A novel algorithm for circle curve fitting based on the least square method by the points of the Newton's rings

摘要

Circle curve fitting is always the one of the hot issues of the engineering technology field, circle curve fitting is good or bad depends not only on the fitting algorithm, also depends on the quality of the fitting data. Especially a certain number of disturbed observation points with errors are often used to fit a circle, which will impact the accuracy of least square fitting. This paper proposes an novel method, according to the data of Newton's rings special features. Using the software of Matlab automatically extract the points from the Newton's rings image, and making circular curve fitting by least square method. The algorithm can not only effectively extract data on the circle of the Newton's rings image with noise, even on incomplete Newton's rings image, and get the fitting result with higher accuracy.