Conclusion

Hypercomplex methods in general, and quaternionic in particular, offer numerous and diverse possibilities for geophysical purposes. This method is easy to implement and runs quickly and is efficient for time lapse analysis. Although the edge detection application does a reasonable job, it has not been as effective for shallow features as expected. The time lapse analysis offers an innovative way to quantitatively evaluated changes over time. As well, image disparity estimation has, thus far, have been unsuccessful on raw data. It was hoped to find boundaries or real of data and create an envelope to help remove noise. In future works, this technique may be extended to three dimensions or applied to other applications such as velocity model comparisons.