Least squares fitting with rotated paraboloids

摘要

In [1] the problem of estimating the parameters of a rotated parabola fitted to measured points in the plane was examined. Thecorresponding method, also used in [2,3], is extendedhere to the case of a rotated paraboloid. Fitting by such a surface occurs in computational metrology e.g. when some parabolic reflector will be checked to be a good one.