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Within an invariance framework, the recognition of plane objects under general viewpoints and perspective projection calls for the extraction of two-dimensional projective invariants. If the possible poses of the object are constrained with respect to the camera, however, simpler groups than the projective transformations become relevant, and consequently, simpler invariants exist. Several such special...
Implementation results for projective invariant descriptions of planar curves are presented. The paper outlines methods for the generation of projectively invariant representations of curve segments between bitangent points as well as — and this for the first time — segments between inflections. Their usefulness for recognition is illustrated. The semi-local nature of the invariant descriptions allows...
The three-dimensional structure of a scene consisting of at least five points whose images are identified in two perspective views taken from different positions with a relative object-camera translation in between, can be reconstructed up to a 3D affine transformation. Hence, a more detailed reconstruction is possible using less information when compared to the results reported on arbitrary stereo...