Algorithm of fairing analysis and simulation modeling in virtual manufacturing

The product smoothness has played an important role in virtual manufacturing, and at present, there has not fairness method that can evaluate the curve and surface smoothness quantitatively. A method of the curves and surfaces fairing evaluation was quantitatively proposed by calculating the "smooth- degree". Based on the "smooth-degree", a constrained optimization algorithm for the curve and surface fairing was proposed. The results of theory analysis and simulation examples illustrate the effectiveness of the constrained optimization fairing method.