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Image Structure Generating Geometric

Geometric scale spaces are derived for observed geometric structures and its properties. By means of the scale space representation of the jet of the input image connections are deened for implicitly deened structures highly correlated to the induced geometric structures of an object in D-dimensional Euclidean space. The evolution of surfaces and space curves with their properties is derived in the context of the induced spatial rescaling process. Similarly the scale behaviour of a space curve observed from two orthographic projective views is described.