Programming for drawing error ellipse;

Probability test on point position droping into error ellipse;

Owing to that the error ellipse is an approximation manifestation of the error curve, the faulty discrimination probability applied in the displacement examination does not agree with the theoretical value.

It can measure not only the diameter,but also the ellipse tolerance and the coaxial tolerance of any microdrill.

Based on the generalized Huygens-Fresnel diffraction integral theory and the stationary phase method,within the maximum non-diffraction distance behind an axicon,the optical field distribution of a nanosecond Gaussian beam pulse passing through axicons with the ideal manufacture quality and with the elliptical manufacture error were investigated.

It s necessary to deduce the transformation relation from error ellipse elements to covariance elements.