The quartic Catmull-Rom spline with local adjustability and its shape optimization

DOI10.1186/s13662-022-03730-8OpenAlexW4307168714MaRDI QIDQ2110481

Juncheng Li, Shanjun Liu, Chengzhi Liu

Publication date: 21 December 2022

Published in: Advances in Continuous and Discrete Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-022-03730-8

zbMATH Keywords

shape optimizationfree parameterinterpolatory curvelocal adjustabilityquartic Catmull-Rom spline

Mathematics Subject Classification ID

Numerical interpolation (65D05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

Cubic trigonometric Hermite interpolation curve: construction, properties, and shape optimization

Cites Work

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• Adjusting the energy of ball curves by modifying movable control balls
• Geometric constraints on quadratic Bézier curves using minimal length and energy
• Geometric continuity, shape parameters, and geometric constructions for Catmull-Rom splines

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