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We derive theoretical guarantees for the exact recovery of piecewise constant two-dimensional images from a minimal number of non-uniform Fourier samples using a convex matrix completion algorithm. We assume the discontinuities of the image are localized to the zero level-set of a bandlimited function, which induces certain linear dependencies in Fourier domain, such that a multifold Toeplitz matrix...
The 3D segmentation of the left ventricle (LV) in cardiac MRI is a challenging problem, due to the presence of other anatomical structures and artifacts (outliers) around the LV. In this paper, a new formulation of a Robust Active Shape Model (RASM) is presented that is able to deal with those outliers. Instead of using the traditional one-to-one mapping of edge points and model points to compute...
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