Shaping regularization in geophysical-estimation problems

By Sergey Fomel. 2007

363 citations recorded by the source corpus.

Subfields: Computational Mechanics, Geophysics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/b6491a2ee131f4a9c721ac5ecc5fd3658a16cb04

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Xiaohong Chen
2. Guochang Liu
3. Yangkang Chen
4. Yang Liu
5. Cai Liu
6. Jing Du
7. Kailong Wu
8. Sergey Fomel

In Geophysics

1. Yangkang Chen
2. Xiaohong Chen
3. Guochang Liu
4. Yang Liu
5. Cai Liu
6. Sergey Fomel
7. Jing Du
8. Kailong Wu

In Ocean Engineering

1. Yangkang Chen
2. Xiaohong Chen
3. Guochang Liu
4. Yang Liu
5. Cai Liu
6. Sergey Fomel
7. Jing Du
8. Kailong Wu

Citations in the corpus

• Curvelet-based POCS interpolation of nonuniformly sampled seismic records (2012, background): “This has been noted by many researchers, such as Fomel (2007) in his shaping regularization.”
• Random noise attenuation using local signal-and-noise orthogonalization (2015, methodology): “Local seismic attributes measure seismic signal characteristics neither instantaneously, at each signal point, nor globally, across a data window, but locally in the neighborhood of each point (Fomel, 2007a).”
• Signal and noise separation in prestack seismic data using velocity-dependent seislet transform (2015, methodology): “As follows from equation 6, the traveltime slopes σ ¼ dt∕dx in common-midpoint (CMP) gathers are given by σðt; xÞ ¼ x tðxÞv2ðt0; xÞ : (7) This calculation is reverse to the one used in NMO by velocity-independent imaging (Ottolini, 1983b; Fomel, 2007b).”
• Time-frequency analysis of seismic data using local attributes (2011, positive): “Shaping regularization (Fomel, 2007b) provides a particularly convenient method of enforcing smoothness in iterative optimization schemes.”
• Velocity analysis using AB semblance (2009, methodology): “To remove random oscillations, I smooth the picked trajectory using the method of shaping regularization (Fomel 2007).”
• Random noise attenuation using f-x regularized nonstationary autoregression (2012, methodology): “Shaping regularization Fomel (2007) provides a particularly convenient method of enforcing smoothness in iterative optimization schemes.”
• Local seismic attributes (2007, methodology): “A different approach to regularization follows from the shaping method (Fomel, 2006).”