Subdivision algorithms with modular arithmetic

DOI10.1016/j.cagd.2024.102267OpenAlexW4390686455MaRDI QIDQ6153624

Ronald N. Goldman

Publication date: 14 February 2024

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2024.102267

zbMATH Keywords

oscillatorfixed pointde Casteljau algorithmLane-Riesenfeld algorithmsubdivision mod m

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• The Bernstein polynomial basis: a centennial retrospective
• \(q\)-blossoming: A new approach to algorithms and identities for \(q\)-Bernstein bases and \(q\)-Bézier curves
• Manifold-valued subdivision schemes based on geodesic inductive averaging
• A survey of curve and surface methods in CAGD
• Computing curves invariant under halving
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Box splines
• Analysis of uniform binary subdivision schemes for curve design
• BEZIER AND B-SPLINE CURVES WITH KNOTS IN THE COMPLEX PLANE
• A butterfly subdivision scheme for surface interpolation with tension control
• Polyhedral subdivision methods for free-form surfaces
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces

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