Antileakage Fourier transform for seismic data regularization

By Sheng Xu, Yu Zhang, D. Pham, G. Lambaré. 2005

347 citations recorded by the source corpus.

Subfields: Computer Vision and Pattern Recognition, Geophysics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/61598c422f4dc37acedb81a2cea5ce45727422f2

How researchers see this paper

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

In Computer Vision and Pattern Recognition

In Geophysics

In Ocean Engineering

Citations in the corpus

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”
Constrained least-squares spectral analysis: Application to seismic data (2012, methodology): “In a method related to the Vaníček method, Xu et al. (2005) derive an algorithm for reducing leakage of spatial spectra by iteratively solving for and subtracting the most energetic wavenumber components from the signal.”
Seismic data interpolation and denoising in the frequency-wavenumber domain (2012, methodology): “Schonewille et al. (2009) utilized dip information of the low frequencies in the f-k domain to introduce an anti-alias ALFT interpolation method.”
Seismic data reconstruction via matrix completion (2013, background): “Fourier transform ([1], [2], [3], [4]), curvelet transform ([5], [6], [7]) and shearlet transform ([8]).”
Simply denoise: Wavefield reconstruction via jittered undersampling (2008, methodology): “Despite the extra computational cost for the interpolation, continuous random sampling typically leads to improved interpolation results because it does not create coherent undersampling artifacts (Xu et al., 2005).”
Seismic data restoration via data-driven tight frame (2014, methodology): “…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 transform (Hennenfent…”
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…”
Comparison of methods for extracting ADCIGs from RTM (2014, methodology): “The LPWD method uses the most energetic wavenumber either by setting a threshold of the minimum energy of a wavenumber in the whole wavefield in the frequency/wavenumber domain, or by the ALFT in small local windows (Xu et al., 2011), whereas the LSIC method uses all wavenumbers.”
Seislet transform and seislet frame (2010, methodology): “Certain methods for seismic data regularization, such as the anti-leakage Fourier transform (Xu et al., 2005), the Fourier reconstruction method (Zwartjes and Gisolf, 2006, 2007; Zwartjes and Sacchi, 2007), or POCS (Abma and Kabir, 2006) rely on the ability to represent signals sparsely in the trans”
Non-parametric seismic data recovery with curvelet frames (2008, methodology): “... in the geophysical literature with applications that include “spiky deconvolution” (Taylor et al., 1979; Oldenburg et al., 1981; Ulrych and Walker, 1982; Levy et al., 1988; Sacchi et al., 1994) analyzed by mathematicians (Santosa and Symes, 1986; Donoho and Logan, 1992) to Fourier and Radon tran”
Interpolation and denoising of high-dimensional seismic data by learning a tight frame (2015, methodology): “Other Fourier methods, like the generalized methods such as FGFT (fast generalized Fourier transform) (Naghizadeh and Innanen, 2011) and ALFT (anti-leakage Fourier transform)(Xu et al., 2005) were also used for interpolation problem.”