Anne Gelb | Academic Influence

Anne Gelb's AcademicInfluence.com Rankings

Anne Gelb

Mathematics

#3605

World Rank

#5295

Historical Rank

Measure Theory

#3568

World Rank

#4209

Historical Rank

mathematics Degrees

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Mathematics

Anne Gelb's Degrees

PhD Mathematics Stanford University
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Anne Gelb Influential?

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According to Wikipedia, Anne E. Gelb is a mathematician interested in numerical analysis, partial differential equations and Fourier analysis of images. She is John G. Kemeny Parents Professor of Mathematics at Dartmouth College.

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Anne Gelb'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

Detection of Edges in Spectral Data (1999) (218)
Detection of Edges in Spectral Data II. Nonlinear Enhancement (2000) (151)
A method to reduce the Gibbs ringing artifact in MRI scans while keeping tissue boundary integrity (2002) (128)
Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images (2005) (119)
Robust reprojection methods for the resolution of the Gibbs phenomenon (2006) (112)
Roughness models for particle adhesion. (2004) (107)
Adaptive Edge Detectors for Piecewise Smooth Data Based on the minmod Limiter (2006) (75)
Improved Total Variation-Type Regularization Using Higher Order Edge Detectors (2010) (67)
Enhanced spectral viscosity approximations for conservation laws (2000) (67)
The resolution of the Gibbs phenomenon for spherical harmonics (1997) (57)
Improving tissue segmentation of human brain MRI through preprocessing by the Gegenbauer reconstruction method (2003) (56)
Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling (2005) (50)
Image Reconstruction from Undersampled Fourier Data Using the Polynomial Annihilation Transform (2016) (44)
Modelling Annular Micromixers (2003) (43)
Discontinuity detection in multivariate space for stochastic simulations (2009) (42)
Spectral Reconstruction of Piecewise Smooth Functions from Their Discrete Data (2002) (40)
Determining the locations and discontinuities in the derivatives of functions (2008) (39)
The resolution of the Gibbs phenomenon for "spliced" functions in one and two dimensions (1997) (38)
A Hybrid Approach to Spectral Reconstruction of Piecewise Smooth Functions (2000) (37)
Parameter Optimization and Reduction of Round Off Error for the Gegenbauer Reconstruction Method (2004) (37)
Detection of Edges in Spectral Data III—Refinement of the Concentration Method (2008) (37)
Approximating the inverse frame operator from localized frames (2012) (35)
Reducing the Effects of Noise in Image Reconstruction (2002) (34)
Spectral Viscosity for Shallow Water Equations in Spherical Geometry (2001) (33)
Composite SAR imaging using sequential joint sparsity (2017) (30)
On Reconstruction from Non-uniform Spectral Data (2010) (30)
Recovering fine details from under-resolved electron tomography data using higher order total variation ℓ1 regularization. (2017) (23)
A Frame Theoretic Approach to the Nonuniform Fast Fourier Transform (2014) (23)
The discrete orthogonal polynomial least squares method for approximation and solving partial differential equations (2008) (21)
Sparsity Enforcing Edge Detection Method for Blurred and Noisy Fourier data (2012) (21)
Reconstruction of Piecewise Smooth Functions from Non-uniform Grid Point Data (2007) (21)
Improving the accuracy of volumetric segmentation using pre-processing boundary detection and image reconstruction (2004) (20)
Determining Analyticity for Parameter Optimization of the Gegenbauer Reconstruction Method (2005) (18)
Detection of Edges from Nonuniform Fourier Data (2011) (17)
Iterative Design of Concentration Factors for Jump Detection (2012) (16)
The Resolution of the Gibbs Phenomenon for Fourier Spectral Methods (2006) (16)
A Hybrid Fourier–Chebyshev Method for Partial Differential Equations (2009) (15)
Edge Detection from Non-Uniform Fourier Data Using the Convolutional Gridding Algorithm (2014) (15)
Image Reconstruction from Fourier Data Using Sparsity of Edges (2015) (15)
One-sided Post-processing for the Discontinuous Galerkin Method Using ENO Type Stencil Choosing and the Local Edge Detection Method (2006) (14)
Reducing Effects of Bad Data Using Variance Based Joint Sparsity Recovery (2018) (13)
Hypothesis Testing for Fourier Based Edge Detection Methods (2012) (12)
Sparsity-based photoacoustic image reconstruction with a linear array transducer and direct measurement of the forward model (2018) (12)
Reducing the effects of noise in MRI reconstruction (2002) (11)
Joint Sparse Recovery Based on Variances (2019) (11)
Detecting derivative discontinuity locations in piecewise continuous functions from Fourier spectral data (2007) (11)
Recovering Exponential Accuracy from Non-harmonic Fourier Data Through Spectral Reprojection (2012) (11)
Edge detection from truncated Fourier data using spectral mollifiers (2013) (11)
High Order Edge Sensors with ℓ1 Regularization for Enhanced Discontinuous Galerkin Methods (2019) (10)
Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions (2021) (9)
Variance based joint sparsity reconstruction of synthetic aperture radar data for speckle reduction (2018) (9)
Joint image formation and two-dimensional autofocusing for synthetic aperture radar data (2018) (8)
Detection of signal discontinuities from noisy fourier data (2008) (8)
Using $$\ell _1$$ℓ1 Regularization to Improve Numerical Partial Differential Equation Solvers (2018) (8)
Detecting Edges from Non-uniform Fourier Data Using Fourier Frames (2017) (7)
Absorbing Boundary Conditions of the Second Order for the Pseudospectral Chebyshev Methods for Wave Propagation (2002) (7)
Edge-adaptive l2 regularization image reconstruction from non-uniform Fourier data (2018) (7)
Detecting Edges from Non-uniform Fourier Data via Sparse Bayesian Learning (2018) (6)
Generalized sparse Bayesian learning and application to image reconstruction (2022) (6)
A High Order Method for Determining the Edges in the Gradient of a Function (2009) (6)
Edge Detection of Piecewise Smooth Functions from UnderSampled Fourier Data Using Variance Signatures (2017) (5)
Numerical Analysis for Conservation Laws Using $$l_1$$l1 Minimization (2019) (5)
Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates (2015) (4)
A High-Dimensional Inverse Frame Operator Approximation Technique (2016) (4)
Empirical Bayesian Inference using Joint Sparsity (2021) (3)
Empirical Bayesian Inference Using a Support Informed Prior (2022) (3)
An automated method for recovering piecewise smooth functions on spheres free from Gibbs oscillations (2007) (3)
Sequential Image Recovery from Noisy and Under-Sampled Fourier Data (2022) (3)
Wind Set-down Relaxation on a Sloping Beach (1997) (3)
A Two-dimensional Inverse Frame Operator Approximation Technique (2015) (2)
Sparsity-based photoacoustic image reconstruction with a linear array transducer and direct measurement of the forward model (Erratum) (2019) (2)
Edge-adaptive \begin{document}$ \ell_2 $\end{document} regularization image reconstruction from non-uniform Fourier data (2018) (2)
Computational photoacoustic imaging with sparsity-based optimization of the initial pressure distribution (2018) (2)
Reducing the Gibbs ringing artifact in MRI scans while maintaining tissue boundary integrity (2002) (2)
Estimation and Uncertainty Quantification for Piecewise Smooth Signal Recovery (2020) (2)
Image reconstruction enhancement via masked regularization (2019) (2)
Recovering Exponential Accuracy from Non-harmonic Fourier Data Through Spectral Reprojection (2011) (2)
Total Variation Bayesian Learning via Synthesis (2019) (1)
Recovering Grid-Point Values Without Gibbs Oscillations in Two Dimensional Domains on the Sphere (1997) (1)
Sampling-based Spotlight SAR Image Reconstruction from Phase History Data for Speckle Reduction and Uncertainty Quantification (2022) (1)
Accelerated Variance Based Joint Sparsity Recovery of Images from Fourier Data (2019) (1)
A Comparison of Modern Hyperbolic Methods for Semiconductor Device Simulation: NTK Central Scheme Vs. CLAWPACK (2002) (1)
Edge-masked CT image reconstruction from limited data (2019) (1)
Finite Fourier Frame Approximation Using the Inverse Polynomial Reconstruction Method (2018) (1)
Sparsity Enforcing Edge Detection Method for Blurred and Noisy Fourier data (2011) (1)
Image Reconstruction from Fourier Data Using Sparsity of Edges (2014) (1)
Sequential edge detection using joint hierarchical Bayesian learning (2023) (1)
Improving numerical accuracy for the viscous-plastic formulation of sea ice (2022) (1)
Edge Detection from Non-Uniform Fourier Data Using the Convolutional Gridding Algorithm (2014) (0)
Finite Fourier Frame Approximation Using the Inverse Polynomial Reconstruction Method (2018) (0)
Synthetic Aperture Radar Image Formation with Uncertainty Quantification (2020) (0)
Detecting Edges from Non-uniform Fourier Data via Sparse Bayesian Learning (2019) (0)
An l1 Regularization Algorithm for Reconstructing Piecewise Smooth Functions from Fourier Data Using Wavelet Projection (2015) (0)
Designing Neural Networks for Hyperbolic Conservation Laws (2022) (0)
Special Issue on Mathematical Methods in Medical Imaging (2012) (0)
Reducing Effects of Bad Data Using Variance Based Joint Sparsity Recovery (2018) (0)
Compressed Single-Shot Photoacoustic Image Reconstruction of a 3D Pressure Distribution (2021) (0)
Hypothesis Testing for Fourier Based Edge Detection Methods (2011) (0)
Numerical methods on solving sea ice dynamics model based on a viscous-plastic formulation (2022) (0)
Using ADMM and Soft Shrinkage for 2 D signal reconstruction (2017) (0)
Edge detection from truncated Fourier data using spectral mollifiers (2011) (0)
Edge Detection from Two-Dimensional Fourier Data using Gaussian Mollifiers (2016) (0)
Leveraging joint sparsity in hierarchical Bayesian learning (2023) (0)
Iterative Design of Concentration Factors for Jump Detection (2011) (0)
Using frame theoretic convolutional gridding for robust synthetic aperture sonar imaging (2017) (0)
Detecting Edges from Non-uniform Fourier Data Using Fourier Frames (2016) (0)
Preface to the Special Issue in Memory of Professor Saul Abarbanel (2019) (0)
Sparsity-Based Recovery of Three-Dimensional Photoacoustic Images from Compressed Single-Shot Optical Detection (2021) (0)
Special Issue on Mathematical Methods in Medical Imaging (2012) (0)
Image Reconstruction from Undersampled Fourier Data Using the Polynomial Annihilation Transform (2015) (0)
An Adaptive Fourier Filter for Relaxing Time Stepping Constraints for Explicit Solvers (2015) (0)
Sub-aperture SAR imaging with uncertainty quantification (2022) (0)
Thresholded Non-Uniform Fourier Frame-Based Reconstruction for Stripmap SAR (2019) (0)
Recovering Fine Details from Under-Resolved Electron Tomography Data using HOTV Regularization (2016) (0)
Postprocessing of nonuniform MRI (2007) (0)

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