Six-point subdivision schemes with cubic precision

DOI10.1155/2018/2324893zbMath1426.65028OpenAlexW2782062864MaRDI QIDQ1720569

Jun Shi, Zhi Liu, Li Zhang, Jie-qing Tan

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/2324893

Mathematics Subject Classification ID

Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

A family of binary univariate nonstationary quasi-interpolatory subdivision reproducing exponential polynomials

Cites Work

• A constructive algebraic strategy for interpolatory subdivision schemes induced by bivariate box splines
• An alternative method for constructing interpolatory subdivision from approximating subdivision
• A combined approximating and interpolating subdivision scheme with \(C^2\) continuity
• From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks
• A family of subdivision schemes with cubic precision
• On interpolatory subdivision from approximating subdivision scheme
• A unified framework for interpolating and approximating univariate subdivision
• A 4-point interpolatory subdivision scheme for curve design
• A Chaikin-based variant of Lane-Riesenfeld algorithm and its non-tensor product extension
• Polynomial reproduction of multivariate scalar subdivision schemes
• Polynomial reproduction for univariate subdivision schemes of any arity
• From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms
• Solving Bezout-like polynomial equations for the design of interpolatory subdivision schemes
• Subdivision schemes in geometric modelling

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