On the basis of approximate effect, the calculation formula of temperature field with elliptic Gaussian beam radiation has been deduced and widely applied.

To solve the sphere ranging problem of fixed monocular vision, the analytical formulation of ellipse center offset is deduced, and the calibration method using this formulation is proposed.

Accordingly, a calculation formula for the groove ovality factor of the deformation section is deduced, and the effective range of the groove ovality factor is set.