2003
DOI: 10.1016/s0167-8655(02)00277-5
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An adaptive smoothing approach for fitting digital planar curves with line segments and circular arcs

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Cited by 35 publications
(23 citation statements)
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“…[Yang and Du 1996;Pei and Horng 1996;Horng 2003;Safonova and Rossignac 2003;Drysdale et al 2008]. More recently, piecewise clothoids, made of arcs with linear (instead of constant) curvature, have gained an increasing interest in the graphics community [McCrae and Singh 2008;Baran et al 2010] because of their fairness property, allowing for sketching visually pleasing curves.…”
Section: Related Workmentioning
confidence: 99%
“…[Yang and Du 1996;Pei and Horng 1996;Horng 2003;Safonova and Rossignac 2003;Drysdale et al 2008]. More recently, piecewise clothoids, made of arcs with linear (instead of constant) curvature, have gained an increasing interest in the graphics community [McCrae and Singh 2008;Baran et al 2010] because of their fairness property, allowing for sketching visually pleasing curves.…”
Section: Related Workmentioning
confidence: 99%
“…Calculate the maximum deviation between the parametric cubic curve P(u) and segmented curve, and then compute the measurement m by using Eq. (11), where the maximum deviation is obtained from orthogonal distance. Using the measurement m, the lower the measurement is, the more significant the conic arc is.…”
Section: Segmentation Of Conic Arcsmentioning
confidence: 99%
“…m Z maximum deviation segment length (11) Subsequently, the region of support is extended to make a longer segment as follows. Let m old Zm, then the region of support is extended.…”
Section: Segmentation Of Conic Arcsmentioning
confidence: 99%
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“…The second stage is an optimization phase which adjusts the break points until the fitting error is locally minimized. Afterwards, Horng [7] proposed an adaptive smoothing approach for decomposition of a digital curve into arcs and lines. The input curve is segmented into arcs and lines according to the smoothed curvature representation.…”
Section: Introductionmentioning
confidence: 99%