Interpolation using Hankel tensor completion (2013)

PreviousNext No AccessSEG Technical Program Expanded Abstracts 2013Interpolation using Hankel tensor completionAuthors: Stewart TrickettLynn BurroughsAndrew MiltonStewart TrickettCGG, Lynn BurroughsCGG, and Andrew MiltonCGGhttps://doi.org/10.1190/segam2013-0416.1 SectionsAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract We present a novel multidimensional seismic trace interpolator that works on constant-frequency slices. It performs completion on Hankel tensors whose order is twice the number of spatial dimensions. Completion is done by fitting a PARAFAC model using an Alternating Least Squares algorithm. The new interpolator runs quickly and can better handle large gaps and high sparsity than existing completion methods. Permalink: https://doi.org/10.1190/segam2013-0416.1FiguresReferencesRelatedDetailsCited byAn Accelerated Proximal Gradient Algorithm for Hankel Tensor Completion8 June 2022 | Journal of the Operations Research Society of China, Vol. 1A fast algorithm for low-rank Hankel tensor completion28 February 2022 | SCIENTIA SINICA Mathematica, Vol. 52, No. 6Unsupervised deep learning with higher-order total-variation regularization for multidimensional seismic data reconstructionThomas André Larsen Greiner, Jan Erik Lie, Odd Kolbjørnsen, Andreas Kjelsrud Evensen, Espen Harris Nilsen, Hao Zhao, Vasily Demyanov, and Leiv-J. Gelius31 December 2021 | GEOPHYSICS, Vol. 87, No. 2Adaptive Rank Selection for Tensor Ring DecompositionIEEE Journal of Selected Topics in Signal Processing, Vol. 15, No. 3Tubal-Sampling: Bridging Tensor and Matrix Completion in 3-D Seismic Data ReconstructionIEEE Transactions on Geoscience and Remote Sensing, Vol. 59, No. 1Matrix and Tensor Completion in Multiway Delay Embedded Space Using Tensor Train, With Application to Signal ReconstructionIEEE Signal Processing Letters, Vol. 27Massive 3D seismic data compression and inversion with hierarchical TuckerYiming Zhang, Curt Da Silva, Rajiv Kumar, and Felix Herrmann17 August 2017A paradigm shift in marine seismic: Broadband full-offset full-azimuth 4-C acquisition with midwater stationary cableLuc Haumonté and Michel Manin17 August 2017Acquisition, Survey Design, and Unmanned Geophysical Systems Complete Session17 August 2017Full-Waveform Inversion I Complete Session17 August 2017A piecewise linear threshold model for five-dimensional interpolation of seismic data using POCS methodJohana Pinilla, Adrien Etcheverlepo, and German Ojeda1 September 2016Seismic Processing: Data Reconstruction and Multiples Complete Session1 September 2016Computing Extreme Eigenvalues of Large Scale Hankel Tensors4 January 2016 | Journal of Scientific Computing, Vol. 68, No. 2Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensorsJournal of Computational and Applied Mathematics, Vol. 302Multidimensional simultaneous random plus erratic noise attenuation and interpolation for seismic data by joint low-rank and sparse inversionRaphael Sternfels, Ghislain Viguier, Regis Gondoin, and David Le Meur15 October 2015 | GEOPHYSICS, Vol. 80, No. 6Efficient matrix completion for seismic data reconstructionRajiv Kumar, Curt Da Silva, Okan Akalin, Aleksandr Y. Aravkin, Hassan Mansour, Benjamin Recht, and Felix J. Herrmann5 August 2015 | GEOPHYSICS, Vol. 80, No. 55D seismic data completion and denoising using a novel class of tensor decompositionsGregory Ely, Shuchin Aeron, Ning Hao, and Misha E. Kilmer8 June 2015 | GEOPHYSICS, Vol. 80, No. 4 SEG Technical Program Expanded Abstracts 2013ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2013 Pages: 5258 Publisher:Society of Exploration Geophysicists HistoryPublished Online: 19 Aug 2013 CITATION INFORMATION Stewart Trickett, Lynn Burroughs, and Andrew Milton, (2013), "Interpolation using Hankel tensor completion," SEG Technical Program Expanded Abstracts : 3634-3638. https://doi.org/10.1190/segam2013-0416.1 Plain-Language Summary PDF DownloadLoading ...