L-system specification of knot-insertion rules for non-uniform B-spline subdivision

DOI10.1016/J.CAGD.2011.11.004zbMath1245.65026OpenAlexW2036472105MaRDI QIDQ419478

N. F. Stewart, Victor Ostromoukhov, Vincent Nivoliers, Cédric Gérot

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2011.11.004

zbMATH Keywords

subdivisioncomputer graphicscontrol pointsgeometric modelingB-splineL-systemnon-uniform

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (1)

Bivariate non-uniform subdivision schemes based on L-systems

Uses Software

• SageMath

Cites Work

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• Non-uniform subdivision for B-splines of arbitrary degree
• A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines
• Selective knot insertion for symmetric, non-uniform refine and smooth B-spline subdivision
• Blossoming and knot insertion algorithms for B-spline curves
• Blossoms are polar forms
• Rates of convergence of control polygons
• Another knot insertion algorithm for B-spline curves
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• Description of developmental languages using recurrence systems
• L-SYSTEM DESCRIPTION OF SUBDIVISION CURVES

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