Publications related to A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

Wavelets on graphs via spectral graph theory

We propose a novel method for constructing wavelet transforms of functions defined on the vertices of an arbitrary finite weighted graph. Our approach is based on defining scaling using the the graph analogue of the Fourier domain, namely the spectral deco ...

Elsevier2011

Comparison of Deconvolution Software: A User Point of View—Part 2

Daniel Sage, Alessandra Griffa

Deconvolution is an image processing technique that restores the effective object representation [3] [4], allowing to improve images analysis steps such as segmentation [1] or colocalization study [2]. We performed several deconvolution tests on different ...

EMS2010

Comparison of Deconvolution Software in 3D Microscopy: A User Point of View—Part 1

Daniel Sage, Alessandra Griffa

Deconvolution is an image restoration technique which improves image contrast, resolution and signal to noise ratio. In modern optical microscopy and biological research deconvolution is becoming a fundamental processing step which allows for better image ...

EMS2010

Accelerated Wavelet-Regularized Deconvolution for 3-D Fluorescence Microcopy

Michaël Unser, Matthieu Guerquin-Kern, Ilker Bayram, Raquel Terrés Cristofani

Modern deconvolution algorithms are often specified as minimization problems involving a non-quadratic regularization functional. When the latter is a wavelet-domain

ℓ _{ 1 }

-norm that favors sparse solutions, the problem can be solved by a simple it ...

IEEE2010

A Fast Multilevel Algorithm for Wavelet-Regularized Image Restoration

Michaël Unser, Cédric René Jean Vonesch

We present a multilevel extension of the popular "thresholded Landweber" algorithm for wavelet-regularized image restoration that yields an order of magnitude speed improvement over the standard fixed-scale implementation. The method is generic and targete ...

IEEE2009

Fast and automated wavelet-regularized image restoration in fluorescence microscopy

Cédric René Jean Vonesch

The subject of this thesis is image restoration, that is, deconvolution and denoising. Our work is motivated by applications in the rapidly expanding field of biological imaging and in particular fluorescence microscopy. Inverse problems in this area typic ...

EPFL2009

Gabor Wavelet Analysis and the Fractional Hilbert Transform

Michaël Unser, Kunal Narayan Chaudhury

We propose an amplitude-phase representation of the dual-tree complex wavelet transform (DT-ℂWT) which provides an intuitive interpretation of the associated complex wavelet coefficients. The representation, in particular, is based on the shifting action o ...

SPIE2009

On Sampling Lattices with Similarity Scaling Relationships

Dimitri Nestor Alice Van De Ville, Thierry Blu

We provide a method for constructing regular sampling lattices in arbitrary dimensions together with an integer dilation matrix. Subsampling using this dilation matrix leads to a similarity-transformed version of the lattice with a chosen density reduction ...

LATP2009

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

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Michaël Unser, Cédric René Jean Vonesch

We present a fast variational deconvolution algorithm that minimizes a quadratic data term subject to a regularization on the

\ell ^{ 1 }

-norm of the wavelet coefficients of the solution. Previously available methods have essentially consisted in alte ...

IEEE2008

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

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Wavelets on graphs via spectral graph theory

Comparison of Deconvolution Software: A User Point of View—Part 2

Comparison of Deconvolution Software in 3D Microscopy: A User Point of View—Part 1

Accelerated Wavelet-Regularized Deconvolution for 3-D Fluorescence Microcopy

A Fast Multilevel Algorithm for Wavelet-Regularized Image Restoration

Fast and automated wavelet-regularized image restoration in fluorescence microscopy

Gabor Wavelet Analysis and the Fractional Hilbert Transform

On Sampling Lattices with Similarity Scaling Relationships

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

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Gabor Wavelet Analysis and the Fractional Hilbert Transform

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

Accelerated Wavelet-Regularized Deconvolution for 3-D Fluorescence Microcopy

Wavelets on graphs via spectral graph theory

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

A Fast Multilevel Algorithm for Wavelet-Regularized Image Restoration

Comparison of Deconvolution Software in 3D Microscopy: A User Point of View—Part 1

Fast and automated wavelet-regularized image restoration in fluorescence microscopy

Comparison of Deconvolution Software: A User Point of View—Part 2

On Sampling Lattices with Similarity Scaling Relationships