Refining cubic parametric B-splines

DOI10.1007/s00607-006-0205-zzbMath1115.65011OpenAlexW2001192843MaRDI QIDQ884738

Carla Manni, Paolo Giuseppe Costantini

Publication date: 7 June 2007

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-006-0205-z

zbMATH Keywords

splinesubdivisionparametric curveshape-preserving approximationknot-insertioncubic parametric B-splinetension properties

Mathematics Subject Classification ID

Numerical interpolation (65D05) Approximation with constraints (41A29) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Admissible slopes for monotone and convex interpolation
• Cutting corners always works
• Regularity of irregular subdivision
• Tensioned quasi-interpolation via geometric continuity
• Quasi-interpolants with tension properties from and in CAGD
• Subdivision schemes in geometric modelling