A Reconstruction Method for Gappy and Noisy Arterial Flow Data

Yakhot, Alexander; Anor, Tomer; Karniadakis, G. E.

doi:10.1109/tmi.2007.901991

Cited by 35 publications

(33 citation statements)

References 32 publications

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“…Subsequently, Gappy POD has shown substantial capabilities to accurately reconstruct physical processes from partial-field measurement data, especially for fluid flow problems [25][26][27][28][29], and has even been investigated for use in creating surrogate mappings (as described in Section 1) to solve design-type inverse problems [26].…”

Section: Gappy Proper Orthogonal Decompositionmentioning

confidence: 99%

A computationally efficient approach for inverse material characterization combining Gappy POD with direct inversion

Wang

Dutta

Kim

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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Section: Gappy Proper Orthogonal Decompositionmentioning

confidence: 99%

A computationally efficient approach for inverse material characterization combining Gappy POD with direct inversion

Wang

Dutta

Kim

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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“…November 23, 2016 uses the adjoint method for computationally efficient gradient calculations, to produce the final estimate of the material property distribution. The three-step ((1) Gappy POD, (2) direct inversion, and (3) gradient-based optimization) inverse characterization approach is evaluated through simulated test problems based on the characterization of elastic modulus distributions with localized variations (e.g., inclusions) within simple structures.…”

Section: Preprint Submitted To Computational Mechanicsmentioning

confidence: 99%

Section: Direct Inversion With Gappy Podmentioning

confidence: 99%

A generalized computationally efficient inverse characterization approach combining direct inversion solution initialization with gradient-based optimization

Wang

Brigham

2016

Comput Mech

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The nal publication is available at Springer via https://doi.org/10.1007/s00466-016-1362-3Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. AbstractA computationally efficient gradient-based optimization approach for inverse material characterization from incomplete system response measurements that can utilize a generally applicable parameterization (e.g., finite elementtype parameterization) is presented and evaluated. The key to this inverse characterization algorithm is the use of a direct inversion strategy with Gappy proper orthogonal decomposition (POD) response field estimation to initialize the inverse solution estimate prior to gradient-based optimization. Gappy POD is used to estimate the complete (i.e., all components over the entire spatial domain) system response field from incomplete (e.g., partial spatial distribution) measurements obtained from some type of system testing along with some amount of a priori information regarding the potential distribution of the unknown material property. The estimated complete system response is used within a physics-based direct inversion procedure with a finite element-type parameterization to estimate the spatial distribution of the desired unknown material property with minimal computational expense. Then, this estimated spatial distribution of the unknown material property is used to initialize a gradient-based optimization approach, which * Corresponding author Email addresses: mengyu_wang@meei.harvard.edu (Mengyu Wang), john.brigham@durham.ac.uk (John C. Brigham) Preprint submitted to Computational MechanicsNovember 23, 2016 uses the adjoint method for computationally efficient gradient calculations, to produce the final estimate of the material property distribution. The three-step ((1) Gappy POD, (2) direct inversion, and (3) gradient-based optimization) inverse characterization approach is evaluated through simulated test problems based on the characterization of elastic modulus distributions with localized variations (e.g., inclusions) within simple structures. Overall, this inverse characterization approach is shown to efficiently and consistently provide accurate inverse characterization estimates for material property distributions from incomplete response field measurements. Moreover, the solution procedure is shown to be capable of extrapolating significantly beyond the initial assumptions regarding the potential nature of the unknown material property distribution.

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“…As a first step, the artifacts and noise should be, if possible, identified and treated prior to using medical images for acquisition of clinical data. 36 To estimate if the suggested procedure can be used with relatively low time resolution imaging equipment we performed the following computations. We selected 800 time instants throughout the cycle and assumed Fig.…”

Section: Pod In the Clinical Settingmentioning

confidence: 99%

Analyzing Transient Turbulence in a Stenosed Carotid Artery by Proper Orthogonal Decomposition

2009

Self Cite

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High-resolution three-dimensional simulations (involving 100 million degrees of freedom) were employed to study transient turbulent flow in a carotid arterial bifurcation with a stenosed internal carotid artery (ICA). The geometrical model was reconstructed from MRI images, and in vivo velocity measurements were incorporated in the simulations to provide inlet and outlet boundary conditions. Due to the high degree of the ICA occlusion and the variable flow rate, a transitional and intermittent flow between laminar and turbulent states was established. Time- and space-window proper orthogonal decomposition (POD) was applied to quantify the different flow regimes in the occluded artery. A simplified version of the POD analysis that utilizes 2D slices only--more appropriate in the clinical setting--was also investigated.

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A Reconstruction Method for Gappy and Noisy Arterial Flow Data

Cited by 35 publications

References 32 publications

A computationally efficient approach for inverse material characterization combining Gappy POD with direct inversion

A computationally efficient approach for inverse material characterization combining Gappy POD with direct inversion

A generalized computationally efficient inverse characterization approach combining direct inversion solution initialization with gradient-based optimization

Analyzing Transient Turbulence in a Stenosed Carotid Artery by Proper Orthogonal Decomposition

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