Bhusnurmath, ArvindTaylor, Camillo J2023-05-222023-05-222008-10-012009-10-07https://repository.upenn.edu/handle/20.500.14332/34799Graph cuts have become an increasingly important tool for solving a number of energy minimization problems in computer vision and other fields. In this paper, the graph cut problem is reformulated as an unconstrained l1 norm minimization that can be solved effectively using interior point methods. This reformulation exposes connections between graph cuts and other related continuous optimization problems. Eventually, the problem is reduced to solving a sequence of sparse linear systems involving the Laplacian of the underlying graph. The proposed procedure exploits the structure of these linear systems in a manner that is easily amenable to parallel implementations. Experimental results obtained by applying the procedure to graphs derived from image processing problems are provided.Laplace equationsgraph theorylinear programmingminimisationsparse matricesLaplaciancontinuous optimization problemsgraph cutsimage processing problemssparse linear systemsunconstrained l1 norm minimizationContinuous optimizationGraph-theoretic methodsAlgorithmsArtificial IntelligenceImage EnhancementImage InterpretationComputer-AssistedImagingThree-DimensionalPattern RecognitionAutomatedArticle