Surface subdivision schemes generated by refinable bivariate spline function vectors

DOI10.1016/S1063-5203(03)00062-9zbMath1026.68145OpenAlexW1979041713MaRDI QIDQ1413115

Qingtang Jiang, Charles K. Chui

Publication date: 16 November 2003

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1063-5203(03)00062-9

zbMATH Keywords

computer-aided design of smooth surfaceslocal averaging rulesvector subdivision schemes

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Spline approximation (41A15)

Related Items (16)

Highly symmetric \(\sqrt{3}\)-refinement bi-frames for surface multiresolution processing ⋮ BIORTHOGONAL WAVELETS WITH SIX-FOLD AXIAL SYMMETRY FOR HEXAGONAL DATA AND TRIANGLE SURFACE MULTIRESOLUTION PROCESSING ⋮ Fourier transform of Bernstein--Bézier polynomials ⋮ Tight frames of compactly supported multivariate multi-wavelets ⋮ Interpolatory quad/triangle subdivision schemes for surface design ⋮ Bivariate \(C ^{2}\) cubic spline quasi-interpolants on uniform Powell-Sabin triangulations of a rectangular domain ⋮ Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision ⋮ Triangular \(\sqrt 7\) and quadrilateral \(\sqrt 5\) subdivision schemes: regular case ⋮ \(C^{2}\) piecewise cubic quasi-interpolants on a 6-direction mesh ⋮ $C^1$ spline wavelets on triangulations ⋮ Refinable bivariate quartic $C^2$-splines for multi-level data representation and surface display ⋮ Symmetric multi-box splines for higher degree ⋮ Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices ⋮ Refinable bivariate quartic and quintic \(C^{2}\)-splines for quadrilateral subdivisions ⋮ From extension of Loop's approximation scheme to interpolatory subdivisions ⋮ Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices

Cites Work

• Shift-invariant spaces and linear operator equations
• Triangular \(\sqrt 3\)-subdivision schemes: The regular case
• \(\sqrt 3\)-subdivision schemes: Maximal sum rule orders
• Multiwavelets on the interval
• Composite primal/dual \(\sqrt 3\)-subdivision schemes
• A butterfly subdivision scheme for surface interpolation with tension control
• SU I (2, F [ z,1/z ) for F A Subfield of C]
• Multivariate refinable Hermite interpolant
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