Analytical resolution of least-squares applications for the circle in interferometry and radiometry
A Razet · Metrologia · 1998
A new least-squares method for the circle using a set of coordinate data ( x i , y i ) is presented. This method provides analytical expressions for the coordinates ( 0 , Ŷ 0 ) of the central point of a circle and its radius 0 . Expressions for the variances V ( 0 ), V (Ŷ 0 ) and V ( 0 ), and the covariances cov ( 0 , Ŷ 0 ), cov ( 0 , 0 ) and cov (Ŷ 0 , 0 ) are also presented. The method is applied to two problems, one in interferometry and the other in radiometry.