Simultaneous Reconstruction and Denoising of 5-D Seismic Data Using Damped Sparse Representation Based Projection Onto Convex Sets

2017 ◽  
Author(s):  
W. Huang ; University of California ◽  
Santa Cruz ◽  
R. Wang ◽  
H. Li ◽  
S. Zu ◽  
...  
Keyword(s):  
Sparse Representation ◽  
Seismic Data ◽  
Convex Sets ◽  
Projection Onto Convex Sets ◽  
Simultaneous Reconstruction

3D interpolation of irregular data with a POCS algorithm

Geophysics ◽  
2006 ◽  
Vol 71 (6) ◽  
pp. E91-E97 ◽  
Author(s):  
Ray Abma ◽  
Nurul Kabir
Keyword(s):  
Seismic Data ◽  
Convex Sets ◽  
Fourier Transforms ◽  
Higher Dimensions ◽  
Seismic Surveys ◽  
Projection Onto Convex Sets ◽  
Irregular Data ◽  
Restoration Method ◽  
The Cost

Seismic surveys generally have irregular areas where data cannot be acquired. These data should often be interpolated. A projection onto convex sets (POCS) algorithm using Fourier transforms allows interpolation of irregularly populated grids of seismic data with a simple iterative method that produces high-quality results. The original 2D image restoration method, the Gerchberg-Saxton algorithm, is extended easily to higher dimensions, and the 3D version of the process used here produces much better interpolations than typical 2D methods. The only parameter that makes a substantial difference in the results is the number of iterations used, and this number can be overestimated without degrading the quality of the results. This simplicity is a significant advantage because it relieves the user of extensive parameter testing. Although the cost of the algorithm is several times the cost of typical 2D methods, the method is easily parallelized and still completely practical.

Compressive sensing for seismic data reconstruction via fast projection onto convex sets based on seislet transform

2016 ◽  
Vol 130 ◽  
pp. 194-208 ◽  
Author(s):  
Shuwei Gan ◽  
Shoudong Wang ◽  
Yangkang Chen ◽  
Xiaohong Chen ◽  
Weiling Huang ◽  
...  
Keyword(s):  
Compressive Sensing ◽  
Seismic Data ◽  
Convex Sets ◽  
Data Reconstruction ◽  
Projection Onto Convex Sets ◽  
Seismic Data Reconstruction
Sign in / Sign up

Export Citation Format

Share Document