Errors-in-variables modelling in optical flow problems

Although still in practice, the use of total least squares (TLS) in optical flow estimation is unreliable. The TLS implicitly assumes that the error terms affecting the partial derivatives of the image intensities are independent. The usual methods for estimating the partial derivatives ensures that the errors are strongly correlated. Due to this correlation, an alternative method is required to treat the resulting errors-in-variables (EN) problem. We propose a new method for estimating optical flow based on Sprent´s (1966, 1969) procedure. This method incorporates a general EIV model and provides a far simpler computational procedure than found in previous solutions