Comparing curvature estimation techniques

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorEstrozi, Leandro Farias-
Autor(es): dc.creatorBianchi, Andrea Gomes Campos-
Autor(es): dc.creatorRios Filho, Luiz Gonzaga-
Autor(es): dc.creatorCésar Júnior, Roberto Marcondes-
Autor(es): dc.creatorCosta, Luciano da Fontoura-
Data de aceite: dc.date.accessioned2019-11-06T13:24:42Z-
Data de disponibilização: dc.date.available2019-11-06T13:24:42Z-
Data de envio: dc.date.issued2012-08-08-
Data de envio: dc.date.issued2012-08-08-
Data de envio: dc.date.issued1999-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/123456789/1265-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/554823-
Descrição: dc.descriptionThis article presents a careful comparative evaluation of two techniques for numerical curvature estimation of 2D closed contours (more specifically closed, regular and simple parametric curves). The considered methods are: (a) a 1-D Fourier-based approach; and (b) a 2-D Fourier-based approach involving the embedding of the contour into a 2-D regular surface (presented for the first time in this article). Both these techniques employ Gaussian smoothing as a regularizing condition in order to estimate the first and second derivatives needed for curvature estimation. These methods are considered according to a multiresolution approach, where the standard deviation of the Gaussians are used as scale parameters. The methods are applied to a standard set of curves whose analytical curvatures are known in order to estimate and compare the errors of the numerical approaches. Three kinds of parametric curves are considered: (i) curves with analytical description; (ii) curves synthesized in terms of Fourier components of curvature; and (iii) curves obtained by splines. A precise comparison methodology is devised which includes the adoption of a common spatial quantization approach (namely square box quantization) and the explicit consideration of the influence of the related smoothing parameters. The obtained results indicate that the 1- D approach is not only faster, but also more accurate. However, the 2-D approach is still interesting and reasonably accurate for applications in situations where the curvature along the whole 2-D domains is needed.-
Idioma: dc.languageen-
Palavras-chave: dc.subjectPerformance evaluation-
Palavras-chave: dc.subjectFourier transform-
Palavras-chave: dc.subjectDifferential geometry-
Palavras-chave: dc.subjectNumerical techniques-
Palavras-chave: dc.subjectCuvature estimation-
Título: dc.titleComparing curvature estimation techniques-
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