Abstract
In this paper we present an overview over the more recent developments of Geometric Hermite Approximation Theory for planar curves. A general method to solve those problems is presented. Emphasis is put on the relations to differential geometry and to invariance against parameter transformations and the motion group of the underlying geometry. However, besides a few elementary cases, this leads to nonlinear systems of algebraic equations. Furthermore we give some geometric interpretations, a couple of examples and a detailed discussion of the case degree n = 4 with one contact point.
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