The application of measuring techniques in practice tend to incorporate more and more complex sensors associated with the appropriate signal processing. Typical examples are problems in Visual inspection using a video camera as image sensor and applying pattern recognition methods. The recognition of patterns or objects independent of the viewing angle belongs to one of the fundamental tasks which are not yet sufficiently investigated. The paper gives some results for the construction, the existence and theproperties of invariants for the position-independent recognition of planar contour and gray-scale images. We consider modifications of the position caused by planar and spatial motion of rigid objects (Euclidean motion) with Orthographie projection into the camera plane which define corresponding equivalence classes. Dijferent Performance measures of the invariant features lilce completeness, robustness as well as the matter of computational complexity are discussed.
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