Euclidean paths for representing and transforming scanned characters

Abstract

Euclidean Paths are a way of representing the boundary of discrete objects. The main advantage of this representation is that it allows us to smooth a discrete contour which is intrinsically jagged while preserving all the initial information it contains. We recall here the general model of Euclidean Paths and the construction of tangent driven Euclidean paths associated with 8-connected boundaries [7]. Tangent driven Euclidean paths provide a good approximation of the real contour of a 2D region given the digitized contour of the region. We then present as an application how tangent driven Euclidean paths can be used for some geometrical transformations of scanned characters.