The Shadow Transform: An Approach to Cross-Sectional Imaging.
STANFORD UNIV CALIF STANFORD ELECTRONICS LABS
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The goal of this work is to define and investigate the properties of the linear operator that relates the density to its set of projections--the shadow. Several approaches to the definition of the shadow transform are presented in Chapter I. Chapter II provides the basis for the spectral analysis by deriving the eigenfunctions of the shadow transform. Chapter III deals with the derivation of reconstruction schemes realizations of the inverse shadow transform. In Chapter IV the author develops the theory for the case where the measurement of the projections is limited by the geometry.