Shape analysis of generalized log-aesthetic curves

Gobithaasan, R. U.; Karpagavalli, R.; Miura, Kenjiro T.

doi:10.12988/ijma.2013.3492

Cited by 13 publications

(13 citation statements)

References 11 publications

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“…The overall shapes of GLAC have been identified in [6] where it produces world class aesthetic spirals such as clothoid & logarithmic spiral. The interactive design of GLAC satisfying G 1 Hermite data has been proposed by Gobithaasan et al [7] where its drawable region has been proven to be much wider than the leading LA curves.…”

Section: G 2 Continuous Glacmentioning

confidence: 99%

“…This extra shape parameter distinguishes GLAC from LAC and GLAC has the aptitude to fix desired curvature at the origin. GLAC produces LA curves, Generalized Cornu Spiral (GCS), logarithmic spiral, clothoid, Nielsen's spiral & circle involute a [6]. The vitality of GLAC is further elucidated in [7] where they proved that the drawable region of GLAC is wider as compared to LAC in which GLAC provides wider solution in which the LA curves could not.…”

Section: Introductionmentioning

confidence: 99%

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G²Continuous Generalized Log-Aesthetic Curves

Gobithaasan

Karpagavalli

Miura

2014

Computer-Aided Design and Applications

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Log-Aesthetic (LA) curve has been claimed as one of a most promising curve for design purpose. However, LA curve has no shape variable which can be used to control its end curvatures directly. Generalized Log-Aesthetic Curve (GLAC) which is the family of LA curve has ability to control its curvature with an extra shape parameter. This paper highlights on designing two segments of GLACs in the form of C-and S-shapes with curvature continuity using interior point method. Designers will be able to design S-shapes and C-shapes by inputting control points, its direction of travel and estimated end curvatures.

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Section: G 2 Continuous Glacmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

G²Continuous Generalized Log-Aesthetic Curves

Gobithaasan

Karpagavalli

Miura

2014

Computer-Aided Design and Applications

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“…Spline, a cla od which brid Spline plug-in obtain a succe velopment of proposed by in [9][10][11][12][13][14][15][16] …”

Section: Sucmentioning

confidence: 99%

Bridging CAGD knowledge into CAD/CG applications: Mathematical theories as stepping stones of innovations

Gobithaasan¹,

Miura²,

Hassan³

2014

AIP Conference Proceedings

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“…Several inventive curves are being developed such as Bézier-like, log-aesthetic curve (Gobithaasan 2013) and spiral curve. Bézier curve is one of the typical parametric curves with a continuous curvature that is utilized in various applications including medical and engineering.…”

Section: Introductionmentioning

confidence: 99%