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An interpolating curve subdivision scheme based on discrete first derivative

Espinosa Bedoya, Albeiro and Sánchez Torres, German and Branch Bedoya, John Willian (2013) An interpolating curve subdivision scheme based on discrete first derivative. DYNA; Vol. 80, núm. 180 (2013); 16-24 Dyna; Vol. 80, núm. 180 (2013); 16-24 2346-2183 0012-7353, 80 (180). pp. 16-24. ISSN 0012-7353

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Resumen

This paper develops a new scheme of four points for interpolating curve subdivision based on the discrete fi rst derivative (DFDS), which reduces the apparition of undesirable oscillations that can be formed on the limit curve when the control points do not follow a uniform parameterization. We used a set of 3000 curves whose control points were randomly generated. Smooth curves were obtained after seven steps of subdivision using fi ve schemes DFDS, Four-Point (4P), New four-point (N4P), Tight four-point (T4P) and the geometrically controlled scheme (GC4P). The tortuosity property was evaluated on every smooth curve. An analysis for the frequency distributions of this property using the Kruskal-Wallis test reveals that DFDS scheme has the lowest values in a close range.

Tipo de documento:Artículo - Article
Información adicional:Derechos de autor reservados
Palabras clave:Curve subdivision, curve interpolation, four-point subdivision scheme
Temática:0 Generalidades / Computer science, information & general works > 03 Obras enciclopédicas generales / Encyclopedias & books of facts
Unidad administrativa:Revistas electrónicas UN > Dyna
Código ID:37556
Enviado por : Dirección Nacional de Bibliotecas STECNICO
Enviado el día :03 Julio 2014 15:29
Ultima modificación:06 Junio 2018 11:03
Ultima modificación:06 Junio 2018 11:03
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