Publications related to Multiscale analysis of high resolution digital elevation models using the wavelet transform

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

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

Isotropic-Polyharmonic B-Splines and Wavelets

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

We propose the use of polyharmonic B-splines to build non-separable two-dimensional wavelet bases. The central idea is to base our design on the isotropic polyharmonic B-splines, a new type of polyharmonic B-splines that do converge to a Gaussian as the or ...

IEEE2004

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

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

Development and Experiences with A Fully-Digital Handheld Mapping System Operated from A Helicopter

Jan Skaloud, Julien Vallet

This paper presents a self-contained, light and flexible mapping system that can be quickly deployed into inaccessible areas. Although designed to measure wind-transported snow volumes and the avalanche mass balance over an experimental site, the system is ...

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

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

Orthogonal Hilbert transform filter banks and wavelets

Martin Vetterli, Thierry Blu

Complex wavelet transforms offer the opportunity to perform directional and coherent processing based on the local magnitude and phase of signals and images. Although denoising, segmentation, and image enhancement are significantly improved using complex w ...

IEEE2003

A New Family of Complex Rotation-Covariant Multiresolution Bases in 2D

Michaël Unser, Thierry Blu

We present complex rotation-covariant multiresolution families aimed for image analysis. Since they are complex-valued functions, they provide the important phase information, which is missing in the discrete wavelet transform with real wavelets. Our basis ...

SPIE2003

Multiscale analysis of high resolution digital elevation models using the wavelet transform

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Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Wavelets on the 2-Hyperboloid

Isotropic-Polyharmonic B-Splines and Wavelets

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

Development and Experiences with A Fully-Digital Handheld Mapping System Operated from A Helicopter

Guest Editorial: Wavelets in Medical Imaging

Fractal additive synthesis

Orthogonal Hilbert transform filter banks and wavelets

A New Family of Complex Rotation-Covariant Multiresolution Bases in 2D

Isotropic-Polyharmonic B-Splines and Wavelets

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

A New Family of Complex Rotation-Covariant Multiresolution Bases in 2D

Guest Editorial: Wavelets in Medical Imaging

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

Development and Experiences with A Fully-Digital Handheld Mapping System Operated from A Helicopter

Fractal additive synthesis

Wavelets on the 2-Hyperboloid

Orthogonal Hilbert transform filter banks and wavelets