Publications related to The spatial structure of turbulence at production wave-numbers using orthonormal wavelet

SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding

We propose a vector/matrix extension of our denoising algorithm initially developed for grayscale images, in order to efficiently process multichannel (e.g., color) images. This work follows our recently published SURE-LET approach where the denoising algo ...

Institute of Electrical and Electronics Engineers2008

Continuous Wavelet Transform on the Hyperboloid

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

In this paper we build a Continuous Wavelet Transform (CWT) on the upper sheet of the 2-hyperboloid

H_+^2

. First, we define a class of suitable dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to $SO ...

2007

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

Wavelets on non-Euclidean manifolds

Iva Bogdanova Vandergheynst

This dissertation investigates wavelets as a multiscale tool on non-Euclidean manifolds. The growing importance of using non-Euclidean manifolds as a geometric model for data comes from the diversity of the data collected. In this work we mostly deal with ...

EPFL2006

Locally Adaptive Wavelet-Based Image Interpolation

Martin Vetterli

We describe a spatially adaptive algorithm for image interpolation. The algorithm uses a wavelet transform to extract information about sharp variations in the low-resolution image and then implicitly applies interpolation which adapts to the image local s ...

2006

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

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

The approximate behavior of wavelets as differential operators is often considered as one of their most fundamental properties. In this paper, we investigate how we can further improve on the wavelet's behavior as differentiator. In particular, we propose ...

SPIE2005

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Michaël Unser, Theo Lasser

The combination of wavelength multiplexing and spectral interferometry allows for the encoding of multidimensional information and its transmission over a mono-dimensional channel; for example, measurements of a surface's topography acquired through a mono ...

SPIE2005

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

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

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

Microscopy imaging often suffers from limited depth-of-focus. However, the specimen can be “optically sectioned” by moving the object along the optical axis; different areas appear in focus in different images. Extended depth-of-focus is a fusion algorithm ...

IEEE2004

The spatial structure of turbulence at production wave-numbers using orthonormal wavelet

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SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding

Continuous Wavelet Transform on the Hyperboloid

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

Wavelets on non-Euclidean manifolds

Locally Adaptive Wavelet-Based Image Interpolation

Low-Rate Reduced Complexity Image Compression using Directionlets

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Solving the Couette inverse problem using a wavelet-vaguelette decomposition

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

Wavelets on non-Euclidean manifolds

Locally Adaptive Wavelet-Based Image Interpolation

Low-Rate Reduced Complexity Image Compression using Directionlets

SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding

Continuous Wavelet Transform on the Hyperboloid

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

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Solving the Couette inverse problem using a wavelet-vaguelette decomposition

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging