Direct radius compensation and evaluation method for quadric surface at arbitrary position in space

A direct radius compensation and evaluation method for quadric surface at arbitrary position in space with coordinate measuring machining (CMM) is proposed. The radius error is compensated by the optimization model directly based on minimum condition principle with the object function value calculated by angle subdivision approach algorithm. The model is optimized by Improved Particle Swarm Optimization (IPSO) algorithm. Particle Swarm Optimization (PSO) improved by the idea of optimized analytical method, natural selection and crossover with the maximum distance as the object function based on minimum condition principle is proposed. In the experiment, the direct method and the usual method based on B-spline are employed to evaluate the quadric profile error and compare. The direct method result is 0.1811mm, more accurate than the usual method result 0.2522mm. Experimental evidence shows that the direct method is robust and efficient.