Interpolating Rational Bézier Spline Curves with Local Shape Control

Побегайло, А. П.

doi:10.5121/ijcga.2013.3401

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Cited by 3 publications

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“…In addition, these curves are G 2 continuous and have bounded distance to the control polygon. Polynomial blending functions with vanishing derivatives at the boundary produce curves of arbitrarily high order of continuity [ Pob13 ]. All such blending methods provide continuity with local support and are easy to compute, but fail to ensure piecewise curvature monotonicity and curvature extrema at control points.…”

Section: Related Workmentioning

confidence: 99%

Smooth Interpolating Curves with Local Control and Monotone Alternating Curvature

Binninger

Sorkine‐Hornung

2022

Computer Graphics Forum

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κ-curves [YSW * 17] trigonometric blending [Yuk20] 3-arcs clothoid clothoid-line-clothoid Figure 1: Interpolating curves generated from the same control points (shown in red) using κ-curves [YSW * 17], trigonometric blending [Yuk20], our 3-arcs clothoids method and our clothoid-line-clothoid method. Our approach guarantees G 2 continuity, has bounded local support and provides curvature monotonicity between control points of opposite curvature sign. The curvature normals are visualized with purple lines.

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Section: Related Workmentioning

confidence: 99%