefs) and 3-D dip spectra by 2-D
pefs. This transform takes data from -space to data in
-space using a simple mapping procedure that leaves
empty locations in the pyramid domain. Missing data in -space
create even more empty bins in -space.
We propose a multi-stage least-squares approach where both
unknown pefs and missing data are estimated. This approach is tested
on synthetic and field data examples where aliasing and irregular
spacing are present.

- Introduction
- Theory: introducing the pyramid transform

- Algorithm for missing data interpolation

- Examples

- Conclusion
- acknowledgments
- Bibliography
- About this document ...

2009-10-19