Bi-frames with 4-fold axial symmetry for quadrilateral surface multiresolution processing

DOI10.1016/J.CAM.2010.04.029zbMath1194.65031OpenAlexW2087528462MaRDI QIDQ989138

Qingtang Jiang

Publication date: 27 August 2010

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.2010.04.029

zbMATH Keywords

lifting schemewavelet bi-framesmultiresolution algorithm templates\(\sqrt 2\) refinement4-fold axial symmetryaffine bi-framesdyadic refinementquadrilateral surface multiresolution processingwavelet dual-frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Computer science aspects of computer-aided design (68U07) Numerical methods for wavelets (65T60) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

Construction of uniformly symmetric bi-frames based on multiresolution template algorithm ⋮ Wavelet bi-frames with uniform symmetry ⋮ Symmetric interpolatory dual wavelet frames ⋮ On construction of multivariate symmetric MRA-based wavelets ⋮ From frame-like wavelets to wavelet frames keeping approximation properties and symmetry ⋮ Multivariate symmetric refinable functions and function vectors

Cites Work

• Unnamed Item
• Unnamed Item
• Wavelet bi-frames with uniform symmetry for curve multiresolution processing
• Biorthogonal wavelets with 4-fold axial symmetry for quadrilateral surface multiresolution processing
• Symmetry property and construction of wavelets with a general dilation matrix
• Construction of multivariate compactly supported tight wavelet frames
• Tight wavelet frames for irregular multiresolution analysis
• Tight wavelet frames for subdivision
• Wavelet bi-frames with few generators from multivariate refinable functions
• Spectral properties of the transition operator associated to a multivariate refinement equation
• Box splines
• Decomposition of refinable spaces and applications to operator equations
• Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
• The lifting scheme: A custom-design construction of biorthogonal wavelets
• On multivariate compactly supported bi-frames
• Triangular \(\sqrt 7\) and quadrilateral \(\sqrt 5\) subdivision schemes: regular case
• Quincunx fundamental refinable functions and quincunx biorthogonal wavelets
• Compactly supported tight affine spline frames in 𝐿₂(ℝ^{𝕕})
• Tight compactly supported wavelet frames of arbitrarily high smoothness
• Approximation properties of multivariate wavelets
• Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets
• Quasi 4--8 subdivision
• 4--8 Subdivision

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