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

Wavelets on the 2-Hyperboloid

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

We build wavelets on the 2-Hyperboloid. First, we define dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to

SO_0(1,2)

, we define a family of hyperbolic wavelets. The continuous wavelet transform (CW ...

2004

Complex Wavelets for Extended Depth-of-Field: A New Method for the Fusion of Multichannel Microscopy Images

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

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

Wiley-Liss2004

Discrete Wavelet Frames on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this paper the Continuous Wavelet Transform on the sphere is exploited to build the asociated Discrete Wavelet Frames. First, the half-continuous frames, i.e. frames where the position remains a continuous variable, is presented and then the fully discr ...

EUSIPCO2004

Wavelet-Based fMRI Statistical Analysis and Spatial Interpretation: A Unifying Approach

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

Wavelet-based statistical analysis methods for fMRI are able to detect brain activity without smoothing the data. Typically, the statistical inference is performed in the wavelet domain by testing the t-values of each wavelet coefficient; subsequently, an ...

IEEE2004

Wavelet and footprint sampling of signals with a finite rate of innovation

Martin Vetterli, Pier Luigi Dragotti

In this paper, we consider classes of not bandlimited signals, namely, streams of Diracs and piecewise polynomial signals, and show that these signals can be sampled and perfectly reconstructed using wavelets as sampling kernel. Due to the multiresolution ...

2004

Perceptual Blur and Ringing Metrics: Application to JPEG2000

Touradj Ebrahimi

In this paper, we present full-reference as well as no-reference metrics for typical JPEG 2000 compression artifacts, namely blur and ringing. These metrics are based on an analysis of the edges and adjacent regions in an image. Their perceptual significan ...

2004

Extended Depth-of-Field for Color Images in Light Microscopy: Image Fusion and 3D Visualization

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

Bright-field microscopy suffers from a relatively small depth-of-field. Typically, the specimen’s profile covers a range larger than the depth-of-field, and parts of the specimen that lie outside the object plane appear blurred. The specimen can be ‘scanne ...

2004

Guest Editorial: Wavelets in Medical Imaging

Michaël Unser

I. Introduction Wavelets are the result of collective efforts that recognized common threads between ideas and concepts that had been independently developed and investigated by distinct research communities. They provide a unifying framework for decompos ...

2003

Image security and processing in the JPEG 2000 compressed domain

Raphaël Grosbois

Digital images are becoming increasingly successful thanks to the development and the facilitated access to systems permitting their generation (i.e. camera, scanner, imaging software, etc). A digital image basically corresponds to a 2D discrete set of reg ...

EPFL2003

Fractal additive synthesis

Pietro Polotti

Musical and audio signals in general form a major part of the large amount of data exchange taking place in our information-based society. Transmission of high quality audio signals through narrow-band channels, such as the Internet, requires refined metho ...

EPFL2003

Low-Rate Reduced Complexity Image Compression using Directionlets

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Wavelets on the 2-Hyperboloid

Complex Wavelets for Extended Depth-of-Field: A New Method for the Fusion of Multichannel Microscopy Images

Discrete Wavelet Frames on the Sphere

Wavelet-Based fMRI Statistical Analysis and Spatial Interpretation: A Unifying Approach

Wavelet and footprint sampling of signals with a finite rate of innovation

Perceptual Blur and Ringing Metrics: Application to JPEG2000

Extended Depth-of-Field for Color Images in Light Microscopy: Image Fusion and 3D Visualization

Guest Editorial: Wavelets in Medical Imaging

Image security and processing in the JPEG 2000 compressed domain

Fractal additive synthesis

Guest Editorial: Wavelets in Medical Imaging

Complex Wavelets for Extended Depth-of-Field: A New Method for the Fusion of Multichannel Microscopy Images

Perceptual Blur and Ringing Metrics: Application to JPEG2000

Image security and processing in the JPEG 2000 compressed domain

Wavelet-Based fMRI Statistical Analysis and Spatial Interpretation: A Unifying Approach

Extended Depth-of-Field for Color Images in Light Microscopy: Image Fusion and 3D Visualization

Fractal additive synthesis

Wavelets on the 2-Hyperboloid

Wavelet and footprint sampling of signals with a finite rate of innovation

Discrete Wavelet Frames on the Sphere