CURVATURE APPROXIMATION FROM PARABOLIC SECTORS

Ximo Gual-Arnau; Maria Victoria Ibáñez Gual; Juan Monterde

doi:10.5566/ias.1702

Authors

Ximo Gual-Arnau Department of Mathematics University Jaume I http://orcid.org/0000-0001-6726-4463
Maria Victoria Ibáñez Gual Department of Mathematics University Jaume I http://orcid.org/0000-0001-7043-8233
Juan Monterde Departament de Geometria i Topologia Universitat de Valencia http://orcid.org/0000-0002-1190-2048

DOI:

https://doi.org/10.5566/ias.1702

Keywords:

curvature, digital curve, shape analysis, three-point curvature approximation

Abstract

We propose an invariant three-point curvature approximation for plane curves based on the arc of a parabolic sector, and we analyze how closely this approximation is to the true curvature of the curve. We compare our results with the obtained with other invariant three-point curvature approximations. Finally, an application is discussed.

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