Per Christian Hansen
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Mathematics
Per Christian Hansen's Degrees
- PhD Mathematics Technical University of Denmark
Why Is Per Christian Hansen Influential?
(Suggest an Edit or Addition)Per Christian Hansen's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve (1992) (3603)
- The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems (1993) (2773)
- Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion (1987) (2736)
- Rank-Deficient and Discrete Ill-Posed Problems (1996) (1896)
- REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems (1994) (1616)
- Tikhonov Regularization and Total Least Squares (1999) (837)
- Discrete Inverse Problems: Insight and Algorithms (2010) (802)
- Regularization Tools version 4.0 for Matlab 7.3 (2007) (716)
- Regularization methods for large-scale problems (1993) (578)
- Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank (1990) (478)
- Deblurring Images: Matrices, Spectra and Filtering (2006) (444)
- Numerical tools for analysis and solution of Fredholm integral equations of the first kind (1992) (437)
- The truncatedSVD as a method for regularization (1987) (364)
- The discrete picard condition for discrete ill-posed problems (1990) (305)
- AIR Tools - A MATLAB package of algebraic iterative reconstruction methods (2012) (302)
- Reduction of broad-band noise in speech by truncated QSVD (1995) (253)
- Regularization by Truncated Total Least Squares (1997) (214)
- Some Applications of the Rank Revealing QR Factorization (1992) (202)
- Variable neighbourhood search for extremal graphs (1999) (193)
- Least Squares Data Fitting with Applications (2012) (187)
- Deconvolution and Regularization with Toeplitz Matrices (2002) (173)
- Algorithms and software for total variation image reconstruction via first-order methods (2009) (170)
- An adaptive pruning algorithm for the discrete L-curve criterion (2007) (160)
- Regularization,GSVD and truncatedGSVD (1989) (146)
- Sound source reconstruction using inverse boundary element calculations. (2003) (143)
- IR Tools: a MATLAB package of iterative regularization methods and large-scale test problems (2017) (141)
- Exploiting Residual Information in the Parameter Choice for Discrete Ill-Posed Problems (2006) (134)
- AIR Tools II: algebraic iterative reconstruction methods, improved implementation (2018) (127)
- Deblurring Images: Matrices, Spectra, and Filtering (Fundamentals of Algorithms 3) (Fundamentals of Algorithms) (2006) (125)
- Solution of Ill-Posed Problems by Means of Truncated SVD (1988) (121)
- Implementation of an optimal first-order method for strongly convex total variation regularization (2011) (118)
- The Modified Truncated SVD Method for Regularization in General Form (1992) (112)
- A Projection-Based Approach to General-Form Tikhonov Regularization (2007) (105)
- Computing Truncated Singular Value Decomposition Least Squares Solutions by Rank Revealing QR-Factorizations (1990) (88)
- Wind tunnel test on wind turbine airfoil with adaptive trailing edge geometry (2007) (88)
- FIR filter representations of reduced-rank noise reduction (1998) (86)
- Iterative regularization with minimum-residual methods (2007) (79)
- Analysis of depth resolution in potential-field inversion (2005) (76)
- A Matlab Package for Analysis and Solution of Discrete Ill-Posed Problems (2008) (74)
- An improved transpiration method for the measurement of very low vapor pressures (1986) (70)
- Semi-convergence and relaxation parameters for a class of SIRT algorithms (2010) (70)
- L-Curve Curvature Bounds via Lanczos Bidiagonalization (2001) (69)
- A tensor-based dictionary learning approach to tomographic image reconstruction (2015) (66)
- Subspace Preconditioned LSQR for Discrete Ill-Posed Problems (2003) (65)
- A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems (1992) (61)
- Low-rank revealing QR factorizations (1994) (60)
- Semi-convergence properties of Kaczmarz’s method (2014) (60)
- A look-ahead Levinson algorithm for general Toeplitz systems (1992) (58)
- Smoothing-Norm Preconditioning for Regularizing Minimum-Residual Methods (2006) (55)
- The effective condition number applied to error analysis of certain boundary collocation methods (1994) (54)
- UTV Tools: Matlab templates for rank-revealing UTV decompositions (1999) (53)
- Wind tunnel test on airfoil Riso-B1-18 with an Active Trailing Edge Flap (2010) (49)
- Computation of the singular value expansion (1988) (49)
- Subspace-Based Noise Reduction for Speech Signals via Diagonal and Triangular Matrix Decompositions: Survey and Analysis (2007) (49)
- Low-rank revealing UTV decompositions (1997) (48)
- Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms (2012) (48)
- Efficient wave-function matching approach for quantum transport calculations (2008) (48)
- Structure-Preserving and Rank-Revealing QR-Factorizations (1991) (46)
- Regularization Tools Version 3.0 for Matlab 5.2 (1999) (46)
- Regularizational tools - A MATLAB package for analysis and solution of discrete ill-posed problems: Version 3.0 for MATLAB 5.2 (1998) (44)
- Multilevel Fast Multipole Method for Higher Order Discretizations (2014) (43)
- Noise propagation in regularizing iterations for image deblurring (2008) (43)
- Exponential Data Fitting and Its Applications (2018) (43)
- Prewhitening for rank-deficient noise in subspace methods for noise reduction (2005) (38)
- Accuracy of TSVD solutions computed from rank-revealing decompositions (1995) (37)
- Two-Dimensional Rotorcraft Downwash Flow Field Measurements by Lidar-Based Wind Scanners with Agile Beam Steering (2014) (37)
- A hybrid method for the parallel computation of Green's functions (2009) (35)
- Krylov subspace method for evaluating the self-energy matrices in electron transport calculations (2008) (34)
- Test Matrices for Regularization Methods (1995) (33)
- Piecewise Polynomial Solutions Without a priori Break Points (1996) (33)
- Accelerated gradient methods for total-variation-based CT image reconstruction (2011) (32)
- High-definition velocity-space tomography of fast-ion dynamics (2016) (32)
- Block tridiagonal matrix inversion and fast transmission calculations (2008) (30)
- Generalized singular value decomposition analysis of helioseismic inversions (1993) (28)
- Modular Regularization Algorithms (2004) (28)
- Perturbation bounds for discrete Tikhonov regularisation (1989) (28)
- Application of short-range dual-Doppler lidars to evaluate the coherence of turbulence (2016) (27)
- Generalized row-action methods for tomographic imaging (2013) (26)
- Multicore Performance of Block Algebraic Iterative Reconstruction Methods (2014) (25)
- Relations between SVD and GSVD of Discrete regularization problems in standard and general form (1990) (24)
- A computationally efficient tool for assessing the depth resolution in large-scale potential-field inversion (2014) (24)
- Reconstruction of Single-Grain Orientation Distribution Functions for Crystalline Materials (2009) (23)
- Oblique projections and standard‐form transformations for discrete inverse problems (2013) (23)
- Computing Symmetric Rank-Revealing Decompositions via Triangular Factorization (2001) (23)
- Alpha-particle velocity-space diagnostic in ITER (2018) (23)
- The 2-norm of random matrices (1988) (23)
- Efficient implementations of the SOLA mollifier method (1997) (23)
- Electrical impedance tomography: 3D reconstructions using scattering transforms (2012) (21)
- Limited-data x-ray CT for underwater pipeline inspection (2018) (20)
- Convergence analysis for column-action methods in image reconstruction (2017) (19)
- Neutron diffraction determination of magnetic order in holmium trifluoride, HoF3 (1990) (19)
- EMPIRICAL AVERAGE-CASE RELATION BETWEEN UNDERSAMPLING AND SPARSITY IN X-RAY CT. (2012) (19)
- "Fast" Linear Prediction and Its Application to NMR Spectroscopy (1994) (18)
- Signal Processing VII: Theories and Applications (1994) (17)
- Regularization and the general Gauss-Markov linear model (1990) (16)
- Further studies of the enhanced nuclear magnet HoVO4 - I. The crystal field and the Zeeman spectrum (1988) (16)
- Simultaneous tomographic reconstruction and segmentation with class priors (2016) (15)
- Experimental comparison of signal subspace based noise reduction methods (1999) (15)
- Methods and Applications of Inversion (2000) (15)
- Boundary Control of Linear Evolution PDEs - Continuous and Discrete (2004) (15)
- Stabilization Algorithms for Large-Scale Problems (2006) (15)
- An SVD analysis of linear algebraic equations derived from first kind integral equations (1985) (15)
- Tomographic image reconstruction using training images (2015) (14)
- Rank-deficient prewhitening with quotientSVD andULV decompositions (1998) (14)
- FORTRAN subroutines for general Toeplitz systems (1992) (13)
- Unmatched Projector/Backprojector Pairs: Perturbation and Convergence Analysis (2018) (13)
- Spectral hole burning and optically detected nuclear quadrupole resonance in flux-grown stoichiometric europium vanadate crystals (1997) (13)
- 12MW Horns Rev experiment (2007) (13)
- Large-Scale Methods in Image Deblurring (2006) (13)
- Sound source reconstruction using inverse BEM (2001) (12)
- Implementation of QR Up- and Downdating on a Massively Parallel Computer (1995) (12)
- UTV Expansion Pack: Special-purpose rank-revealing algorithms (2005) (12)
- Suppression of reflections by directive probes in spherical near-field measurements (1984) (12)
- Computing segmentations directly from x-ray projection data via parametric deformable curves (2018) (11)
- Optical fluorescence excitation spectra of flux-grown stoichiometric europium vanadate crystals (1993) (11)
- On Implementing a Homogeneous Interior-Point Algorithm for Nonsymmetric Conic Optimization (2011) (11)
- The Hipparcos mission. Pre-launch status. Volume III: The data reductions. (1989) (11)
- Rotational image deblurring with sparse matrices (2014) (10)
- The Backus-Gilbert method: SVD analysis and fast implementation (1994) (10)
- Improving the numerical stability and the performance of a parallel sparse solver (1995) (10)
- Regularization algorithms based on total least squares (1997) (10)
- Analysis of electrically large antennas using fast Physical Optics (2015) (10)
- R3GMRES: including prior information in GMRES-type methods for discrete inverse problems (2014) (10)
- Towards multi-exponential analysis in optically stimulated luminescence (2010) (9)
- A Computationally Efficient Tool for Assessing the Depth Resolution in Potential-Field Inversion (2014) (9)
- Quantitative study of undersampled recoverability for sparse images in computed tomography (2012) (9)
- Fixing Nonconvergence of Algebraic Iterative Reconstruction with an Unmatched Backprojector (2019) (9)
- Tomography of the positive-pitch fast-ion velocity distribution in DIII-D plasmas with Alfvén eigenmodes and neoclassical tearing modes (2020) (9)
- A systolic implementation of the Chan/Foster RRQR algorithm (1994) (9)
- Eu 3+ optically detected nuclear quadrupole resonance in stoichiometric europium vanadate (1992) (8)
- Tomographic Image Reconstruction using Dictionary Priors (2015) (8)
- Special issue on linear algebra in signal and image processing - Preface (2004) (8)
- Reducing the number of sweeps in Hestenes' method (1989) (8)
- 5. Direct Regularization Methods (1998) (8)
- Noise reduction of speech signals using the rank-revealing ULLV decomposition (1996) (8)
- Toward optimal X-ray flux utilization in breast CT (2011) (8)
- Total Variation and Tomographic Imaging from Projections (2011) (8)
- Truncated VSV Solutions to Symmetric Rank-Deficient Problems (2002) (7)
- A Hybrid Gibbs Sampler for Edge-Preserving Tomographic Reconstruction with Uncertain View Angles (2021) (7)
- Assessment of Wind Conditions at a Fjord Inlet by Complementary Use of Sonic Anemometers and Lidars (2015) (7)
- Fast-ion velocity-space tomography using slowing-down regularization in EAST plasmas with co- and counter-current neutral beam injection (2020) (7)
- Tycho star recognition (1992) (7)
- Piecewise polynomial solutions to linear inverse problems (1996) (7)
- Mobile network architecture of the long-range WindScanner system (2016) (6)
- Minimization of Linear Functionals Defined on Solutions of Large-Scale Discrete Ill-Posed Problems (2005) (6)
- Improved Multilevel Fast Multipole Method for Higher-Order discretizations (2014) (6)
- Helicopter downwash measured by continuous-wave Doppler lidars with agile beam steering (2012) (6)
- A block algorithm for computing rank-revealing QR factorizations (1992) (6)
- Paa2 Deliverable Apparc Esprit Contract a Strassen-type Matrix Inversion Algorithm (1993) (6)
- A locally optimized reordering algorithm and its application to a parallel sparse linear system solver (1995) (6)
- Joint CT Reconstruction and Segmentation With Discriminative Dictionary Learning (2018) (6)
- Application of lidars for assessment of wind conditions on a bridge site (2015) (5)
- A Parallel Sparse QR-Factorization Algorithm (1995) (5)
- Computed Tomography Reconstruction with Uncertain View Angles by Iteratively Updated Model Discrepancy (2020) (5)
- 3. The Blurring Function (2006) (5)
- AIR Tools - A MATLAB Package of Algebraic Iterative Reconstruction Techniques: Version 1.0 for Matlab 7.8 (2010) (5)
- A direct numerical reconstruction algorithm for the 3D Calderón problem (2011) (5)
- Solving sparse linear least-squares problems on some supercomputers by using large dense blocks (1997) (5)
- MCMC Algorithms for Computational UQ of Nonnegativity Constrained Linear Inverse Problems (2020) (4)
- Validation of noise propagation models against detailed flow and acoustic measurements (2020) (4)
- Tycho astrometry calibration (1992) (4)
- Reflector antenna analysis using physical optics on Graphics Processing Units (2014) (4)
- Iterative image reconstruction for CT with unmatched projection matrices using the generalized minimal residual algorithm (2022) (4)
- Computed tomography with view angle estimation using uncertainty quantification (2021) (4)
- Adaptive grouping for the higher‐order multilevel fast multipole method (2014) (4)
- GMRES Methods for Tomographic Reconstruction with an Unmatched Back Projector (2021) (4)
- Deblurring Images Matrices , Spectra and Filtering Additional Material (2006) (4)
- Hybrid enriched bidiagonalization for discrete ill‐posed problems (2019) (4)
- 6. Regularization by Spectral Filtering (2006) (3)
- The LINPACK benchmark in Co-Array Fortran (2000) (3)
- Oblique projections, pseudoinverses, and standard-form transformations (2004) (3)
- 5. Getting Serious: Choosing the Regularization Parameter (2010) (3)
- Ambiguity and Depth Resolution in Potential Field Inversion (2007) (3)
- A Signal Subspace Approach for Noise Reduction of Speech Signals (1994) (3)
- Ulv-Based Signal Subspace Methods For Speech Enhancement (1997) (3)
- Northern Sewerage Project - Liner Selection in a Corrosive Environment (2008) (3)
- A spectral geometric model for Compton single scatter in PET based on the single scatter simulation approximation (2018) (3)
- Erratum to: Convergence analysis for column-action methods in image reconstruction (2017) (3)
- Reduction of general broad-band noise in speech by truncated QSVD: Implementation aspects (1995) (3)
- Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography (2021) (3)
- 4. Problems with Ill-Determined Rank (1998) (2)
- A twin error gauge for Kaczmarz's iterations (2019) (2)
- Gaussian translation operator for Multi-Level Fast Multipole Method (2014) (2)
- A parameter‐choice method that exploits residual information (2007) (2)
- Noise robustness of a combined phase retrieval and reconstruction method for phase-contrast tomography. (2015) (2)
- A tensor-based dictionary learning approach to tomographic image reconstruction (2016) (2)
- 2. Decompositions and Other Tools (1998) (2)
- SYMMETRIC RANK REVEALING FACTORIZATIONS (1999) (2)
- Erratum: A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems (1993) (2)
- 8. Regularization Tools (1998) (2)
- "Plug-and-Play" Edge-Preserving Regularization (2014) (2)
- Stabilization by Perturbation of a 4n2 Toeplitz Solver (2000) (2)
- Detection of near-singularity in Cholesky and LDL T factorizations (1987) (2)
- 1. Introduction and Motivation (2010) (1)
- 7. Parameter-Choice Methods (1998) (1)
- Two Exponential Models for Optically Stimulated Luminescence (2010) (1)
- Least Squares Solution of Linear Systems (2006) (1)
- A Coarse-Grained Parallel QR-Factorization Algorithm for Sparse Least Squares Problems (1998) (1)
- 4. Structured Matrix Computations (2006) (1)
- Reordering of Sparse Matrices for Parallel Processing (1994) (1)
- Reduced-rank noise reduction: A filter-bank interpretation (1996) (1)
- 1. Setting the Stage (2019) (1)
- 5. SVD and Spectral Analysis (2006) (1)
- 6. Toward Real-World Problems: Iterative Regularization (2010) (1)
- EUSIPCO'96: Signal Processing VIII : Theories and Applications (1996) (1)
- Uncertainty Quantification of Inclusion Boundaries in the Context of X-ray Tomography (2021) (1)
- 7. Regularization Methods at Work: Solving Real Problems (2010) (1)
- Comparison of Parallel Computers Using Air Pollution Models (1995) (1)
- 3. Getting to Business: Discretizations of Linear Inverse Problems (2010) (1)
- 4. Computational Aspects: Regularization Methods (2010) (1)
- Horseshoe priors for edge-preserving linear Bayesian inversion (2022) (1)
- Filter Model of Reduced-Rank Noise Reduction (1996) (1)
- Corrigendum: Algorithm 729: FORTRAN subroutines for general Toeplitz systems (1994) (1)
- NUCLEAR QUADRUPOLE HOLEBURNING IN PREPARATION-DEPENDENT EuVO4 (1988) (1)
- Numerical Approximation of Boundary Control for the Wave Equation - with Application to an Inverse Problem (2009) (1)
- On Speech Enhancement Algorithms Based on Signal Subspace Methods (1998) (1)
- A Simplified Approach to Geometric Control (1984) (1)
- Experience With the KSR-1 Parallel ComputerC (1994) (1)
- 6. Iterative Regularization Methods (1998) (1)
- Wind measurements with drone-based wind lidars (2019) (0)
- Chapter 3: Just Enough Linear Algebra (2021) (0)
- 1. The Image Deblurring Problem (2006) (0)
- Local Adaptive Bilateral Filter with Variation for Deblurring (2020) (0)
- IR Tools: a MATLAB package of iterative regularization methods and large-scale test problems (2018) (0)
- Deformable Curves for Outlining Objects Directly From Projections (2018) (0)
- A Systolic Implementation of the Chanmoster RRQR Algorithm (1994) (0)
- Canonical filters and rank-reduction algorithms (2000) (0)
- Computing low-dimensional signal subspaces (1994) (0)
- Implementation of an optimal first-order method for strongly convex total variation regularization (2011) (0)
- A Parameter Choice Method for Simultaneous Reconstruction and Segmentation (2015) (0)
- Chapter 9: Discretization Models and the System Matrix (2021) (0)
- Smoothing-norm preconditioning for GMRES (2004) (0)
- Closing the gap between single-crystal and powder diffraction (2008) (0)
- A Spectral Geometrical Model for Compton Scatter Tomography Based on the SSS Approximation (2016) (0)
- Robust Computed Tomography with Incomplete Data (2015) (0)
- Computed Tomography Reconstruction with Uncertain View Angles by Iteratively Updated Model Discrepancy (2020) (0)
- Designing a Control System for the Shell Problem (1990) (0)
- A Convex Programming Approach to Anisotropic Smoothing (2007) (0)
- Erratum to: Convergence analysis for column-action methods in image reconstruction (2016) (0)
- RECENT DEVELOPMENTS IN RANK REVEALING AND LANCZOS METHODS FOR TLS-RELATED PROBLEMS (2002) (0)
- Chapter 7: Singular Values and Functions of the Radon Transform (2021) (0)
- Evaluation of Design Methods for Geometric Control (1985) (0)
- Symmetric Rank-Revealing Decompositions (1999) (0)
- Higher-Order Basis Functions Applied to the Inverse Method of Moments for Inverse-Source Problems (2012) (0)
- Parallel Issues of Regularization Problems (1994) (0)
- Obituary: Jens Hugger 1958–2016 (2016) (0)
- Two Enhancements in a Partitioned Sparse Code (1994) (0)
- Ecient implementations of the SOLA mollier method (1997) (0)
- 3D Inversion of Potential Fields with Depth Resolution (2001) (0)
- A Tool for Analysing Depth Resolution in Potential-field Inversion (2013) (0)
- Chapter 11: Algebraic Iterative Reconstruction Methods (2021) (0)
- ON SPEECH ENHANCEMENT ALGORITHMS BASED ON SIGNALSUBSPACE METHODSPeter (2007) (0)
- Publisher's Note: Krylov subspace method for evaluating the self-energy matrices in electron transport calculations [Phys. Rev. B 77, 155301 (2008)] (2008) (0)
- A Tool for Analysing Depth Resolution in Potential-field Inversion - Application to the Neapolitan Volcanic Area (2014) (0)
- Comparison of Reconstruction Methods for Free-Space Propagation Phase-Contrast Tomography (2015) (0)
- L-ULV(A), a low-rank revealing ULV algorithm (1995) (0)
- A lanczos algorithm for computing the largest quotient singular values in regularization problems (1995) (0)
- Obituary: Jens Hugger 1958–2016 (2016) (0)
- Computational properties of algorithmes for multi-level inversion of 3-D potential fields (2002) (0)
- 3. Methods for Rank-Deficient Problems (1998) (0)
- Reconstructing the fast-ion velocity distribution in the DIII-D tokamak during Alfvén eigenmode activity (2019) (0)
- A systolic rank revealing QR algorithm (1992) (0)
- LBAS: Lanczos Bidiagonalization with Subspace Augmentation for Discrete Inverse Problems (2017) (0)
- AIR Tools II: algebraic iterative reconstruction methods, improved implementation (2017) (0)
- Image Deblurring with Krylov Subspace Methods (2011) (0)
- Convergence analysis for column-action methods in image reconstruction (2016) (0)
- Relaxed Simultaneous Tomographic Reconstruction and Segmentation with Class Priors for Poisson Noise (2015) (0)
- DEBLURRING IN THE LIGHT OF DCT (2007) (0)
- Inverse Problems in Geosciences: Modelling the Rock Properties of an Oil Reservoir (2013) (0)
- 2. Manipulating Images in MATLAB (2006) (0)
- AIR Tools II (2017) (0)
- Comparison of Massively Parallel SIMD Computers Using Air Pollution Models (1994) (0)
- ULV-BASED SIGNAL SUBSPACE METHODS FOR SPEECHENHANCEMENTPeter (1997) (0)
- 8. Beyond the 2-Norm: The Use of Discrete Smoothing Norms (2010) (0)
- Rotational image deblurring with sparse matrices (2013) (0)
- Chapter 10: SVD Analysis of Tomography Problems (2021) (0)
- Generalized row-action methods for tomographic imaging (2013) (0)
- Integral Equation Modelling of Reverberation Chambers using Higher-Order Basis Functions (2014) (0)
- 2. Meet the Fredholm Integral Equation of the First Kind (2010) (0)
- IMPROVING THE NUMERICAL STABILITYAND THE PERFORMANCE OF APARALLEL SPARSE SOLVER (2007) (0)
- 94 A 08 , 49 N 45 ] — Deblurring images : Matrices , spectra , and filtering (2007) (0)
- A Look-Ahead Levinson Algorithm for General (1992) (0)
- 7. Color Images, Smoothing Norms, and Other Topics (2006) (0)
- Mobile Measurement of Methane and Ethane for the Detection and Attribution of Natural Gas Pipeline Leaks Using Off-Axis Integrated Output Spectroscopy (2015) (0)
- Cross-Cutting Activities 2016 on Wind Turbine Noise, Summary Report (2017) (0)
- Application of short-range dual-Doppler lidars to evaluate the coherence of turbulence (2016) (0)
- Analysis of log-amplitude saturation of noise emission from a loudspeaker on a wind turbine nacelle (2021) (0)
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