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As applied in the field of computer vision, graph cut optimization can be employed to efficiently solve a wide variety of low-level computer vision problems (early vision [1]), such as image smoothing, the stereo correspondence problem, image segmentation, object co-segmentation, and many other computer vision problems that can be formulated in terms of energy minimization.
Branch and cut [1] is a method of combinatorial optimization for solving integer linear programs (ILPs), that is, linear programming (LP) problems where some or all the unknowns are restricted to integer values. [2] Branch and cut involves running a branch and bound algorithm and using cutting planes to tighten
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 computing the maximum flow over
Cutting planes were proposed by Ralph Gomory in the 1950s as a method for solving integer programming and mixed-integer programming problems. However, most experts, including Gomory himself, considered them to be impractical due to numerical instability, as well as ineffective because many rounds of cuts were needed to make progress towards the solution.
Cutting-stock problems can be classified in several ways. [1] One way is the dimensionality of the cutting: the above example illustrates a one-dimensional (1D) problem; other industrial applications of 1D occur when cutting pipes, cables, and steel bars. Two-dimensional (2D) problems are encountered in furniture, clothing and glass production.
Diagonal- and stepped-cut rift-sawing is intermediate to flat-sawn and radial cut lumber. The angle of the bastard grain may differ along the width of the board or between opposing sides, and enhances the appearance of ray fleck. Flat-sawing is the quickest method, producing the least wood waste and largest possible boards from a log.
A rotary saw, spiral cut saw, RotoZip or cut out tool is a type of mechanically powered saw used for making accurate cuts without the need for a pilot hole in wallboard, plywood, or another thin, solid material. The Rotozip Tool Corp was a company started by Bob Kopras, an American drywall installer who pioneered this type of saw.
In manufacturing industry, nesting refers to the process of laying out cutting patterns to minimize the raw material waste. [1] Examples include manufacturing parts from flat raw material such as sheet metal, glass sheets, cloth rolls, cutting parts from steel bars, etc. Such process can also be applied to additive manufacturing, such as 3D ...