1 and 2D Symmetric Helmert Transformation: An Exact Nonlinear Least Squares Solution

摘要

A class of nonlinear least squares problems for which it is possible to take advantage of the special structure of the nonlinear model is discussed. The nonlinear models are manifolds of the ruled-type (Teunissen, 1985). The proposed solution strategy for this class of problems is applied to the 1 and 2D nonlinear symmetric Helmert transformation. Exact nonlinear least squares solutions are derived.