BIORTHOGONAL WAVELETS WITH SIX-FOLD AXIAL SYMMETRY FOR HEXAGONAL DATA AND TRIANGLE SURFACE MULTIRESOLUTION PROCESSING

DOI10.1142/S0219691311004316zbMath1243.42046OpenAlexW2011076894MaRDI QIDQ2891002

Qingtang Jiang

Publication date: 12 June 2012

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691311004316

zbMATH Keywords

hexagonal latticebiorthogonal \(\sqrt 3\)-refinement waveletbiorthogonal dyadic refinement waveletbiorthogonal hexagonal filter bankhexagonal datasix-fold symmetric filter banksurface multiresolution decomposition/reconstruction

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 (10)

Construction of uniformly symmetric bi-frames based on multiresolution template algorithm ⋮ Highly symmetric \(\sqrt{3}\)-refinement bi-frames for surface multiresolution processing ⋮ Sparse representation on graphs by tight wavelet frames and applications ⋮ Hexagonally symmetric orthogonal filters with \(\sqrt{3}\) refinement ⋮ Wavelet bi-frames with uniform symmetry for curve multiresolution processing ⋮ Symmetric interpolatory dual wavelet frames ⋮ Highly symmetric bi-frames for triangle surface multiresolution processing ⋮ From frame-like wavelets to wavelet frames keeping approximation properties and symmetry ⋮ Multiscale representation of surfaces by tight wavelet frames with applications to denoising ⋮ Multivariate symmetric refinable functions and function vectors

Cites Work

• Unnamed Item
• Spectral properties of the transition operator associated to a multivariate refinement equation
• A stability criterion for biorthogonal wavelet bases and their related subband coding scheme
• Accuracy of lattice translates of several multidimensional refinable functions
• Decomposition of refinable spaces and applications to operator equations
• Triangular \(\sqrt 3\)-subdivision schemes: The regular case
• \(\sqrt 3\)-subdivision schemes: Maximal sum rule orders
• Surface subdivision schemes generated by refinable bivariate spline function vectors
• Compactly supported bidimensional wavelet bases with hexagonal symmetry
• Biorthogonal Loop-subdivision wavelets
• The lifting scheme: A custom-design construction of biorthogonal wavelets
• Composite primal/dual \(\sqrt 3\)-subdivision schemes
• Designing composite triangular subdivision schemes
• Texture‐based tissue characterization for high‐resolution CT scans of coronary arteries
• Approximation properties of multivariate wavelets
• Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets
• Orthogonal and Biorthogonal $\sqrt 3$-Refinement Wavelets for Hexagonal Data Processing

This page was built for publication: BIORTHOGONAL WAVELETS WITH SIX-FOLD AXIAL SYMMETRY FOR HEXAGONAL DATA AND TRIANGLE SURFACE MULTIRESOLUTION PROCESSING