Least-squares Matching with Advanced Geometric Transformation Models

Abstract

The least-squares matching algorithm (LSM) for area-based image matching is a well known technique in photogrammetry and computer vision since more than two decades. Differences between two or more images can be modelled by estimating geometric and radiometric transformation functions within the functional model. Commonly the affine transformation is used as geometric transformation. Since this approach is not strict in terms of the projective imaging model, it is worthwhile to investigate alternative transformation models. This paper presents an advanced least-squares matching algorithm that uses the projective transformation model and polynomial transformations to handle geometric distortions between the images. The projective approach is geometrically strict as long as object surface and image sensors are planes. The polynomial approach is supposed to be geometrically strict for plane image sensors and non-plane object surfaces. The possibility of this kind of expansions has been mentioned in several papers but up to now no publicly available investigation is known. First results of the new geometric model have been published by the authors in 2008, showing promising effects on non-planar object patches. * Corresponding author