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Methods for the Imaging, Analysis, and Display of Layered Media

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This dissertation is a review of three projects I worked on during my time in the Computational Photography Lab at Northwestern University. First, a source separation problem for the X-Ray Fluorescence images of painted works of art is addressed through the incorporation of Hyperspectral Reflectance data. Following this, a discussion of Optical Coherence Tomography and its applications to cultural heritage science is presented. A rigorous analysis of the depth resolved attenuation coefficient in the presence of speckle is performed and a Bayesian model for the signal is derived. Finally, the problem of speckle in fast temporally multiplexed holographic displays is addressed. In this, the impact of quantization on the reconstructed image quality is analyzed and quantization aware optimization methods to reduce speckle are surveyed.

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