Publications related to Optimally Localized Wavelets and Smoothing Kernels

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

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

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

General state-space models

Thomas Gsponer

In time series analysis state-space models provide a wide and flexible class. The basic idea is to describe an unobservable phenomenon of interest on the basis of noisy data. The first constituent of such a model is the so-called state equation, which char ...

EPFL2004

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

Multiresolution Moment Filters: Theory and Applications

Michaël Unser, Michael Sühling, Muthuvel Arigovindan

We introduce local weighted geometric moments that are computed from an image within a sliding window at multiple scales. When the window function satisfies a two-scale relation, we prove that lower order moments can be computed efficiently at dyadic scale ...

IEEE2004

Fractional Splines, Wavelet Bases, and Applications

Michaël Unser

The purpose of this presentation is to describe a recent family of basis functions—the fractional B-splines—which appear to be intimately connected to fractional calculus. Among other properties, we show that they are the convolution kernels that link the ...

ENSEIRB2004

Pedestrian head detection using automatic scale selection for feature detection and statistical edge curvature analysis

Jean-Philippe Thiran, Gianluca Antonini

In this report we focus on pedestrian head detection and tracking in video sequences. The task is not trivial in real and complex scenarios where the deformation induced by the perspective field requires a multi-scale analy- sis. Multi-scale shape models f ...

2004

A discrete choice pedestrian behavior model for pedestrian detection in visual tracking systems

Michel Bierlaire, Jean-Philippe Thiran, Gianluca Antonini

Different approaches to the moving object detection in multi-object tracking systems use dynamic-based models. In this paper we propose the use of a discrete choice model (DCM) of pedestrian behavior and its application to the problem of the target detecti ...

IEEE2004

Optimally Localized Wavelets and Smoothing Kernels

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Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

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

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

Wavelets on the 2-Hyperboloid

General state-space models

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

Multiresolution Moment Filters: Theory and Applications

Fractional Splines, Wavelet Bases, and Applications

Pedestrian head detection using automatic scale selection for feature detection and statistical edge curvature analysis

A discrete choice pedestrian behavior model for pedestrian detection in visual tracking systems

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

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Multiresolution Moment Filters: Theory and Applications

General state-space models

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

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

Pedestrian head detection using automatic scale selection for feature detection and statistical edge curvature analysis

A discrete choice pedestrian behavior model for pedestrian detection in visual tracking systems

Wavelets on the 2-Hyperboloid

Fractional Splines, Wavelet Bases, and Applications