Publications related to An Exact Method for Computing the Area Moments of Wavelet and Spline Curves

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

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

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 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

A fast iterative thresholding algorithm for wavelet-regularized deconvolution - art. no. 67010D

Michaël Unser, Cédric René Jean Vonesch

We present an iterative deconvolution algorithm that minimizes a functional with a non-quadratic wavelet-domain regularization term. Our approach is to introduce subband-dependent parameters into the bound optimization framework of Daubechies et al.; it is ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2007

Low-Rate Reduced Complexity Image Compression using Directionlets

Martin Vetterli, Vladan Velisavljevic, Pier Luigi Dragotti

The standard separable two-dimensional (2-D) wavelet transform (WT) has recently achieved a great success in image processing because it provides a sparse representation of smooth images. However, it fails to capture efficiently one-dimensional (1-D) disco ...

2006

Directionlets: Anisotropic Multidirectional representation with separable filtering

Martin Vetterli, Vladan Velisavljevic, Pier Luigi Dragotti

In spite of the success of the standard wavelet transform (WT) in image processing in recent years, the efficiency of its representation is limited by the spatial isotropy of its basis functions built in the horizontal and vertical directions. One-dimensio ...

2006

Steerable wavelet analysis of CMB structures alignment

Pierre Vandergheynst, Yves Wiaux

This paper reviews the application of a novel methodology for analysing the isotropy of the universe by probing the alignment of local structures in the CMB. The strength of the proposed methodology relies on the steerable wavelet filtering of the CMB sign ...

2006

Solving the Couette inverse problem using a wavelet-vaguelette decomposition

Christophe Ancey

This paper develops a new approach to computing the shear rate from the torque and rotationalvelocity measurements in a Couette rheometer. It is based on wavelet-vaguelette decomposition (WVD) proposed by Donoho (Donoho, D., Appl. Comput. Harmon. Anal. 2, ...

2005

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

Generalized L-Spline Wavelet Bases

Michaël Unser, Thierry Blu, Ildar Khalidov

We build wavelet-like functions based on a parametrized family of pseudo-differential operators

L _{ v }

that satisfy some admissibility and scalability conditions. The shifts of the generalized B-splines, which are localized versions of the Green func ...

SPIE2005

An Exact Method for Computing the Area Moments of Wavelet and Spline Curves

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

Shift-Invariant Spaces from Rotation-Covariant Functions

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

A fast iterative thresholding algorithm for wavelet-regularized deconvolution - art. no. 67010D

Low-Rate Reduced Complexity Image Compression using Directionlets

Directionlets: Anisotropic Multidirectional representation with separable filtering

Steerable wavelet analysis of CMB structures alignment

Solving the Couette inverse problem using a wavelet-vaguelette decomposition

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

Generalized L-Spline Wavelet Bases

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

Low-Rate Reduced Complexity Image Compression using Directionlets

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

Shift-Invariant Spaces from Rotation-Covariant Functions

A fast iterative thresholding algorithm for wavelet-regularized deconvolution - art. no. 67010D

Steerable wavelet analysis of CMB structures alignment

Directionlets: Anisotropic Multidirectional representation with separable filtering

Generalized L-Spline Wavelet Bases

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

Solving the Couette inverse problem using a wavelet-vaguelette decomposition