Choice of parametric representation in numerical approximation and encoding of curves
type: Item
instance of: scholarly article
title: Choice of parametric representation in numerical approximation and encoding of curves
zbMATH Open document ID: 0579.65013
author: V. G. Polyakov
author: Eh. A. I. Ajdu
author: V. S. Nagornov
author: V. G. Trunov
published in: Problems of Information Transmission
publication date: 1984-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 94A29
zbMATH DE Number: 3928182
zbMATH Keywords: curve fitting in plane
zbMATH Keywords: parametrization
zbMATH Keywords: trigonometric
zbMATH Keywords: approximation
zbMATH Keywords: coding of curves
zbMATH Keywords: coding of information in television systems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3928182