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Inverse Problems in Science and Engineering Volume 22, 2014 - Issue 8
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Articles

Approaches to accommodate noisy data in the direct solution of inverse problems in incompressible plane strain elasticity

U. AlbocherFaculty of Engineering, Tel Aviv University, Ramat Aviv, Israel
,
P.E. BarboneDepartment of Mechanical Engineering, Boston University, Boston, MA, USA
,
M.S. RichardsDepartment of Surgery, School of Medicine and Dentistry, University of Rochester, Rochester, NY, USA
,
A.A. OberaiDepartment of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA
&
I. HarariFaculty of Engineering, Tel Aviv University, Ramat Aviv, IsraelCorrespondence[email protected]
Pages 1307-1328 | Received 06 Nov 2012, Accepted 01 Dec 2013, Published online: 06 Jan 2014

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Lorraine G. Olson, Robert D. Throne, Adam J. Nolte, Allison Crump, Kaelyn Griffin, Tianhong Han, Nicolae Iovanac, Thomas Janssen, Michael Jones, Xiaoyin Ling & Michael Samp. (2019) An inverse problem approach to stiffness mapping for early detection of breast cancer: tissue phantom experiments. Inverse Problems in Science and Engineering 27:7, pages 1006-1037.
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Olalekan A. Babaniyi, Assad A. Oberai & Paul E. Barbone. (2017) Recovering vector displacement estimates in quasistatic elastography using sparse relaxation of the momentum equation. Inverse Problems in Science and Engineering 25:3, pages 326-362.
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Articles from other publishers (9)

Huiming Dong, Rizwan Ahmad, Renee Miller & Arunark Kolipaka. (2021) MR elastography inversion by compressive recovery. Physics in Medicine & Biology 66:16, pages 165001.
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Niusha Kheirkhah, Sergio C. H. Dempsey, Hassan Rivaz, Abbas Samani & Ali Sadeghi-Naini. (2020) A Tissue Mechanics Based Method to Improve Tissue Displacement Estimation in Ultrasound Elastography * . A Tissue Mechanics Based Method to Improve Tissue Displacement Estimation in Ultrasound Elastography * .
Cameron Hoerig, Jamshid Ghaboussi & Michael F. Insana. (2019) Data-Driven Elasticity Imaging Using Cartesian Neural Network Constitutive Models and the Autoprogressive Method. IEEE Transactions on Medical Imaging 38:5, pages 1150-1160.
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Daniel Fovargue, David Nordsletten & Ralph Sinkus. (2018) Stiffness reconstruction methods for MR elastography. NMR in Biomedicine 31:10, pages e3935.
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Olalekan A. Babaniyi, Assad A. Oberai & Paul E. Barbone. (2018) Direct error in constitutive equation formulation for inverse heat conduction problem. International Journal for Numerical Methods in Engineering 115:11, pages 1337-1352.
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Olalekan A. Babaniyi, Assad A. Oberai & Paul E. Barbone. (2017) Direct error in constitutive equation formulation for plane stress inverse elasticity problem. Computer Methods in Applied Mechanics and Engineering 314, pages 3-18.
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Arash Fathi, Babak Poursartip, Kenneth H. Stokoe II & Loukas F. Kallivokas. (2016) Three-dimensional P- and S-wave velocity profiling of geotechnical sites using full-waveform inversion driven by field data. Soil Dynamics and Earthquake Engineering 87, pages 63-81.
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Arash Fathi, Loukas F. Kallivokas & Babak Poursartip. (2015) Full-waveform inversion in three-dimensional PML-truncated elastic media. Computer Methods in Applied Mechanics and Engineering 296, pages 39-72.
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Mohit TyagiSevan GoenezenPaul E. BarboneAssad A. Oberai. (2014) Algorithms for quantitative quasi-static elasticity imaging using force data. International Journal for Numerical Methods in Biomedical Engineering 30:12, pages 1421-1436.
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