Separable and nonseparable multiwavelets in multiple dimensions
Journal of Computational Physics
Empirical Evaluation of Boundary Policies for Wavelet-Based Image Coding
WAA '01 Proceedings of the Second International Conference on Wavelet Analysis and Its Applications
Uniform Powell--Sabin spline wavelets
Journal of Computational and Applied Mathematics
Parameterization of m band affine frames with pre-assigned scaling filter
Journal of Computational and Applied Mathematics - Special issue on proceedings of the international symposium on computational mathematics and applications
Measuring and Improving Image Resolution by Adaptation of the Reciprocal Cell
Journal of Mathematical Imaging and Vision
Wavelet-based multiresolution with n√2 subdivision
Computing - Geometric modelling dagstuhl 2002
High-quality networked terrain rendering from compressed bitstreams
Proceedings of the twelfth international conference on 3D web technology
Image Approximation by Rectangular Wavelet Transform
Journal of Mathematical Imaging and Vision
Noniterative design of 2-channel FIR orthogonal filters
EURASIP Journal on Applied Signal Processing
Design of optimal quincunx filter banks for image coding
EURASIP Journal on Applied Signal Processing
A new general expression for 2-channel FIR paraunitary filterbanks
Signal Processing
Neville-Lagrange wavelet family for lossless image compression
Signal Processing
Method of Face Recognition Based on Red-Black Wavelet Transform and PCA
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Theoretical and Methodological Issues
Construction of arbitrary dimensional biorthogonal multiwavelet using lifting scheme
IEEE Transactions on Image Processing
Fully scalable intraband coding of wavelet-decomposed 3D meshes
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
Wavelets for adaptively refined 3√2-subdivision meshes
International Journal of Computers and Applications
Triangular wavelets: an isotropic image representation with hexagonal symmetry
Journal on Image and Video Processing
The lifting scheme for wavelet bi-frames: theory, structure, and algorithm
IEEE Transactions on Image Processing
Context-conditioned composite coding of 3D meshes based on wavelets on surfaces
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Two-dimensional geometric lifting
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
IEEE Transactions on Image Processing
Adaptive 2-D wavelet transform based on the lifting scheme with preserved vanishing moments
IEEE Transactions on Image Processing
Design of regular wavelets using a three-step lifting scheme
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Two-channel nonseparable wavelets statistically matched to 2-D images
Signal Processing
A model for the receptive field of retinal ganglion cells
Neural Networks
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We build discrete-time compactly supported biorthogonal wavelets and perfect reconstruction filter banks for any lattice in any dimension with any number of primal and dual vanishing moments. The associated scaling functions are interpolating. Our construction relies on the lifting scheme and inherits all of its advantages: fast transform, in-place calculation, and integer-to-integer transforms. We show that two lifting steps suffice: predict and update. The predict step can be built using multivariate polynomial interpolation, while update is a multiple of the adjoint of predict. While we concentrate on the discrete-time case, some discussion of convergence and stability issues together with examples is given