# Binary Partitioning, Perceptual Grouping, and Restoration with Semidefinite Programming

@article{Keuchel2003BinaryPP, title={Binary Partitioning, Perceptual Grouping, and Restoration with Semidefinite Programming}, author={Jens Keuchel and Christoph Schn{\"o}rr and Christian Schellewald and Daniel Cremers}, journal={IEEE Trans. Pattern Anal. Mach. Intell.}, year={2003}, volume={25}, pages={1364-1379} }

We introduce a novel optimization method based on semidefinite programming relaxations to the field of computer vision and apply it to the combinatorial problem of minimizing quadratic functionals in binary decision variables subject to linear constraints. The approach is (tuning) parameter-free and computes high-quality combinatorial solutions using interior-point methods (convex programming) and a randomized hyperplane technique. Apart from a symmetry condition, no assumptions (such as metric…

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