Off-the-grid low-rank matrix recovery: seismic data reconstruction
| Title | Off-the-grid low-rank matrix recovery: seismic data reconstruction |
| Publication Type | Conference |
| Year of Publication | 2016 |
| Authors | Oscar Lopez, Rajiv Kumar, Ozgur Yilmaz, Felix J. Herrmann |
| Conference Name | Canadian Mathematical Society Summer Meeting |
| Month | 06 |
| Keywords | CMS, matrix completion, matrix sensing, nonuniform discrete Fourier transform, nuclear-norm, Seismic data Interpolation |
| Abstract | This talk discusses a modified low-rank matrix recovery work-flow that admits unstructured observations. By incorporating a regularization operator which accurately maps structured data to unstructured data, into the nuclear-norm minimization problem, this approach is able to compensate for data irregularity. Furthermore, by construction this formulation yields output that is supported on a structured grid. Recovery error bounds are established for the methodology with matrix sensing and matrix completion numerical experiments including applications to seismic trace interpolation to demonstrate the potential of the approach. |
| Notes | (CMS, Edmonton, Alberta) |
| Presentation | |
| Citation Key | lopez2016CMSogl |