Totally positive functions through nonstationary subdivision schemes

DOI10.1016/j.cam.2005.12.029zbMath1114.65017OpenAlexW1994673269MaRDI QIDQ859886

Francesca Pitolli, Laura Gori, Constanza Conti

Publication date: 22 January 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.12.029

zbMATH Keywords

B-splinestotal positivity

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Spline approximation (41A15)

Related Items (9)

Bell-shaped nonstationary refinable ripplets ⋮ A non-stationary combined ternary 5-point subdivision scheme with \(C^4\) continuity ⋮ Stationary and nonstationary affine combination of subdivision masks ⋮ Limits of level and parameter dependent subdivision schemes: a matrix approach ⋮ Multiresolution analyses originated from nonstationary subdivision schemes ⋮ Creating a bridge between cardinal B\(r\)-spline fundamental functions for interpolation and subdivision ⋮ Affine combination of B-spline subdivision masks and its non-stationary counterparts ⋮ Non-stationary subdivision schemes: state of the art and perspectives ⋮ A family of level-dependent biorthogonal wavelet filters for image compression

Cites Work

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• Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes
• Convergence of nonstationary cascade algorithms
• A Hurwitz Matrix is Totally Positive
• On Refinement Equations Determined by Pólya Frequency Sequences
• Nonstationary Subdivision Schemes and Multiresolution Analysis

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