Minimum weighted norm interpolation of seismic records

By B. Liu, Mauricio D. Sacchi. 2004

415 citations recorded by the source corpus.

Subfields: Computational Mechanics, Geophysics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a74267142fcd14c4c8d19992bd304a80e064d62c

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

In Geophysics

In Mathematical Physics

Citations in the corpus

Multistep autoregressive reconstruction of seismic records (2007, methodology): “In this case the Fourier coefficients of the irregularly sampled data are retrieved by inverting the inverse Fourier operator with a band limiting (Duijndam et al., 1999) and/or a sparsity constraint (Sacchi et al., 1998; Liu and Sacchi, 2004; Zwartjes and Gisolf, 2006).”
Curvelet-based POCS interpolation of nonuniformly sampled seismic records (2012, methodology): “Sparseness-constrained Fourier reconstruction was also successfully applied to the irregularly sampled seismic data, using least-squares criterion and minimum (weighted) norm constraint (Liu and Sacchi, 2004; Wang, 2003; Zwartjes and Gisolf, 2007; Zwartjes and Sacchi, 2007).”
A fast reduced-rank interpolation method for prestack seismic volumes that depend on four spatial dimensions (2013, methodology): “…transform (Bardan, 1987; Darche, 1990; Kabir and Verschuur, 1995), the Fourier transform (Duijndam et al., 1999; Hindriks and Duijndam 2000; Liu and Sacchi, 2004; Xu et al., 2005; Zwartjes and Sacchi, 2007; Trad, 2009; Curry, 2010), and localized transforms (Herrmann andHennenfent, 2008; Sacchi et…”
Interferometric interpolation of missing seismic data (2009, methodology): “There are many methods for interpolation, such as the Fourier method (Liu and Sacchi, 2004), Radon transform (Trad, 2004) and filterbased methods (Spitz, 1991; Curry, 2006), but most do not take full advantages of the redundant information in data.”
Seismic data reconstruction via matrix completion (2013, background): “Fourier transform ([1], [2], [3], [4]), curvelet transform ([5], [6], [7]) and shearlet transform ([8]).”
Tensor completion based on nuclear norm minimization for 5D seismic data reconstruction (2013, methodology): “Interpolation of prestack seismic data can attenuate artifacts that arise from improper wavefield sampling (Liu and Sacchi, 2004; Biondi, 2006).”
Seismic data restoration via data-driven tight frame (2014, methodology): “…transform domain, such as the Radon transform (Kabir and Verschuur, 1995; Trad et al., 2002), Fourier transform (Sacchi et al., 1998; Gulunay, 2003; Liu and Sacchi, 2004; Xu et al., 2005; Abma and Kabir, 2006; Trad, 2009), seislet transform (Fomel and Liu, 2010; Liu and Fomel, 2010), and curvelet…”
5D seismic data completion and denoising using a novel class of tensor decompositions (2015, methodology): “Numerous methods exploit compactness in the frequency-space (f-x) domain (Duijndam et al., 1999; Hindriks and Duijndam, 2000; Liu and Sacchi, 2004; Xu et al., 2005; Zwartjes and Sacchi, 2007; Trad, 2009; Curry, Manuscript received by the Editor 1 October 2014; revised manuscript received 26 March…”
Multidimensional simultaneous random plus erratic noise attenuation and interpolation for seismic data by joint low-rank and sparse inversion (2015, methodology): “More specific methods addressing the problem of recovery from incomplete data include Fourier-based techniques such as the minimum weighted-norm interpolation (MWNI) (Liu and Sacchi, 2004; Trad, 2009) and the antileakage Fourier transform (ALFT), which handles irregularly sampled data by honoring th”
Non-parametric seismic data recovery with curvelet frames (2008, background): “The MOF forms the cornerstone of many results obtained in sampling theory (Duffin and Scheaffer, 1952) and seismic data regularization (Liu and Sacchi, 2004).”