Parameterization models for sampling planar curves

Oleg V. Poliannikov; Hamid Krim

doi:10.1117/12.467970

22 May 2002 Parameterization models for sampling planar curves

Oleg V. Poliannikov, Hamid Krim

Proceedings Volume 4667, Image Processing: Algorithms and Systems; (2002) https://doi.org/10.1117/12.467970
Event: Electronic Imaging, 2002, San Jose, California, United States

Abstract

Discretizing planar curves yields many useful applications. We show that in order to sample a curve, one needs to impose a priori assumptions about the type of parameterization (coordinate system), which would provide a functional form for otherwise just a set of points on the plane. The choice of parameterization is dependent on the nature of typical objects one intends to work with, and thus depends on a particular application. We show the general approach to the problem of choosing a suitable parameterization based on the prevailing shape of objects of interest. Samples of a curve must incorporate the information about both the curve and the coordinate system (type of parameterization) that was used to produce them. The curve is then obtained from the samples by first reconstructing the coordinate system and finally the curve itself. Provided examples illustrate sufficiently general applicability of the proposed techniques.

Citation Download Citation

Oleg V. Poliannikov and Hamid Krim "Parameterization models for sampling planar curves", Proc. SPIE 4667, Image Processing: Algorithms and Systems, (22 May 2002); https://doi.org/10.1117/12.467970

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