Publications related to ESMAC-SIAMOC 2001 Joint Congress: Body Postures and Walking Period Estimation Using a Kinematic Sensor: Application for Long Term Monitoring of Physical Activity in Elderly Subjects

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Michaël Unser, Dimitri Nestor Alice Van De Ville

A distinction is usually made between wavelet bases and wavelet frames. The former are associated with a one-to-one representation of signals, which is somewhat constrained but most efficient computationally. The latter are over-complete, but they offer ad ...

Institute of Electrical and Electronics Engineers2008

The Monogenic Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Katarina Balac

We introduce a family of real and complex wavelet bases of

L _{ 2 }

(\mathbb{R} ^{ 2 }

) that are directly linked to the Laplace and Riesz operators. The crucial point is that the family is closed with respect to the Riesz transform which maps a re ...

EURASIP2008

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

Kinematics and dynamic complexity of postural transitions in frail elderly subjects

Kamiar Aminian, Anisoara Ionescu, Arash Salarian, Raluca Lidia Ganea

The aim of this study was to propose a methodology allowing a detailed characterization of body sit-to-stand/stand-to-sit postural transition. Parameters characterizing the kinematics of the trunk movement during sit-to-stand (Si-St) postural transition we ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2007

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

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

Stair climbing detection during daily physical activity using a miniature gyroscope

Kamiar Aminian, Anisoara Ionescu, Bijan Najafi, Brian Coley

A new method of monitoring physical activity that is able to detect walking upstairs using a miniature gyroscope attached to the shank is presented. Wavelet transformation, in conjunction with a simple kinematics model, was used to detect toe-off, heel-str ...

2005

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

Ambulatory analysis of physical activities in Parkinson's disease using kinematics sensors

Kamiar Aminian, Arash Salarian

INTRODUCTION: Motor performance in Park-inson’s Disease (PD) patients is generally analyzed in laboratory. However, laboratory techniques do not allow estimating long-term ON/OFF fluctua-tion in PD patients. Here, we propose an ambula-tory system based on ...

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

ESMAC-SIAMOC 2001 Joint Congress: Body Postures and Walking Period Estimation Using a Kinematic Sensor: Application for Long Term Monitoring of Physical Activity in Elderly Subjects

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The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

The Monogenic Riesz-Laplace Wavelet Transform

Continuous Wavelet Transform on the Hyperboloid

Kinematics and dynamic complexity of postural transitions in frail elderly subjects

Low-Rate Reduced Complexity Image Compression using Directionlets

Wavelets on non-Euclidean manifolds

Stair climbing detection during daily physical activity using a miniature gyroscope

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Ambulatory analysis of physical activities in Parkinson's disease using kinematics sensors

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

The Monogenic Riesz-Laplace Wavelet Transform

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Low-Rate Reduced Complexity Image Compression using Directionlets

Continuous Wavelet Transform on the Hyperboloid

Wavelets on non-Euclidean manifolds

Stair climbing detection during daily physical activity using a miniature gyroscope

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

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

Kinematics and dynamic complexity of postural transitions in frail elderly subjects

Ambulatory analysis of physical activities in Parkinson's disease using kinematics sensors