Semi Parametric Estimations of rotating and scaling parameters for aeronautic loads
This work addresses curve registration for aeronautic loads, but it appears incremental as it applies known M-estimation techniques to a specific domain.
The paper tackles the problem of registering noisy curves by developing a model to estimate rotation and scaling parameters using M-estimation, proving consistency and asymptotic normality, and validating with simulations and an aeronautic example.
In this paper, we perform registration of noisy curves. We provide an appropriate model in estimating the rotation and scaling parameters to adjust a set of curves through a M-estimation procedure. We prove the consistency and the asymptotic normality of our estimators. Numerical simulation and a real life aeronautic example are given to illustrate our methodology.