NC codes for a research in fabrication of randomly distributed V grooves on a spherical surface

random_micro_V_structures_machining.txt: This NC code can be used to machine the random micro V structures on a spherical surface using five-axis mahining.
simulation_singular1_without_singularity_algorithm.txt: This NC code shows the singularity problem (No. 1) caused by the singular configuration of the five-axis machine tool.
simulation_singular2_without_singularity_algorithm.txt: This NC code shows the singularity problem (No. 2) caused by the discretization of the tool path.
experiment_singular1_with_singularity_algorithm.txt: This NC code solves the singularity problem (No. 1) with the tool location insertion algorithm.
experiment_singular2_with_singularity_algorithm.txt: This NC code solves the singularity problem (No. 2) with the tool location insertion algorithm.