Anne Gelb - Publications

Affiliations: 
Arizona State University, Tempe, AZ, United States 
Area:
Mathematics

57 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2021 Green D, Gelb A, Luke GP. Sparsity-Based Recovery of Three-Dimensional Photoacoustic Images from Compressed Single-Shot Optical Detection. Journal of Imaging. 7. PMID 34677287 DOI: 10.3390/jimaging7100201  0.318
2019 Churchill V, Archibald R, Gelb A. Edge-adaptive \begin{document}$ \ell_2 $\end{document} regularization image reconstruction from non-uniform Fourier data Inverse Problems and Imaging. 13: 931-958. DOI: 10.3934/Ipi.2019042  0.751
2019 Glaubitz J, Gelb A. High Order Edge Sensors with ℓ 1 Regularization for Enhanced Discontinuous Galerkin Methods. Siam Journal On Scientific Computing. 41. DOI: 10.1137/18M1195280  0.368
2019 Adcock B, Gelb A, Song G, Sui Y. Joint Sparse Recovery Based on Variances Siam Journal On Scientific Computing. 41. DOI: 10.1137/17M1155983  0.405
2019 Gelb A, Hou X, Li Q. Numerical Analysis for Conservation Laws Using $$l_1$$l1 Minimization Journal of Scientific Computing. 81: 1240-1265. DOI: 10.1007/S10915-019-00982-7  0.373
2019 Churchill V, Gelb A. Detecting Edges from Non-uniform Fourier Data via Sparse Bayesian Learning Journal of Scientific Computing. 80: 762-783. DOI: 10.1007/S10915-019-00955-W  0.483
2019 Gelb A, Scarnati T. Reducing Effects of Bad Data Using Variance Based Joint Sparsity Recovery Journal of Scientific Computing. 78: 94-120. DOI: 10.1007/S10915-018-0754-2  0.413
2018 Shang R, Archibald R, Gelb A, Luke GP. Sparsity-based photoacoustic image reconstruction with a linear array transducer and direct measurement of the forward model. Journal of Biomedical Optics. 24: 1-9. PMID 30550047 DOI: 10.1117/1.Jbo.24.3.031015  0.717
2018 Scarnati T, Gelb A. Joint image formation and two-dimensional autofocusing for synthetic aperture radar data Journal of Computational Physics. 374: 803-821. DOI: 10.1016/J.Jcp.2018.07.059  0.385
2018 Chen X, Jung JH, Gelb A. Finite Fourier Frame Approximation Using the Inverse Polynomial Reconstruction Method Journal of Scientific Computing. 76: 1127-1147. DOI: 10.1007/S10915-018-0655-4  0.518
2018 Scarnati T, Gelb A, Platte RB. Using $$\ell _1$$ ℓ 1 Regularization to Improve Numerical Partial Differential Equation Solvers Journal of Scientific Computing. 75: 225-252. DOI: 10.1007/S10915-017-0530-8  0.428
2017 Sanders T, Gelb A, Platte RB, Arslan I, Landskron K. Recovering fine details from under-resolved electron tomography data using higher order total variation ℓ1 regularization. Ultramicroscopy. 174: 97-105. PMID 28064041 DOI: 10.1016/J.Ultramic.2016.12.020  0.453
2017 Denker D, Gelb A. Edge Detection of Piecewise Smooth Functions from UnderSampled Fourier Data Using Variance Signatures Siam Journal On Scientific Computing. 39. DOI: 10.1137/16M1068013  0.505
2017 Sanders T, Gelb A, Platte RB. Composite SAR imaging using sequential joint sparsity Journal of Computational Physics. 338: 357-370. DOI: 10.1016/J.Jcp.2017.02.071  0.484
2017 Gelb A, Song G. Detecting Edges from Non-uniform Fourier Data Using Fourier Frames Journal of Scientific Computing. 71: 737-758. DOI: 10.1007/S10915-016-0320-8  0.498
2016 Song G, Davis J, Gelb A. A high-dimensional inverse frame operator approximation technique Siam Journal On Numerical Analysis. 54: 2282-2301. DOI: 10.1137/15M1047593  0.397
2015 Platte RB, Gutierrez AJ, Gelb A. Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates Applied and Computational Harmonic Analysis. 39: 427-449. DOI: 10.1016/J.Acha.2014.10.002  0.488
2015 Archibald R, Gelb A, Platte RB. Image Reconstruction from Undersampled Fourier Data Using the Polynomial Annihilation Transform Journal of Scientific Computing. DOI: 10.1007/S10915-015-0088-2  0.715
2014 Gelb A, Song G. A frame theoretic approach to the nonuniform fast fourier transform Siam Journal On Numerical Analysis. 52: 1222-1242. DOI: 10.1137/13092160X  0.517
2014 Wasserman G, Archibald R, Gelb A. Image Reconstruction from Fourier Data Using Sparsity of Edges Journal of Scientific Computing. DOI: 10.1007/S10915-014-9973-3  0.741
2014 Martinez A, Gelb A, Gutierrez A. Edge Detection from Non-Uniform Fourier Data Using the Convolutional Gridding Algorithm Journal of Scientific Computing. 61: 490-512. DOI: 10.1007/S10915-014-9836-Y  0.508
2013 Song G, Gelb A. Approximating the inverse frame operator from localized frames Applied and Computational Harmonic Analysis. 35: 94-110. DOI: 10.1016/J.Acha.2012.08.002  0.43
2013 Cochran D, Gelb A, Wang Y. Edge detection from truncated Fourier data using spectral mollifiers Advances in Computational Mathematics. 38: 737-762. DOI: 10.1007/S10444-011-9258-4  0.447
2012 Gelb A, Renaut R, Roudenko S, Cochran D. Special Issue on Mathematical Methods in Medical Imaging - Guest Editors' Introduction Journal of Scientific Computing. 1-2. DOI: 10.1007/S10915-012-9576-9  0.424
2012 Viswanathan A, Gelb A, Cochran D. Iterative design of concentration factors for jump detection Journal of Scientific Computing. 51: 631-649. DOI: 10.1007/S10915-011-9524-0  0.552
2012 Petersen A, Gelb A, Eubank R. Hypothesis testing for fourier based edge detection methods Journal of Scientific Computing. 51: 608-630. DOI: 10.1007/S10915-011-9523-1  0.471
2012 Gelb A, Hines T. Recovering exponential accuracy from non-harmonic Fourier data through spectral reprojection Journal of Scientific Computing. 51: 158-182. DOI: 10.1007/S10915-011-9502-6  0.49
2011 Stefan W, Viswanathan A, Gelb A, Renaut R. Sparsity Enforcing Edge Detection Method for Blurred and Noisy Fourier data Journal of Scientific Computing. 1-21. DOI: 10.1007/S10915-011-9536-9  0.51
2011 Gelb A, Hines T. Detection of Edges from Nonuniform Fourier Data Journal of Fourier Analysis and Applications. 17: 1152-1179. DOI: 10.1007/S00041-011-9172-7  0.479
2010 Stefan W, Renaut RA, Gelb A. Improved total variation-type regularization using higher order edge detectors Siam Journal On Imaging Sciences. 3: 232-251. DOI: 10.1137/080730251  0.382
2010 Viswanathan A, Gelb A, Cochran D, Renaut R. On reconstruction from non-uniform spectral data Journal of Scientific Computing. 45: 487-513. DOI: 10.1007/S10915-010-9364-3  0.609
2009 Archibald R, Gelb A, Saxena R, Xiu D. Discontinuity detection in multivariate space for stochastic simulations Journal of Computational Physics. 228: 2676-2689. DOI: 10.1016/J.Jcp.2009.01.001  0.701
2009 Platte RB, Gelb A. A hybrid Fourier-Chebyshev method for partial differential equations Journal of Scientific Computing. 39: 244-264. DOI: 10.1007/S10915-008-9264-Y  0.435
2008 Archibald R, Gelb A, Yoon J. Determining the locations and discontinuities in the derivatives of functions Applied Numerical Mathematics. 58: 577-592. DOI: 10.1016/J.Apnum.2007.01.018  0.708
2008 Gelb A, Cates D. Detection of edges in spectral data III-refinement of the concentration method Journal of Scientific Computing. 36: 1-43. DOI: 10.1007/S10915-007-9170-8  0.461
2007 Cates D, Gelb A. Detecting derivative discontinuity locations in piecewise continuous functions from Fourier spectral data Numerical Algorithms. 46: 59-84. DOI: 10.1007/S11075-007-9127-X  0.431
2007 Gelb A. Reconstruction of piecewise smooth functions from non-uniform grid point data Journal of Scientific Computing. 30: 409-440. DOI: 10.1007/S10915-006-9099-3  0.472
2006 Gelb A, Jackiewicz Z. Determining analyticity for parameter optimization of the Gegenbauer reconstruction method Siam Journal On Scientific Computing. 27: 1014-1031. DOI: 10.1137/040603814  0.399
2006 Gelb A, Tanner J. Robust reprojection methods for the resolution of the Gibbs phenomenon Applied and Computational Harmonic Analysis. 20: 3-25. DOI: 10.1016/J.Acha.2004.12.007  0.46
2006 Archibald R, Gelb A, Gottlieb S, Ryan J. One-sided post-processing for the discontinuous Galerkin method using ENO type stencil choosing and the local edge detection method Journal of Scientific Computing. 28: 167-190. DOI: 10.1007/S10915-006-9090-Z  0.691
2006 Gelb A, Tadmor E. Adaptive edge detectors for piecewise smooth data based on the minmod limiter Journal of Scientific Computing. 28: 279-306. DOI: 10.1007/S10915-006-9088-6  0.426
2005 Archibald R, Gelb A, Yoon J. Polynomial fitting for edge detection in irregularly sampled signals and images Siam Journal On Numerical Analysis. 43: 259-279. DOI: 10.1137/S0036142903435259  0.738
2004 Archibald R, Hu J, Gelb A, Farin G. Improving the accuracy of volumetric segmentation using pre-processing boundary detection and image reconstruction. Ieee Transactions On Image Processing : a Publication of the Ieee Signal Processing Society. 13: 459-66. PMID 15376580 DOI: 10.1109/Tip.2003.819862  0.73
2004 Gelb A. Parameter optimization and reduction of round off error for the Gegenbauer reconstruction method Journal of Scientific Computing. 20: 433-459. DOI: 10.1023/B:Jomp.0000025933.39334.17  0.452
2003 Archibald R, Chen K, Gelb A, Renaut R. Improving tissue segmentation of human brain MRI through preprocessing by the Gegenbauer reconstruction method. Neuroimage. 20: 489-502. PMID 14527609 DOI: 10.1016/S1053-8119(03)00260-X  0.726
2002 Archibald R, Gelb A. A method to reduce the Gibbs ringing artifact in MRI scans while keeping tissue boundary integrity. Ieee Transactions On Medical Imaging. 21: 305-19. PMID 12022619 DOI: 10.1109/Tmi.2002.1000255  0.71
2002 Gelb A, Archibald R. Reducing the gibbs ringing artifact in MRI scans while maintaining tissue boundary integrity Proceedings - International Symposium On Biomedical Imaging. 2002: 923-926. DOI: 10.1109/ISBI.2002.1029412  0.361
2002 Archibald R, Gelb A. Reducing the effects of noise in MRI reconstruction Proceedings - International Symposium On Biomedical Imaging. 2002: 497-500. DOI: 10.1109/ISBI.2002.1029303  0.409
2002 Gardner CL, Gelb A, Hernandez J. A comparison of modern hyperbolic methods for semiconductor device simulation: NTK central scheme Vs. CLAWPACK Vlsi Design. 15: 721-728. DOI: 10.1080/1065514021000012336  0.333
2002 Gelb A, Tadmor E. Spectral reconstruction of piecewise smooth functions from their discrete data Mathematical Modelling and Numerical Analysis. 36: 155-175. DOI: 10.1051/M2An:2002008  0.529
2002 Gelb A, Jackiewicz Z, Welfert BD. Absorbing Boundary Conditions of the Second Order for the Pseudospectral Chebyshev Methods for Wave Propagation Journal of Scientific Computing. 17: 501-512. DOI: 10.1023/A:1015158227243  0.311
2002 Archibald R, Gelb A. Reducing the Effects of Noise in Image Reconstruction Journal of Scientific Computing. 17: 167-180. DOI: 10.1023/A:1015148530452  0.737
2001 Gelb A, Gleeson JP. Spectral viscosity for shallow water equations in spherical geometry Monthly Weather Review. 129: 2346-2360. DOI: 10.1175/1520-0493(2001)129<2346:Svfswe>2.0.Co;2  0.332
2000 Gelb A. A hybrid approach to spectral reconstruction of piecewise smooth functions Journal of Scientific Computing. 15: 293-322. DOI: 10.1023/A:1011126400782  0.484
2000 Gelb A, Tadmor E. Enhanced spectral viscosity approximations for conservation laws Applied Numerical Mathematics. 33: 3-21. DOI: 10.1016/S0168-9274(99)00067-7  0.437
1997 Gelb A. The resolution of the Gibbs phenomenon for spherical harmonics Mathematics of Computation. 66: 699-717. DOI: 10.1090/S0025-5718-97-00828-4  0.353
1997 Gelb A, Gottlieb D. The resolution of the Gibbs phenomenon for "spliced" functions in one and two dimensions Computers and Mathematics With Applications. 33: 35-58. DOI: 10.1016/S0898-1221(97)00086-2  0.43
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