Publications related to Vector quantization of image subbands: a survey

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

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Michaël Unser, Dimitri Nestor Alice Van De Ville, Ildar Khalidov

Tomographic reconstruction from positron emission tomography (PET) data is an ill-posed problem that requires regularization. An attractive approach is to impose an

\ell_{ 1 }

-regularization constraint, which favors sparse solutions in the wavelet dom ...

Institute of Electrical and Electronics Engineers2008

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

Space-frequency quantization for image compression with directionlets

Martin Vetterli, Vladan Velisavljevic

The standard separable 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 efficiently capture 1-D discontinuities, like edges or contours. ...

2007

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

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

Locally Adaptable Mathematical Morphology Using Distance Transformations

Olivier Cuisenaire

We investigate how common binary mathematical morphology operators can be adapted so that the size of the structuring element can vary across the image pixels. We show that when the structuring elements are balls of a metric, locally adaptable erosion and ...

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

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

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Pierre Vandergheynst, Oscar Divorra Escoda

In this work, we study the effect of inserting spatially local temporal adaptivity to motion compensated frame adaptive transforms for video coding. Motion compensation aligns the temporal wavelet decomposition along motion trajectories. However, valid tra ...

2004

Vector quantization of image subbands: a survey

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The Monogenic Riesz-Laplace Wavelet Transform

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

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

Space-frequency quantization for image compression with directionlets

Directionlets: Anisotropic Multidirectional representation with separable filtering

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

Locally Adaptable Mathematical Morphology Using Distance Transformations

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

Directionlets

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Directionlets: Anisotropic Multidirectional representation with separable filtering

Directionlets

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

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

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

Locally Adaptable Mathematical Morphology Using Distance Transformations

The Monogenic Riesz-Laplace Wavelet Transform

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Space-frequency quantization for image compression with directionlets

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding