WebThe canonical optimization variant of the above decision problem is usually known as the Maximum-Cut Problem or Max-Cut and is defined as: Given a graph G, find a maximum cut. The optimization variant is known to be NP-Hard. The opposite problem, that of finding a minimum cut is known to be efficiently solvable via the Ford–Fulkerson algorithm. WebSep 1, 2024 · As shown by Boykov et al. (2001), minimal graph cuts are a powerful tool for solving discrete optimization problems arising in image analysis and computer vision. The use of minimal graph cuts for deformable image registration was, to our knowledge, first proposed by Tang and Chung (2007).
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http://plaza.ufl.edu/clayton8/mc.pdf WebJan 1, 2013 · This pa-per proposes two parallelization techniques to enhance the execution time of graph-cut optimization. By executing on an Intel 8-core CPU, the proposed … crypto-pdf
[1809.04995] Efficient Graph Cut Optimization for Full …
WebDec 15, 2024 · A tf.Graph contains a set of tf.Operation objects (ops) which represent units of computation and tf.Tensor objects which represent the units of data that flow between ops. Grappler is the default graph optimization system in the TensorFlow runtime. Grappler applies optimizations in graph mode (within tf.function) to improve the performance of ... WebJan 31, 2024 · A graph cut algorithm for object and background segmentation with respect to user-specified seeds, proposed by Y. Boykov et al. computer-vision optimization … Graph cut optimization is a combinatorial optimization method applicable to a family of functions of discrete variables, named after the concept of cut in the theory of flow networks. Thanks to the max-flow min-cut theorem, determining the minimum cut over a graph representing a flow network is equivalent to … See more A pseudo-Boolean function $${\displaystyle f:\{0,1\}^{n}\to \mathbb {R} }$$ is said to be representable if there exists a graph $${\displaystyle G=(V,E)}$$ with non-negative weights and with source and sink nodes See more Graph construction for a representable function is simplified by the fact that the sum of two representable functions $${\displaystyle f'}$$ See more Generally speaking, the problem of optimizing a non-submodular pseudo-Boolean function is NP-hard and cannot be solved in … See more 1. ^ Adding one node is necessary, graphs without auxiliary nodes can only represent binary interactions between variables. 2. ^ Algorithms such as See more The previous construction allows global optimization of pseudo-Boolean functions only, but it can be extended to quadratic functions of discrete variables with a finite number of values, in the form where See more Quadratic functions are extensively studied and were characterised in detail, but more general results were derived also for higher-order … See more • Implementation (C++) of several graph cut algorithms by Vladimir Kolmogorov. • GCO, graph cut optimization library by Olga Veksler and Andrew Delong. See more crypto-pharma