2017
DOI: 10.3390/app7050432
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Improved Ultrasonic Computerized Tomography Method for STS (Steel Tube Slab) Structure Based on Compressive Sampling Algorithm

Abstract: This paper developed a new ultrasonic computerized tomography (CT) method for damage inspections of a steel tube slab (STS) structure based on compressive sampling (CS). CS is a mathematic theory providing an approximate recovery for a sparse signal with minimal reconstruction error from under-sampled measurements. Considering the natural sparsity of the damage, CS algorithm is employed to image the defect in the concrete-filled steel tube of Shenyang Metro line 9 for reducing the work time. Thus, in the measu… Show more

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Cited by 14 publications
(11 citation statements)
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“…In this paper, the sparsest solution is solved by the ℓ1-minimization optimization algorithm as a convex optimization toolbox embedded in MATLAB (available at: http://cvxr.com/cvx/ ). It should be noted that the given CS algorithm would be more effective if a Lagrange multiplier was used in the imaging stage [ 31 , 32 ]; thereby, Eq ( 10 ) will change to Eq ( 11 ): where is the reconstructed slowness and λ is the Lagrange multiplier, which balances the ratio between the data misfit (‖ΘΔs − y‖ 2 ) and the model constraint (‖Δs‖ 1 ) in the optimization equation.…”
Section: Compressive Sampling Algorithmmentioning
confidence: 99%
“…In this paper, the sparsest solution is solved by the ℓ1-minimization optimization algorithm as a convex optimization toolbox embedded in MATLAB (available at: http://cvxr.com/cvx/ ). It should be noted that the given CS algorithm would be more effective if a Lagrange multiplier was used in the imaging stage [ 31 , 32 ]; thereby, Eq ( 10 ) will change to Eq ( 11 ): where is the reconstructed slowness and λ is the Lagrange multiplier, which balances the ratio between the data misfit (‖ΘΔs − y‖ 2 ) and the model constraint (‖Δs‖ 1 ) in the optimization equation.…”
Section: Compressive Sampling Algorithmmentioning
confidence: 99%
“…The higher the weights, the higher the impact of the input node. It is used for modeling on prediction or estimation of strength of capacity of structures [23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”
Section: Artificial Neural Network In Structural Engineering and Matementioning
confidence: 99%
“…There are many tomographic inversion algorithms based on the channel wave's travel time, including Back Projection Technique (BPT), Algebraic Reconstruction Technique (ART), Simultaneous Iterative Reconstructive Technique (SIRT), and Least Square QR-factorization (LSQR) (where Q is an orthogonal matrix and R is a triangular one) [15][16][17]. Among them, the SIRT algorithm is the most widely used in seismic tomography inversion, because it is more suitable for sparse, irregular, and low signal-to-noise ratio (SNR) measured data, and thus it is easy to add prior information [18][19][20].…”
Section: Introductionmentioning
confidence: 99%