Seislet transform and seislet frame

By Sergey Fomel, Yang Liu. 2010

363 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computer Vision and Pattern Recognition, Geophysics

View Paper: https://www.semanticscholar.org/paper/96b4190f9c272fde63a367b4ad4540c0ea0053bb

How researchers see this paper

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

In Applied Mathematics

1. Jianwei Ma
2. Yangkang Chen
3. Xiaoqun Zhang
4. Mauricio D. Sacchi
5. Jingwei Liang
6. Weilin Huang
7. Shuwei Gan
8. Xiaohong Chen

In Computer Vision and Pattern Recognition

1. Jianwei Ma
2. Siwei Yu
3. Xiaohong Chen
4. Xiaoqun Zhang
5. Yangkang Chen
6. Mauricio D. Sacchi
7. Shuchin Aeron
8. Misha Elena Kilmer

In Geophysics

1. Jianwei Ma
2. Yangkang Chen
3. Xiaohong Chen
4. Xiaoqun Zhang
5. Siwei Yu
6. Jingwei Liang
7. Yang Liu
8. Mauricio D. Sacchi

Citations in the corpus

• Signal and noise separation in prestack seismic data using velocity-dependent seislet transform (2015, methodology): “To assure that different wavefield components do not leak into other parts of the frame, it is advantageous to use a sparsity-promoting inversion (Fomel and Liu, 2010).”
• Iterative deblending of simultaneous-source seismic data using seislet-domain shaping regularization (2014, methodology): “Fomel and Liu (2010) propose a sparsity-promoting transform called seislet transform.”
• Seismic data restoration via data-driven tight frame (2014, background): “…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 Hennenfent, 2008; Naghizadeh and…”
• Damped multichannel singular spectrum analysis for 3D random noise attenuation (2015, background): “…et al., 2016), Karhunen-Loeve transform (Jones and Levy, 1987), sparse transform domain thresholding strategies (Donoho, 1995; Neelamani et al., 2008; Fomel and Liu, 2010; Chen et al., 2014, 2016) and Cadzow filtering (Trickett, 2008; Trickett and Burroughs, 2009) or multichannel singular…”
• 5D seismic data completion and denoising using a novel class of tensor decompositions (2015, background): “R ed is tr ib ut io n su bj ec t t o SE G li ce ns e or c op yr ig ht ; s ee T 2010) and other domains such as the curvelet (Hennenfent and Herrmann, 2006; Herrmann and Hennenfent, 2008; Naghizadeh and Sacchi, 2010a), seislets (Fomel and Liu, 2010), and Radon (Kabir and Verschuur, 1995).”
• Structure-oriented singular value decomposition for random noise attenuation of seismic data (2015, background): “The fourth is based on a transformed domain thresholding strategy (Neelamani et al., 2008; Fomel and Liu, 2010; Chen et al., 2014a).”
• Compressive sensing for seismic data reconstruction via fast projection onto convex sets based on seislet transform (2016, methodology): “The seislet transform was proposed in Fomel and Liu (2010).”
• Interpolation and denoising of high-dimensional seismic data by learning a tight frame (2015, background): “Taking the slopes of seismic events into consideration, seislet transform (Fomel and Liu, 2010) is proposed for seismic data interpolation.”