Résolution analytique d'un cercle de moindres carrés pour une utilisation en interférométrie

摘要

A new circle least-squares method is presented. This method gives the analytical expressions of the coordinates (x↓(o),y↓(o)) of the circle central point and its radius R↓(o), from a set of points with the coordinates (x↓(i),y↓(i))The expressions of the variances V (↓(o)), V (Y↓(o)) and V ( R↓(o)) and the covariances cov(X↓(o),Y↓(o),), cov(X↓(o), R↓(o),) and cov(y↓(o), R↓(o)) are also presented. At the 《Length》 group of the BNM-1NM, this new circle least-squares method has been applied to the interferometric measurements using the sigmameter technique.