Publications related to Filter bank

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

From Differential Equations to the Construction of New Wavelet-Like Bases

Michaël Unser, Ildar Khalidov

In this paper, an approach is introduced based on differential operators to construct wavelet-like basis functions. Given a differential operator L with rational transfer function, elementary building blocks are obtained that are shifted replicates of the ...

IEEE2006

Sampling and exact reconstruction of bandlimited signals with additive shot noise

Martin Vetterli, Pina Marziliano, Thierry Blu

In this correspondence, we consider sampling continuous-time periodic bandlimited signals which contain additive shot noise. The classical sampling scheme does not perfectly recover these particular nonbandlimited signals but only reconstructs a lowpass fi ...

IEEE2006

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

Registration of Aliased Images for Super-Resolution Imaging

Martin Vetterli, Sabine Süsstrunk, Luciano Sbaiz, Patrick Vandewalle

Super-resolution imaging techniques reconstruct a high resolution image from a set of low resolution images that are taken from almost the same point of view. The problem can be subdivided into two main parts: an image registration part where the different ...

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

On the Multidimensional Extension of the Quincunx Subsampling Matrix

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

The dilation matrix associated with the three-dimensional (3-D) face-centered cubic (FCC) sublattice is often considered to be the natural 3-D extension of the two-dimensional (2-D) quincunx dilation matrix. However, we demonstrate that both dilation matri ...

IEEE2005

Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

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

In this paper, we use polyharmonic B-splines to build multidimensional wavelet bases. These functions are nonseparable, multidimensional basis functions that are localized versions of radial basis functions. We show that Rabut's elementary polyharmonic B-s ...

IEEE2005

Directionlets

Vladan Velisavljevic

Efficient representation of geometrical information in images is very important in many image processing areas, including compression, denoising and feature extraction. However, the design of transforms that can capture these geometrical features and repre ...

EPFL2005

Exponential-Spline Wavelet Bases

Michaël Unser, Ildar Khalidov

We build a multiresolution analysis based on shift-invariant exponential B-spline spaces. We construct the basis functions for these spaces and for their orthogonal complements. This yields a new family of wavelet-like basis functions of

L _{ 2 }

, wit ...

IEEE2005

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Fast directional correlation on the sphere with steerable filters

From Differential Equations to the Construction of New Wavelet-Like Bases

Sampling and exact reconstruction of bandlimited signals with additive shot noise

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

Registration of Aliased Images for Super-Resolution Imaging

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

On the Multidimensional Extension of the Quincunx Subsampling Matrix

Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

Directionlets

Exponential-Spline Wavelet Bases

Fast directional correlation on the sphere with steerable filters

From Differential Equations to the Construction of New Wavelet-Like Bases

Sampling and exact reconstruction of bandlimited signals with additive shot noise

Registration of Aliased Images for Super-Resolution Imaging

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

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

On the Multidimensional Extension of the Quincunx Subsampling Matrix

Directionlets

Exponential-Spline Wavelet Bases