Hyperaccuracy for Geometric Fitting

A rigorous accuracy analysis is given to various techniques for estimating parameters of geometric models from noisy data. It is first pointed out that parameter estimation for computer vision applications is very different in nature from traditional statistical analysis and that a different mathematical framework is necessary in such a domain. After general theories on estimation and accuracy are given, typical existing techniques are selected, and their accuracy is evaluated up to higher order terms. This leads to a “hyperaccurate” method that outperforms existing methods.