A new method approximating offset curve by Bézier curve using parallel derivative curves

DOI10.1007/s40314-017-0437-xOpenAlexW2603538170MaRDI QIDQ725836

Young Joon Ahn, Soo Won Kim, Ryeong Lee

Publication date: 2 August 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-017-0437-x

zbMATH Keywords

Hausdorff distanceconvolution curveBézier curve approximationGauss map approximationoffset curve approximation

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Unnamed Item
• Approximation of circular arcs and offset curves by Bézier curves of high degree
• An approximation of circular arcs by quartic Bézier curves
• Approximate convolution with pairs of cubic Bézier LN curves
• Cubic helical splines with Frenet-frame continuity
• Topological criterion for selection of quintic pythagorean-hodograph Hermite interpolants
• Good approximation of circles by curvature-continuous Bézier curves
• A spline approximation of offset curves
• Optimal approximate conversion of spline curves and spline approximation of offset curves
• Circular arc approximation by quintic polynomial curves
• Approximation of circular arcs by Bézier curves
• Planar curve offset based on circle approximation
• Circle approximation using LN Bézier curves of even degree and its application
• Rotation-minimizing Euler-Rodrigues rigid-body motion interpolants
• An approximation method to circular arcs
• Analytic properties of plane offset curves
• CIRCLE APPROXIMATION BY QUARTIC G²SPLINE USING ALTERNATION OF ERROR FUNCTION
• Construction and shape analysis of PH quintic Hermite interpolants

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