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Toby Sanders, Ph.D.
Magnetic Insight, Inc.
Email: SANDERTL20@gmail.com
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    • Teaching
    • MATH 526
    • MAT 275 (Diff. Eq.)
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    Below are links to various documents on selected topics that I have written over time. They are useful for me to reference back to from time to time, and perhaps someone else may find them useful. Some are less formal than others.

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    Stein's Unbiased Risk Estimator (SURE) Versus Maximum Likelihood (ML) in Inverse Problems

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    Informal Notes on Lagrange Multiplier Theory and the Augmented Lagrangian Function

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    A Brief Discussion: Image Sharpening versus Image Deconvolution

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    Notes on automated parameter selection for regularization methods in signal and image reconstruction 

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    Determining Noise Levels in Blurry Image Data

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    Derivation of Shrinkage Formulas commonly used in L1 minimization problems: complex case included and more!

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    Introduction to the Mathematical Theory of Wavelets

             -Short version with appendix

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    Radon Transform, Projections, Fourier Slice Theorem, Backprojection Methods, and Relationship to Radar Imaging

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    An Introduction to Compressed Sensing

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    Chebyshev's Alternating Theorem

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    Whitney's Theorem: A detailed proof of Whitney's Theorem from 1957.

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    Radon Transform: An Introduction