In this paper, we present a mixture density based approach to invariant ima
ge object recognition. To allow for a reliable estimation of the mixture pa
rameters, the dimensionality of the feature space is optionally reduced by
applying a robust variant of linear discriminant analysis. Invariance to af
fine transformations is achieved by incorporating invariant distance measur
es such as tangent distance. We propose an approach to estimating covarianc
e matrices with respect to image variabilities as well as a new approach to
combined classification, called the virtual test sample method. Applicatio
n of the proposed classifier to the well known US Postal Service handwritte
n digits recognition task (USPS) yields an excellent error rate of 2.2%. We
also propose a simple, but effective approach to compensate for local imag
e transformations, which significantly increases the performance of tangent
distance on a database of 1,617 medical radiographs taken from clinical da
ily routine.