SOLVING POISSON DIFFERENTIAL EQUATION USING VECTOR SPACE PROJECTIONS
Boris Marendic
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SOLVING POISSON DIFFERENTIAL EQUATION USING VECTOR SPACE PROJECTIONS

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This work presents a new approach to solving the Poisson partial differential equation in the setting of vector spaces and vector sets. It formulates a very important signal-processing problem of phase unwrapping as a Poisson differential equation problem, and solves it using the vector space projection (VSP) methods. The 2D phase unwrapping problem in radar imaging and magnetic resonance imaging (MRI) is described, and examples in both fields are used to show the effectiveness of the proposed vector space projection method. In the second part of the work, the author approaches the classical p...