A contour-parallel offset (CPO) tool-path linking algorithm is derived without tool-retractions and with the largest practicability. The concept of “tool-path loop tree” (TPL-tree) providing the information on the parent/child relationships among the tool-path loops (TPLs) is presented. The direction,tool-path loop,leaf/branch,layer number,and the corresponding points of the TPL-tree are introduced. By defining TPL as a vector,and by traveling throughout the tree,a CPO tool-path without tool-retractions can be derived.
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