Publications related to Multiwavelet-Like Bases for High Quality Image Interpolation

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

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 III-posed problem. Traditional magnification relies on resampling an interpolation model at the appropriate rate; unfortunately, this simple solution is blind to ...

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

The Marr Wavelet Pyramid

Michaël Unser, Dimitri Nestor Alice Van De Ville

We introduce a new semi-orthogonal complex wavelet basis of

L _{ 2 }

(\mathbb{R} ^{ 2 }

). The basis functions are associated to the complex gradient-Laplace operator, which plays a central role in image processing. We define analytically a single- ...

IEEE2008

Multiple Description Coding with Redundant Expansions and Application to Image Communications

Pascal Frossard, Ivana Radulovic

Multiple description coding offers an elegant and competitive solution for data transmission over lossy packetbased networks, with a graceful degradation in quality as losses increase. In the same time, coding techniques based on redundant transforms give ...

2007

On Interpolation and Resampling of Discrete Data

Pouya Dehghani Tafti

This letter introduces a new representation of discrete signals based on the mathematical notions of functionals and continuous dual spaces. A new and more general sampling theorem is also suggested. Next, the problems of interpolating and resampling discr ...

IEEE2006

FST-based Reconstruction of 3D-models from Non-Uniformly Sampled Datasets on the Sphere

Pascal Frossard, Ivana Tosic

This paper proposes a new method for reconstruction of star-shaped 3D surfaces from scattered datasets, where such surfaces are considered as signals living in the space of square integrable functions on the unit sphere. We first propose a generalization o ...

2006

Nonideal Sampling and Interpolation from Noisy Observations in Shift-Invariant Spaces

Michaël Unser

Digital analysis and processing of signals inherently relies on the existence of methods for reconstructing a continuous-time signal from a sequence of corrupted discrete-time samples. In this paper, a general formulation of this problem is developed that ...

IEEE2006

A Frequency Domain Approach to Registration of Aliased Images with Application to Super-Resolution

Martin Vetterli, Sabine Süsstrunk, Patrick Vandewalle

Super-resolution algorithms reconstruct a high resolution image from a set of low resolution images of a scene. Precise alignment of the input images is an essential part of such algorithms. If the low resolution images are undersampled and have aliasing a ...

2006

Multiple description coding with redundant expansions and application to image communication

Pascal Frossard, Ivana Radulovic

Multiple description coding offers an elegant and competitive solution for data transmission over lossy packetbased networks, with a graceful degradation in quality as losses increase. On the other hand, coding techniques based on redundant transforms give ...

2006

Efficient Reconstruction of Hexagonally Sampled Data Using Three-Directional Box-Splines

Michaël Unser, Dimitri Nestor Alice Van De Ville

Three-directional box-splines are particularly well-suited to interpolate and approximate hexagonally sampled data. In this paper, we propose a computationally efficient end-to-end reconstruction process. First, we introduce a prefiltering step that is bas ...

IEEE2006

Multiwavelet-Like Bases for High Quality Image Interpolation

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Consistent and Regularized Magnification of Images

Consistent And Regularized Magnification Of Images

The Marr Wavelet Pyramid

Multiple Description Coding with Redundant Expansions and Application to Image Communications

On Interpolation and Resampling of Discrete Data

FST-based Reconstruction of 3D-models from Non-Uniformly Sampled Datasets on the Sphere

Nonideal Sampling and Interpolation from Noisy Observations in Shift-Invariant Spaces

A Frequency Domain Approach to Registration of Aliased Images with Application to Super-Resolution

Multiple description coding with redundant expansions and application to image communication

Efficient Reconstruction of Hexagonally Sampled Data Using Three-Directional Box-Splines

The Marr Wavelet Pyramid

Multiple Description Coding with Redundant Expansions and Application to Image Communications

Efficient Reconstruction of Hexagonally Sampled Data Using Three-Directional Box-Splines

Multiple description coding with redundant expansions and application to image communication

Consistent And Regularized Magnification Of Images

Consistent and Regularized Magnification of Images

FST-based Reconstruction of 3D-models from Non-Uniformly Sampled Datasets on the Sphere

On Interpolation and Resampling of Discrete Data

A Frequency Domain Approach to Registration of Aliased Images with Application to Super-Resolution

Nonideal Sampling and Interpolation from Noisy Observations in Shift-Invariant Spaces