On \(G^2\) approximation of planar algebraic curves under certified error control by quintic Pythagorean-hodograph splines

DOI10.1016/J.CAGD.2024.102374zbMATH Open1548.65067MaRDI QIDQ6615386

Chun-Ming Yuan, [[Person:6319410|Author name not available (Why is that?)]], Sonia Pérez Díaz, Li-Yong Shen

Publication date: 8 October 2024

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

zbMATH Keywords

Hausdorff distancetopology analysis\( G^2\) approximationPH spline

Mathematics Subject Classification ID

Plane and space curves (14H50) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• Interpolation by $G^2$ Quintic Pythagorean-Hodograph Curves
• Globally certified \(G^1\) approximation of planar algebraic curves
• A certified cubic B-spline interpolation method with tangential direction constraints

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