A Chaikin-based variant of Lane-Riesenfeld algorithm and its non-tensor product extension

DOI10.1016/J.CAGD.2014.11.002zbMath1417.65108OpenAlexW1989774672MaRDI QIDQ1632303

Lucia Romani

Publication date: 14 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2014.11.002

zbMATH Keywords

subdivisiontension parameterbivariate cubic precisionnon-tensor productrefine-and-smooth

Mathematics Subject Classification ID

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

Related Items (11)

Construction and analysis of binary subdivision schemes for curves and surfaces originated from Chaikin points ⋮ A shape-preserving variant of Lane-Riesenfeld algorithm ⋮ A non-uniform corner-cutting subdivision scheme with an improved accuracy ⋮ Families of univariate and bivariate subdivision schemes originated from quartic B-spline ⋮ A new variant of Lane-Riesenfeld algorithm with two tension parameters ⋮ Repeated local operations and associated interpolation properties of dual \(2n\)-point subdivision schemes ⋮ Six-point subdivision schemes with cubic precision ⋮ Family of \(a\)-ary univariate subdivision schemes generated by Laurent polynomial ⋮ Univariate approximating schemes and their non-tensor product generalization ⋮ Recursive process for constructing the refinement rules of new combined subdivision schemes and its extended form ⋮ A shape preserving corner cutting algorithm with an enhanced accuracy

Cites Work

• Unnamed Item
• Scalar multivariate subdivision schemes and box splines
• Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction
• Analyzing midpoint subdivision
• A unified approach to subdivision algorithms near extraordinary vertices
• A family of subdivision schemes with cubic precision
• Polynomial reproduction by symmetric subdivision schemes
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Polynomial reproduction of multivariate scalar subdivision schemes
• Generalized Lane-Riesenfeld algorithms
• Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix
• Dual univariate \(m\)-ary subdivision schemes of de Rham-type
• Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
• Polynomial reproduction for univariate subdivision schemes of any arity
• Subdivision schemes in geometric modelling
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree
• A unified framework for primal/dual quadrilateral subdivision schemes

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