Akram Aldroubi | Academic Influence

Akram Aldroubi's AcademicInfluence.com Rankings

Akram Aldroubi

Mathematics

#5061

World Rank

#7157

Historical Rank

Measure Theory

#1779

World Rank

#2181

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Akram Aldroubi's Degrees

PhD Mathematics University of Toledo
Masters Mathematics University of Toledo
Bachelors Mathematics University of Toledo

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Akram Aldroubi Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Akram Aldroubi is an American mathematician known for his work in sampling theory, harmonic analysis, and their applications to signal and image processing as well as biomedical data analysis. Education Aldroubi received a diplôme in electrical engineering from École Polytechnique Fédérale de Lausanne, in Switzerland, in 1982. He studied mathematics at Carnegie Mellon University, earning his master’s in 1984 and his doctorate in 1987.

(See a Problem?)

Akram Aldroubi'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

In vivo fiber tractography using DT‐MRI data (2000) (3059)
B-SPLINE SIGNAL PROCESSING: PART I-THEORY (1993) (871)
B-spline signal processing. I. Theory (1993) (844)
A review of wavelets in biomedical applications (1996) (791)
Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces (2001) (727)
B-SPLINE SIGNAL PROCESSING: PART II-EFFICIENT DESIGN AND APPLICATIONS (1993) (646)
B-spline signal processing. II. Efficiency design and applications (1993) (624)
Fast B-spline Transforms for Continuous Image Representation and Interpolation (1991) (611)
The adaptive bases algorithm for intensity-based nonrigid image registration (2003) (466)
Wavelets in Medicine and Biology (1997) (424)
A general sampling theory for nonideal acquisition devices (1994) (422)
On the asymptotic convergence of B-spline wavelets to Gabor functions (1992) (332)
Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory (1994) (270)
A family of polynomial spline wavelet transforms (1993) (267)
Enlargement or reduction of digital images with minimum loss of information (1995) (219)
Fast wavelet transformation of EEG. (1994) (208)
Recursive Regularization Filters: Design, Properties, and Applications (1991) (203)
Cardinal spline filters: Stability and convergence to the ideal sinc interpolator (1992) (190)
The L2-Polynomial Spline Pyramid (1993) (186)
p-Frames and Shift Invariant Subspaces of Lp (2001) (178)
Families of multiresolution and wavelet spaces with optimal properties (1993) (167)
A continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissue. (2002) (165)
Polynomial spline signal approximations: Filter design and asymptotic equivalence with Shannon's sampling theorem (1992) (155)
Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces (2000) (151)
Exact iterative reconstruction algorithm for multivariate irregularly sampled functions in spline-like spaces: The $L^p$-theory (1998) (146)
Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces (2002) (135)
A unified approach to sparse signal processing (2009) (130)
Portraits of frames (1995) (124)
Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for L2(Rd) (2004) (120)
Convolution, Average Sampling, and a Calderon Resolution of the Identity for Shift-Invariant Spaces (2005) (110)
Fast implementation of the continuous wavelet transform with integer scales (1994) (107)
Determination of fractional absorption of dietary calcium in humans. (1994) (103)
Polynomial splines and wavelets: a signal processing perspective (1993) (102)
Oblique projections in atomic spaces (1996) (102)
Dynamical sampling (2014) (96)
SLANTED MATRICES, BANACH FRAMES, AND SAMPLING (2007) (81)
Families of wavelet transforms in connection with Shannon's sampling theory and the Gabor transform (1993) (80)
Multiresolution image registration procedure using spline pyramids (1993) (79)
Iterative actions of normal operators (2016) (74)
Nonuniform Average Sampling and Reconstruction in Multiply Generated Shift-Invariant Spaces (2004) (74)
Dynamical sampling: Time–space trade-off☆ (2013) (72)
Discrete spline filters for multiresolutions and wavelets of l 2 (1994) (61)
Dynamical Sampling and Systems from Iterative Actions of Operators (2016) (54)
Perturbations of measurement matrices and dictionaries in compressed sensing (2012) (52)
Wavelets in Medical Imaging (2003) (52)
Designing Multiresolution Analysis-type Wavelets and Their Fast Algorithms (1995) (51)
Optimal Non-Linear Models for Sparsity and Sampling (2007) (49)
Reconstruction of vector and tensor fields from sampled discrete data (2003) (49)
Invariance of a Shift-Invariant Space (2008) (42)
Interpolation Artifacts in Sub-Pixel Image Registration (2009) (41)
Exact Reconstruction of Signals in Evolutionary Systems Via Spatiotemporal Trade-off (2015) (41)
Relative efficiency of molecular sieving in solutions of four polymers (1993) (39)
Fiber Tract Following in the Human Brain Using DT-MRI Data (2002) (38)
Construction of biorthogonal wavelets starting from any two multiresolutions (1998) (37)
Optimal shift invariant spaces and their Parseval frame generators (2007) (37)
Oblique and Hierarchical Multiwavelet Bases (1997) (36)
Geometric aspects of frame representations of abelian groups (2003) (31)
Improved fiber tractography with Bayesian tensor regularization (2006) (31)
Shift-orthogonal wavelet bases using splines (1996) (31)
Dynamical Sampling in Shift-Invariant Spaces (2013) (29)
On stability of sampling-reconstruction models (2007) (28)
NON-UNIFORM SAMPLING IN SHIFT-INVARIANT SPACES (2007) (28)
CUR Decompositions, Similarity Matrices, and Subspace Clustering (2017) (27)
Exact Reconstruction of Spatially Undersampled Signals in Evolutionary Systems (2013) (25)
Oblique projections in discrete signal subspaces of l2 and the wavelet transform (1994) (22)
Robustness of sampling and reconstruction and Beurling–Landau-type theorems for shift-invariant spaces (2006) (22)
Stability and robustness of lq minimization using null space property (2011) (21)
Adaptive free-form deformation for interpatient medical image registration (2001) (21)
Uncertainty Principles and Balian-Low type Theorems in Principal Shift-Invariant Spaces (2010) (20)
Error Analysis of Frame Reconstruction From Noisy Samples (2008) (20)
Shift-orthogonal wavelet bases (1998) (20)
Projection based prefiltering for multiwavelet transforms (1998) (18)
Complete iterative reconstruction algorithms for irregularly sampled data in spline-like spaces (1997) (17)
SPECIAL ISSUE ON WAVELETS IN MEDICAL IMAGING (2003) (17)
Sequential adaptive compressed sampling via Huffman codes (2008) (17)
On the Existence of Optimal Unions of Subspaces for Data Modeling and Clustering (2011) (16)
NON-UNIFORM SAMPLING: EXACT RECONSTRUCTION FROM NON-UNIFORMLY DISTRIBUTED WEIGHTED-AVERAGES (2002) (16)
Nonlinear Least Squares in ℝN (2009) (16)
Nearness to Local Subspace Algorithm for Subspace and Motion Segmentation (2010) (16)
Frames induced by the action of continuous powers of an operator (2018) (15)
Krylov Subspace Methods in Dynamical Sampling (2014) (15)
Radon Cumulative Distribution Transform Subspace Modeling for Image Classification (2020) (15)
Similarity matrix framework for data from union of subspaces (2017) (15)
Wavelets, Multiwavelets, and Their Applications (1998) (14)
Adaptive-bases algorithm for nonrigid image registration (2002) (14)
A Review of Subspace Segmentation: Problem, Nonlinear Approximations, and Applications to Motion Segmentation (2013) (12)
Locally finite dimensional shift-invariant spaces in Rd (2002) (12)
Multi-scale B-spline Snakes for General Contour Detection (2001) (12)
The distribution of particles characterized by size and free mobility within polydisperse populations of protein‐polysaccharide conjugates, determined from two‐dimensional agarose electropherograms (1991) (12)
An image-processing toolset for diffusion tensor tractography. (2007) (11)
Mobile air pollution monitoring network (2010) (11)
Pre-filtering for the initialization of multi-wavelet transforms (1997) (10)
Finite Dimensional Dynamical Sampling: An Overview (2015) (10)
Partitioning signal classes using transport transforms for data analysis and machine learning (2020) (9)
Oblique and biorthogonal multiwavelet bases with fast-filtering algorithms (1995) (9)
Fiber-Tractography in Human Brain Using Diffusion Tensor MRI (DT-MRI) (2000) (9)
Wavelet applications in signal and image processing VII : 19-23 July 1999, Denver, Colorado (1999) (9)
Segmentation of gated TI-SPECT images and computation of ejection fraction: A different approach (1999) (9)
Computerized methods for analyzing two‐dimensional agarose gel electropherograms (1991) (8)
NON-UNIFORM SAMPLING IN MULTIPLY GENERATED SHIFT-INVARIANT SUBSPACES OF Lp(IR) (2001) (8)
Reduced row echelon form and non-linear approximation for subspace segmentation and high-dimensional data clustering (2014) (8)
Principal shift-invariant spaces with extra invariance nearest to observed data (2012) (8)
Phaseless Reconstruction from Space-Time Samples (2017) (8)
Sampling the Flow of a Bandlimited Function (2020) (8)
Continuous Tensor Field Approximation of Diffusion Tensor MRI data (2006) (8)
Measuring image similarity to sub-pixel accuracy (2006) (7)
New Trends in Applied Harmonic Analysis (2016) (7)
Dynamical sampling with additive random noise (2018) (6)
Segmentation of gated SPECT images for automatic computation of myocardial volume and ejection fraction (1997) (6)
Connection between p-frames and p-Riesz bases in locally finite SIS of Lp(R) (2000) (6)
Characterization and parameterization of multiwavelet bases (1998) (6)
Locally finite dimensional shift-invariant spaces in ^{} (2002) (6)
INTERPOLATION ARTIFACTS IN BIOMEDICAL IMAGE REGISTRATION (2007) (5)
Semi- and biorthogonal MRA-type wavelet designs and their fast algorithms (1995) (5)
Phase retrieval of evolving signals from space-time samples (2017) (5)
New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis (2016) (5)
The Signed Cumulative Distribution Transform for 1-D Signal Analysis and Classification (2021) (5)
Training Set (2010) (4)
On the existence of Optimal Subspace Clustering Models (2010) (4)
On the uniqueness of quasi-static solutions of some linear models of left ventricular mechanics. (1990) (4)
A Dimension Reduction Scheme for the Computation of Optimal Unions of Subspaces (2010) (4)
Polynomial spline signal processing algorithms (1992) (4)
An adaptive and information theoretic method For compressed sampling (2009) (4)
Dynamical sampling with random noise (2017) (3)
Reduction and Null Space Algorithms for the Subspace Clustering Problem (2010) (3)
Matrix resconstruction: Skeleton decomposition versus singular value decomposition (2017) (3)
Local-to-Global Frames and Applications to the Dynamical Sampling Problem (2019) (3)
Multiscale nonrigid data registration using adaptive basis functions (2000) (3)
Fast algorithms for running wavelet analyses (1994) (3)
Sampling and Reconstruction for Biomedical Image Registration (2007) (3)
Principal coordinate clustering (2017) (3)
Portraits of frames: overcomplete representations with applications to image processing (1993) (3)
Non-Homogeneous Wavelet Denoising (2004) (2)
Spline multiresolutions and wavelet transforms (1992) (2)
Projection based pre-filtering for initializing multi-wavelet algorithms (1997) (2)
Optimal non-linear models (2009) (2)
DETERMINING SETS OF SHIFT INVARIANT SPACES (2003) (2)
Wavelet denoising of epicardial fluorescence imaging (1998) (2)
HOW TO CONSTRUCT WAVELET FRAMES ON IRREGULAR GRIDS AND ARBITRARY DILATIONS IN R (2004) (2)
Projection-based prefiltering for initializing multiwavelet algorithms (1997) (2)
Foreword (2020) (2)
Correction of motion artifact in cardiac optical mapping using image registration technique (2002) (2)
Oblique multiwavelet bases: examples (1996) (2)
Optimal Shift Invariant Spaces and Their Parseval Generators (2006) (2)
Wavelet applications in signal and image processing IV : 6-9 August 1996, Denver, Colorado (1996) (2)
Subspace and motion segmentation via local subspace estimation (2013) (1)
Oblique Multiwavelet Bases (1997) (1)
Wavelet applications in signal and image processing VIII : 31 July-4 August, 2000, San Diego, USA (2000) (1)
On slanted matrices, frames, and sampling (2007) (1)
Unions of Subspaces for Data Modeling and Subspace Clustering (2013) (1)
Wavelets, multiwavelets, and their applications : AMS Special Session on Wavelets, Multiwavelets, and Their Applications, January, 1997, San Diego, California (1998) (1)
Generalized sampling theory and applications to multiresolutions and wavelets of L2 (1993) (1)
On slanted matrices in frame theory (2007) (1)
Matrix Reconstruction: Skeleton Decomposition versus Singular Value Decomposition (2017) (1)
Predictive algorithms in dynamical sampling for burst-like forcing terms (2021) (1)
The Wavelet Transform: A Surfing Guide (2017) (1)
Learning the Right Model from the Data (2006) (1)
ON NOISE AND UNKNOWN EVOLUTION OPERATORS IN DYNAMICAL SAMPLING (2018) (1)
Dynamical Sampling with a Burst-like Forcing Term (2019) (0)
A unified approach to sparse signal processing (2012) (0)
Special issue: Computational Harmonic Analysis, Part I (2005) (0)
Stochastic Analysis of Geometric Image Processing Using B-Splines (2006) (0)
for Computational Analysis of Inverse Problems and PDEs Orlando , May 9 – 11 , 2013 (2013) (0)
POISSON BOUNDARIES OF FINITE VON NEUMANN ALGEBRAS By (2017) (0)
Special issue on computational harmonic analysis, Part II (2006) (0)
Nonlinear approximations for motion and subspace segmentation (2013) (0)
Binary Reduced Row Echelon Form Approach for Subspace Segmentation (2013) (0)
Computational Harmonic Analysis Organizing Committee Conference Secretary General Information Lecture Theatres Foreign Currency Exchange Email/fax Sightseeing Trip Non-uniform Sampling and Reconstruction in Shift-invariant Spaces with Applications to Signal and Image Processing Multiwavelet Transfor (0)
Predicting brain ’ s functional network from structure ’ s Laplacian (2015) (0)
ABSTRACTS OF TALKS The entries in brackets refer to session numbers on the short program Dynamical Sampling in Shift-invariant Spaces [M-3A] (2013) (0)
Mathematics and Statistics An International Peer-Reviewed Research Journal (2008) (0)
On Approximative Frames in Hilbert Spaces (2014) (0)
Corrections to "Shift-Orthogonal Wavelet Bases Using Splines" [Erratum] (1996) (0)
NON-UNIFORM SAMPLING IN MULTIPLYGENERATED SHIFT-INVARIANT SUBSPACES OFLp (2007) (0)
Binary Reduced Row Echelon Form Approach for Subspace Segmentation (2013) (0)
Signed Cumulative Distribution Transform for Parameter Estimation of 1-D Signals (2022) (0)
On the existence, regularity and large time behavior of a two-dimensional parabolic-elliptic eddy current problem (1990) (0)
Skeleton decomposition analysis for subspace clustering (2016) (0)
Optimal sampling for the determination of calcium metabolism (2020) (0)
Exact Reconstruction of Signals in Evolutionary Systems Via Spatiotemporal Trade-off (2014) (0)
Extrapolation in multiresolutions (1994) (0)
Dynamical sampling with an additive forcing term (2015) (0)
Minimum subspace approximation property for sparse approximations in finite dimension (2010) (0)
DUALITY PRINCIPLE IN g-FRAMES (2017) (0)
Wavelets : applications in signal and image processing IX : 30 Juy-1 August 2001, San Diego, USA (2001) (0)
Wavelet applications in signal and image processing V : 30 July-1 August 1997, San Diego, California (1997) (0)
Recovery of rapidly decaying source terms from dynamical samples in evolution equations (2022) (0)
Besov continuity for Multipliers de ned on compact Lie groups Duván Cardona Communicated (2016) (0)
Construction of shift-orthogonal wavelets using splines (1996) (0)
Principal shift-invariant spaces with extra invariance nearest to observed data (2011) (0)
Dimensionality Reduction and Optimal Union of Subspace Models for Data Clustering (2010) (0)
Localization of Calderon Convolution in the Fourier Domain (2004) (0)
Localized frames and localizable operators (2007) (0)

This paper list is powered by the following services:

Other Resources About Akram Aldroubi

en.wikipedia.org

What Schools Are Affiliated With Akram Aldroubi?

Akram Aldroubi is affiliated with the following schools: