Akram Aldroubi

Applied Mathematics · 2000–2016

A researcher in the Science corpus: 13 papers; trusts 22 researchers and is trusted by 59 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 34 citations into it; #376 of 7,620 by trust here, #427 by citations
• Computer Vision and Pattern Recognition — 20 citations into it; #4,549 of 21,575 by trust here, #7,249 by citations
• Signal Processing — 12 citations into it; #3,261 of 7,572 by trust here, #4,560 by citations
• Geophysics — 9 citations into it
• Numerical Methods & Scientific Computing — 6 citations into it
• Computational Mechanics — 5 citations into it; #3,399 of 10,001 by trust here, #4,749 by citations
• Evaluation & Benchmarks — 5 citations into it
• Mathematical Physics — 5 citations into it; #2,326 of 8,562 by trust here, #1,776 by citations

Whom Akram Aldroubi trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Ingrid Daubechies
2. Karlheinz Gröchenig
3. Stéphane Mallat
4. Kung Yao
5. Marcin Bownik
6. Deguang Han
7. Peter G. Casazza
8. Roger A. Horn
9. Philippe Thévenaz
10. Qiyu Sun

Who trusts Akram Aldroubi overall

1. Karlheinz Gröchenig
2. Ole W. Christensen
3. Qiyu Sun
4. Christopher Heil
5. Steve Smale
6. Yonina C. Eldar
7. Marzieh Hasannasab
8. Chang Eon Shin
9. Selim Esedoglu
10. Jiannan Wang

Papers from Akram Aldroubi's perspective

Ordered by how strongly the researchers Akram Aldroubi trusts endorse each paper. Same corpus, a different order for every researcher.

1. Ten Lectures on Wavelets
2. Localization of Frames, Banach Frames, and the Invertibility of the Frame Operator
3. p-Frames and Shift Invariant Subspaces of Lp
4. SLANTED MATRICES, BANACH FRAMES, AND SAMPLING
5. Image interpolation and resampling
6. A basis theory primer
7. Wavelets
8. A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
9. The wavelet transform, time-frequency localization and signal analysis
10. Interlacing families II: Mixed characteristic polynomials and the Kadison{Singer problem

Their papers

• Iterative actions of normal operators (2016) — 99 citations
• Dynamical Sampling and Systems from Iterative Actions of Operators (2016) — 78 citations
• Dynamical sampling (2014) — 147 citations
• Invariance of a Shift-Invariant Space (2008) — 47 citations
• SLANTED MATRICES, BANACH FRAMES, AND SAMPLING (2007) — 85 citations
• Convolution, Average Sampling, and a Calderon Resolution of the Identity for Shift-Invariant Spaces (2005) — 120 citations
• Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for L2(Rd) (2004) — 126 citations
• The adaptive bases algorithm for intensity-based nonrigid image registration (2003) — 465 citations
• Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces (2002) — 143 citations
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces (2001) — 781 citations
• p-Frames and Shift Invariant Subspaces of Lp (2001) — 188 citations
• Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces (2000) — 162 citations
• In vivo fiber tractography using DT‐MRI data (2000) — 3,261 citations