Publications related to IMAGING - Administration

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

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Michaël Unser, Dimitri Nestor Alice Van De Ville

A distinction is usually made between wavelet bases and wavelet frames. The former are associated with a one-to-one representation of signals, which is somewhat constrained but most efficient computationally. The latter are over-complete, but they offer ad ...

Institute of Electrical and Electronics Engineers2008

The Monogenic Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Katarina Balac

We introduce a family of real and complex wavelet bases of

L _{ 2 }

(\mathbb{R} ^{ 2 }

) that are directly linked to the Laplace and Riesz operators. The crucial point is that the family is closed with respect to the Riesz transform which maps a re ...

EURASIP2008

Consistent and Regularized Magnification of Images

Michaël Unser, Philippe Thévenaz, Aurélien Bourquard, Katarina Balac

Because more output data must be created than is available from the input, magnification is an ill-posed problem. Traditional magnification relies on resampling an interpolation model at the appropriate rate; unfortunately, this simple solution is blind to ...

IEEE2008

Variational B-Spline Level-Set Method for Fast Image Segmentation

Michaël Unser, Philippe Thévenaz

In the field of image segmentation, most of level-set-based active contour approaches are based on a discrete representation of the associated implicit function. We present in this paper a different formulation where the level-set is modelled as a continuo ...

IEEE2008

Short basis functions for constant-variance interpolation - art. no. 69142L

Michaël Unser, Philippe Thévenaz, Thierry Blu

An interpolation model is a necessary ingredient of intensity-based registration methods. The properties of such a model depend entirely on its basis function, which has been traditionally characterized by features such as its order of approximation and it ...

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

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

Super-resolution from unregistered omnidirectional images

Pascal Frossard, Zafer Arican

This paper addresses the problem of super- resolution from low resolution spherical images that are not perfectly registered. Such a problem is typically en- countered in omnidirectional vision scenarios with re- duced resolution sensors in imperfect setti ...

2008

The Marr Wavelet Pyramid and Multiscale Directional Image Analysis

Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage, Katarina Balac

The “Marr wavelet pyramid” is a wavelet decomposition that implements a multiscale version of the complex gradient-Laplace operator. It is closely linked to a multiresolution analysis of

L _{ 2 }

(\mathbb{R} ^{ 2 }

) and it has a fast filterbank im ...

EURASIP2008

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

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

The Monogenic Riesz-Laplace Wavelet Transform

Consistent and Regularized Magnification of Images

Variational B-Spline Level-Set Method for Fast Image Segmentation

Short basis functions for constant-variance interpolation - art. no. 69142L

Shift-Invariant Spaces from Rotation-Covariant Functions

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

Super-resolution from unregistered omnidirectional images

The Marr Wavelet Pyramid and Multiscale Directional Image Analysis

Shift-Invariant Spaces from Rotation-Covariant Functions

Short basis functions for constant-variance interpolation - art. no. 69142L

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

Consistent and Regularized Magnification of Images

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

Variational B-Spline Level-Set Method for Fast Image Segmentation

Super-resolution from unregistered omnidirectional images

The Marr Wavelet Pyramid and Multiscale Directional Image Analysis

The Monogenic Riesz-Laplace Wavelet Transform

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression