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P8: Image Reconstruction from Non-Uniformly Sampled Spectral Data Author: Alfredo Nava-Tudela , Advisor: John Benedetto (Math & NWC) Problem Statement Presentation Project Proposal Abstract In this project we study and implement software to reconstruct images in the spatial domain from non-uniform sampled data in the spectral domain. We study existing non-uniform fast Fourier methods and understand their use in image reconstruction. Also, we fit one of these methods to a technique previously developed to reconstruct images from uniformly sampled spectral data. In this project we also create a database of synthetic non-uniform spectral data to test the algorithms developed herein. We deliver Matlab code that implements the techniques described in this document, and explore C and/or C++ code that parallelizes these algorithms.
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