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In this work, the ability to reshape the grinding wheels with special patterns to produce advanced structured surfaces with several geometries is studied. Firstly, a mathematical model is built for the process relating geometries of the grinding wheel, geometries of wheel patterns, the produced structured surface with the grinding operating parameters. Then, different regular and irregular geometries are designed to be patterned over the wheel surface. Afterward, a simulation method to express the patterned wheels and the structured surface at different working conditions is developed. The effects of the pattern geometries on the obtained structured surfaces are investigated.