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• W2021492693 abstract "We present several algorithms for computing a feasible toolpath of certain characteristics for sculpting a given surface using a 5-axis numerically controlled (NC) machine. A toolpath specifies the orientations of a cutting tool at each point of a path taken by the tool. When a single toolpath does not exist, we find the minimum number of toolpaths needed by the cutting tool. Previous algorithms are all heuristics with no quality guarantee of a solution and with no analysis of the running time. We obtain optimal solutions and provide time analysis for all our algorithms. We model the problem using a directed, layered graph G (representing the sculpting constraints) such that a feasible toolpath corresponds to a certain path in G. We give efficient methods for several path problems in such graphs (e.g., finding a path in an unweighted or vertex-weighted version of G, computing the minimum number of paths whose union spans all the layers of an edge-weighted G, etc)." @default.
• W2021492693 created "2016-06-24" @default.
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• W2021492693 date "2012-08-01" @default.
• W2021492693 modified "2023-09-26" @default.
• W2021492693 title "Computing feasible toolpaths for 5-axis machines" @default.
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• W2021492693 doi "https://doi.org/10.1016/j.tcs.2011.11.032" @default.
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