Choice of parametric representation in numerical approximation and encoding of curves (Q1067350)

The paper deals with the problem of approximating plane curves in the sense that an approximation operator (for instance trigonometric polynomial expansion) is applied to a class of parametric representations of a given curve and the parametrization is to be chosen such as to minimize the deviation from the curve in the sense of some metric. A rather general iterative scheme is given to determine satisfactory parametrizations. Applications to coding of information in television systems are discussed and examples illustrate the usefulness of the approach.