Five-dimensional interpolation: Recovering from acquisition constraints

By Daniel Trad. 2009

243 citations recorded by the source corpus.

Subfields: Geophysics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/aff2ebb170536847d3cf3c7ff39717c0be71117b

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In Geophysics

In Ocean Engineering

Citations in the corpus

Seismic data interpolation and denoising in the frequency-wavenumber domain (2012, methodology): “Also, the current industrial multidimensional interpolation methods such as minimum weighted norm interpolation (MWNI) (Liu and Sacchi, 2004; Trad, 2009), anti-leakage Fourier transform (ALFT) (Xu et al., 2005), projection on convex sets (POCS) (Abma and Kabir, 2005), and multicomponent matching…”
Multidimensional simultaneous random plus erratic noise attenuation and interpolation for seismic data by joint low-rank and sparse inversion (2015, methodology): “Concerning the input data, the best results are obtained with NMO-corrected data (Trad, 2009).”
5D seismic data completion and denoising using a novel class of tensor decompositions (2015, methodology): “Some of the current approaches, such as in Trad (2009) and Kreimer and Sacchi (2012b), work the f-x domain in which the data completion is carried out separately over the 4D slices corresponding to each frequency.”
Seismic data restoration via data-driven tight frame (2014, background): “…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 transform (Hennenfent and Herrmann, 2008; Herrmann and…”
Interpolation and denoising of high-dimensional seismic data by learning a tight frame (2015, methodology): “Among the thirdclass, Fourier transform is the only method currently used in industrial applications (Zwartjes and Sacchi, 2007; Liu and Sacchi, 2004; Duijndam et al., 1999; Trad, 2009).”
Efficient matrix completion for seismic data reconstruction (2015, methodology): “Some of the methods require transforming the data into different domains, such as the Radon (Bardan, 1987; Kabir and Verschuur, 1995), Fourier (Duijndam et al., 1999; Sacchi et al., 1998; Curry, 2009; Trad, 2009) and curvelet domains (Herrmann and Hennenfent, 2008; Sacchi et al., 2009; Wang et al., ”
Tensor completion based on nuclear norm minimization for 5D seismic data reconstruction (2013, methodology): “Recently developed methods known as “5D Interpolation” are in fact based on 4D interpolators because the time or temporal frequency axis is always correctly sampled (Trad, 2009).”