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The task of Electrocardiographic Imaging is an ill-posed inverse problem, requiring regularization. However, it has special features, firstly because it is a "non-stationary" inverse problem, and secondly because the inherent dynamical variety (e.g., epicardial breakthroughs, arrhythmias, ischemic changes) may preclude a fruitful nontrivial process model. Importantly, its structure places...
Commonly, functional source imaging problems are "partial" rather than "ordinary" inverse problems-wherein the defining operator consists of component operators that individually do not address all variables of the unknown. When this ordinary-to-partial transition is minimally constrained, algebraic principles can be used to derive a favored methodology-which we do here. The resulting...
Dynamic medical imaging problems are typically structured as "partial" inverse problems: the desired time series of images (a spatiotemporal matrix) is subject to a purely spatial transformation (its product with a transfer matrix) - so that the forward operator does not address all of the variables of the function to be transformed (analogous to partial differentiation, which is also a...
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