Sparse Image Reconstruction Preprints of Andrew E. Yagle

Reconstruction from DFT Values

• A.E. Yagle, "3-D Closed-Form Sparse Reconstruction from Downsampled Discrete Fourier Transform Data" .pdf
• A.E. Yagle, "Non-Iterative Compressed Sensing Using a Minimal Number of Fourier Transform Values" .pdf
• A.E. Yagle, "Compressed Sensing from Several Sets of Downsampled Fourier Values using Only FFTs" .pdf
• A.E. Yagle, "Closed-Form Reconstruction of Sparse Signals from 3 Sets of Downsampled Fourier Values" .pdf
• A.E. Yagle, "Recovery of K-Sparse Non-Negative Signals from K DFT Values and Their Conjugates" .pdf
• A.E. Yagle, "Non-Iterative Sparse Image Reconstruction from a Few 2-D DFT Frequency Values" .pdf
• A.E. Yagle, "Closed-Form Reconstruction of Sparse Signals from Limited Numbers of Irregular Frequencies".pdf

Closed-Form Solutions to non-DFT Problems

• A.E. Yagle, "Non-Iterative Computation of Sparsifiable Solutions to Underdetermined Kronecker Product Linear Systems of Equations".pdf
• A.E. Yagle, "A Closed-Form Solution to the Regression Problem with Sparse Outliers in the Data" .pdf
• A.E. Yagle, "A Non-Iterative Procedure for Computing Sparse and Sparsifiable Solutions to Slightly Underdetermined Linear Systems of Equations".pdf
• A.E. Yagle, "A Non-Iterative Procedure for Sparse Solutions to Linear Equations with Bandlimited Rows" .pdf

Variations on L1 Norm Reconstruction

• A.E. Yagle, "One-Bit Compressed Sensing using the Soft-Thresholded Landweber Iteration" .pdf
• A.E. Yagle, "Elastic Net Minimization as Non-Negative Least Squares using the Landweber Iteration" .pdf
• A.E. Yagle, "Non-Iterative Reweighted-Norm Least-Squares Local L0 Minimization for Sparse Solutions to Underdetermined Linear System of Equations".pdf
• A.E. Yagle, "Shrinkage Without Thresholding: L1 Norm Minimization using the Landweber Iteration" .pdf
• A.E. Yagle, "Coordinate Descent for Sparse Solutions of Underdetermined Linear Systems of Equations".pdf

Variations on the Phase Retrieval Problem

• A.E. Yagle, "New Atomicity-Exploiting Algorithms for Super-Resolution X-Ray Crystallography" .pdf
• A.E. Yagle, "Non-Iterative Superresolution Phase Retrieval of Sparse Images Without Support Constraints".pdf
• A.E. Yagle, "Non-Iterative Valid Blind Deconvolution of Sparsifiable Images using an Inverse Filter".pdf
• A.E. Yagle, "Deconvolution of Sparse Signals and Images from Noisy Partial Data using MUSIC" .pdf

Reconstruction using SSMO System

• A.E. Yagle, "Single-System Multiple-Output (SSMO) Sparse Solution Mapped to Single-Output Sparse Solution of Systems of Equations".pdf
• A.E. Yagle, "Closed-Form Solution of Some Sparse Single-system-multiple-output (SSMO) Underdetermined Systems of Equations".pdf
• A.E. Yagle, "Sparse Single-System Multiple-Output (SSMO) Using Hybrid Input-Output (HIO) Algorithm" .pdf

Miscellaneous

• A.E. Yagle, "Limited Angle Tomography of Sparse Images from Noisy Data Using TLS MUSIC Algorithm" .pdf
• A.E. Yagle, "Locations of Non-Zeros in Sparse Solutions of Underdetermined Linear Systems of Equations".pdf
• A.E. Yagle, "A New Algorithm for the Nearest Singular Toeplitz Matrix to a Given Toeplitz Matrix" .pdf

Presentations

• A.E. Yagle, "Non-Iterative Reconstruction of Sparse Images from Limited Data" .pdf
• A.E. Yagle, "21 Things I've Learned About Teaching".pdf

For more information on anything please email aey@eecs.umich.edu