Solving Bezout-like polynomial equations for the design of interpolatory subdivision schemes

DOI10.1145/1837934.1837983zbMath1321.68527OpenAlexW2137366207MaRDI QIDQ2946546

Luca Gemignani, Constanza Conti, Lucia Romani

Publication date: 17 September 2015

Published in: Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1837934.1837983

zbMATH Keywords

subdivision schemeBezout equationstructured matrix

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computer-aided design (modeling of curves and surfaces) (65D17) Numerical computation of roots of polynomial equations (65H04)

Related Items (4)

On interpolatory subdivision from approximating subdivision scheme ⋮ Six-point subdivision schemes with cubic precision ⋮ From approximating to interpolatory non-stationary subdivision schemes with the same generation properties ⋮ Creating a bridge between cardinal B\(r\)-spline fundamental functions for interpolation and subdivision

Uses Software

• DIFFALG
• AIDA

Cites Work

• Differential algebra for derivations with nontrivial commutation rules
• Generating differential invariants
• Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds
• Smooth and algebraic invariants of a group action: Local and global constructions
• Differential invariants of a Lie group action: syzygies on a generating set
• Invariants différentiels d'un pseudogroupe de Lie. I
• Invariants différentiels d'un pseudogroupe de Lie. II
• Higher order contact of submanifolds of homogeneous spaces
• Moving coframes. II: Regularization and theoretical foundations
• Rational invariants of a group action. Construction and rewriting
• Differential invariants of conformal and projective surfaces
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