By Bring in integral principle and the idea of Kruskal/2-opt algorism

a new tour construction algorism with time complicity O(N2) is presented in this paper. In fact

carving path of laser carving machine could be transferred to the traveling salesman problem(TSP) and optimized for laser carving process(LCP). In this algorism

some reasonable small loops are constructed in the first step

then larger loops are progressively synthesized with the small ones from bottom to top and in the end

a near-optimal resolution can be captured in this way. Moving distance resulted from this calculation is about 1.1 times of lower bound due to Held and Karp. Experimental results show that in the case of laser engraving machine

this algorism can reduce the vacancy path by 88%.