Vectorization of digital images using algebraic curves

Abstract An approach to vectorize digital curves is described that aims at representing a complicated scanned-in digital pictures in an analytical form using implicit algebraic curves for 2D computer animation. An associated triangular quadtree visualization scheme is also presented in this paper to render the algebraic curve. Compared with curve fittings using parametric methods, such as Bezier and B-Splines schemes, an algebraic curve with its implicit form should present more flexibility and ease the burden of geometrical reasonings and analytical manipulations associated with parametric curve schemes.