Tight frames of multidimensional wavelets
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Publication:1375135
DOI10.1007/BF02648882zbMath0884.42025MaRDI QIDQ1375135
Publication date: 2 April 1998
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/59523
multiresolution analysistight framesdilation matrixscaling functionwavelet matrixmultidimensional waveletsscaling equationsconditions of orthogonality
Related Items (30)
Wavelet frames and duals: a short survey ⋮ Construction of symmetric orthogonal bases of wavelets and tight wavelet frames with integer dilation factor ⋮ Some smooth compactly supported tight wavelet frames with vanishing moments ⋮ Frame multiresolution analysis of continuous piecewise linear functions ⋮ A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces ⋮ Causal FIR symmetric paraunitary matrix extension and construction of symmetric tight \(M\)-dilated framelets ⋮ Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces ⋮ Wavelet bi-frames with uniform symmetry for curve multiresolution processing ⋮ On a class of weak nonhomogeneous affine bi-frames for reducing subspaces of \(L^2(\mathbb R^d)\) ⋮ Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation ⋮ On the holes of a class of bidimensional nonseparable wavelets. ⋮ Filters for anisotropic wavelet decompositions ⋮ On low pass filters in a frame multiresolution analysis ⋮ Weak Nonhomogeneous Wavelet Bi-Frames for Reducing Subspaces of Sobolev Spaces ⋮ A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\) ⋮ Refinable function-based construction of weak (quasi-)affine bi-frames ⋮ GMRA-BASED CONSTRUCTION OF FRAMELETS IN REDUCING SUBSPACES OF L2(ℝd) ⋮ Extension principles for affine dual frames in reducing subspaces ⋮ Meyer type wavelet bases in \(\mathbb R^{2}\) ⋮ On symmetric compactly supported wavelets with vanishing moments associated to \(E_d^{(2)}(\mathbb{Z})\) dilations ⋮ The characterization of a class of multivariate MRA and semi-orthogonal Parseval frame wavelets ⋮ Explicit construction of framelets ⋮ The construction of multivariate periodic wavelet bi-frames ⋮ The construction of \(r\)-regular wavelets for arbitrary dilations ⋮ A class of bidimensional FMRA wavelet frames ⋮ Some smooth compactly supported tight framelets associated to the quincunx matrix ⋮ Weak (quasi-)affine bi-frames for reducing subspaces of \(L^{2}(\mathbb{R}^{d})\) ⋮ Multivariate tight affine frames with a small number of generators ⋮ A characterization of nonhomogeneous wavelet bi-frames for reducing subspaces of Sobolev spaces ⋮ Isomorphism in wavelets
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