Deriving the beta-constraints for geometric continuity of parametric curves

DOI10.1007/BF02925094zbMath0839.65006MaRDI QIDQ4866732

B. A. Barsky, Tony D. Derose

Publication date: 26 February 1996

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

zbMATH Keywords

B-splinesparametric curvesgeometric continuityspline curvebeta-constraints

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Surfaces in computer aided geometric design: A survey with new results, Offsetting operations in solid modelling, Urn models and B-splines, Geometric continuity of plane curves in terms of Riordan matrices and an application to the \(F\)-chordal problem, B-spline-Bézier representation of geometric spline curves: Quartics and quintics, Projectively invariant classes of geometric continuity for CAGD

Uses Software

• MACSYMA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Properties of \(\beta\)-splines
• Curvature continuous curves and surfaces
• On calculating with B-splines
• A construction for visualC1 continuity of polynomial surface patches
• Local Control of Bias and Tension in Beta-splines
• Geometric continuity, shape parameters, and geometric constructions for Catmull-Rom splines
• Continuity conditions for spline curves