Publications related to Using Iterated Rational Filter Banks Within the ARSIS Concept for Producing 10 m Landsat Multispectral Images

Complex Wavelet Bases, Steerability, and the Marr-Like Pyramid

Michaël Unser, Dimitri Nestor Alice Van De Ville

Our aim in this paper is to tighten the link between wavelets, some classical image-processing operators, and David Marr's theory of early vision. The cornerstone of our approach is a new complex wavelet basis that behaves like a smoothed version of the Gr ...

Institute of Electrical and Electronics Engineers2008

Shift-Invariant Spaces from Rotation-Covariant Functions

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

We consider shift-invariant multiresolution spaces generated by rotation-covariant functions ρ in

\mathbb{R}^{ 2 }

. To construct corresponding scaling and wavelet functions, ρ has to be localized with an appropriate multiplier, such that the localized ...

Elsevier2008

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Michaël Unser, Cédric René Jean Vonesch

Wavelet-domain l(1)-regularization is a promising approach to deconvolution. The corresponding variational problem can be solved using a "thresholded Landweber" (TL) algorithm. While this iterative procedure is simple to implement, it is known to converge ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Generalized Daubechies Wavelet Families

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We present a generalization of the orthonormal Daubechies wavelets and of their related biorthogonal flavors (Cohen-Daubechies-Feauveau, 9⁄7). Our fundamental constraint is that the scaling functions should reproduce a predefined set of exponential polynom ...

IEEE2007

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Dimitri Nestor Alice Van De Ville

We present multiresolution spaces of complex rotation-covariant functions, deployed on the 2-D hexagonal lattice. The designed wavelets, which are complex-valued, provide an important phase information for image analysis, which is missing in the discrete w ...

SPIE2007

Locally Adaptive Wavelet-Based Image Interpolation

Martin Vetterli

We describe a spatially adaptive algorithm for image interpolation. The algorithm uses a wavelet transform to extract information about sharp variations in the low-resolution image and then implicitly applies interpolation which adapts to the image local s ...

2006

Fast directional correlation on the sphere with steerable filters

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

A fast algorithm is developed for the directional correlation of scalar band-limited signals and band-limited steerable filters on the sphere. The asymptotic complexity associated to it through simple quadrature is of order O(L^5), where 2L stands for the ...

2006

Wavelets on non-Euclidean manifolds

Iva Bogdanova Vandergheynst

This dissertation investigates wavelets as a multiscale tool on non-Euclidean manifolds. The growing importance of using non-Euclidean manifolds as a geometric model for data comes from the diversity of the data collected. In this work we mostly deal with ...

EPFL2006

Image Coding of 3D Volume Using Wavelet Transform for Fast Retrieval of 2D Images

Vijayaraghavan Thirumalai

An encoder/decoder system for 3D volumetric medical data is proposed. The system allows fast access to any 2D image by decoding only the relevant information from each subband image and thus provides minimum decoding time. This will be of immense use for t ...

2006

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

Martin Vetterli, Minh Do

The limitations of commonly used separable extensions of one-dimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a "true" two-dimensional transform that can c ...

2005

Using Iterated Rational Filter Banks Within the ARSIS Concept for Producing 10 m Landsat Multispectral Images

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Complex Wavelet Bases, Steerability, and the Marr-Like Pyramid

Shift-Invariant Spaces from Rotation-Covariant Functions

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Generalized Daubechies Wavelet Families

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Locally Adaptive Wavelet-Based Image Interpolation

Fast directional correlation on the sphere with steerable filters

Wavelets on non-Euclidean manifolds

Image Coding of 3D Volume Using Wavelet Transform for Fast Retrieval of 2D Images

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

Fast directional correlation on the sphere with steerable filters

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Complex Wavelet Bases, Steerability, and the Marr-Like Pyramid

Generalized Daubechies Wavelet Families

Shift-Invariant Spaces from Rotation-Covariant Functions

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Wavelets on non-Euclidean manifolds

Image Coding of 3D Volume Using Wavelet Transform for Fast Retrieval of 2D Images

Locally Adaptive Wavelet-Based Image Interpolation

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation