Publications related to Low-Rate Reduced Complexity Image Compression using Directionlets

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

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

Stereographic Wavelet Frames on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this paper we exploit the Continuous Wavelet Transform (CWT) on the two dimensional sphere, introduced previously by two of us, to build associated Discrete Wavelet Frames. We first explore half-continuous frames, i.e., frames where the position remains ...

2005

Which Wavelet Bases Are the Best for Image Denoising?

Michaël Unser, Thierry Blu, Florian Luisier

We use a comprehensive set of non-redundant orthogonal wavelet transforms and apply a denoising method called SUREshrink in each individual wavelet subband to denoise images corrupted by additive Gaussian white noise. We show that, for various images and a ...

SPIE2005

Exponential-Spline Wavelet Bases

Michaël Unser, Ildar Khalidov

We build a multiresolution analysis based on shift-invariant exponential B-spline spaces. We construct the basis functions for these spaces and for their orthogonal complements. This yields a new family of wavelet-like basis functions of

L _{ 2 }

, wit ...

IEEE2005

Correspondence principle between spherical and Euclidean wavelets

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

Wavelets on the sphere are reintroduced and further developed independently of the original group theoretic formalism, in an equivalent, but more straightforward approach. These developments are motivated by the interest of the scale-space analysis of the ...

2005

Generalized Biorthogonal Daubechies Wavelets

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We propose a generalization of the Cohen-Daubechies-Feauveau (CDF) and 9⁄7 biorthogonal wavelet families. This is done within the framework of non-stationary multiresolution analysis, which involves a sequence of embedded approximation spaces generated by ...

SPIE2005

Wavelet Transform Codec for Fast Retrieval of Slices of 3D objects

Vijayaraghavan Thirumalai

We propose a method to encode a 3D magnetic resonance image data and a decoder in such way that fast access to any 2D image is possible by decoding only the corresponding information from each subband image and thus provides minimum decoding time. This wil ...

2005

Rate-distortion optimized geometrical image processing

Rahul Shukla

Since geometrical features, like edges, represent one of the most important perceptual information in an image, efficient exploitation of such geometrical information is a key ingredient of many image processing tasks, including compression, denoising and ...

EPFL2004

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

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

Low-Rate Reduced Complexity Image Compression using Directionlets

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Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Stereographic Wavelet Frames on the Sphere

Which Wavelet Bases Are the Best for Image Denoising?

Exponential-Spline Wavelet Bases

Correspondence principle between spherical and Euclidean wavelets

Generalized Biorthogonal Daubechies Wavelets

Wavelet Transform Codec for Fast Retrieval of Slices of 3D objects

Rate-distortion optimized geometrical image processing

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

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

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Stereographic Wavelet Frames on the Sphere

Wavelet Transform Codec for Fast Retrieval of Slices of 3D objects

Rate-distortion optimized geometrical image processing

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Generalized Biorthogonal Daubechies Wavelets

Which Wavelet Bases Are the Best for Image Denoising?

Exponential-Spline Wavelet Bases

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

Correspondence principle between spherical and Euclidean wavelets