Publications related to Wavelet-Based Detection of Stimulus Responses in Time-Lapse Microscopy

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

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

Wavelets Versus Resels in the Context of fMRI: Establishing the Link with SPM

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

Statistical Parametric Mapping (SPM) is a widely deployed tool for detecting and analyzing brain activity from fMRI data. One of SPM's main features is smoothing the data by a Gaussian filter to increase the SNR. The subsequent statistical inference is bas ...

SPIE2003

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

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

Body movement monitoring device

Kamiar Aminian, Pascal Morel, Bijan Najafi, Jean Gramiger

The invention relates to a device and a method for measuring gait parameters. It is based on autonomous sensing units for estimation of spatio-temporal parameters during walking and uses a wavelet transform to compute the values of gait parameters from the ...

2003

Statistical wavelet analysis of functional images of the brain

Functional magnetic resonance imaging (fMRI) is a recent, non-invasive technique that allows the measurement of brain metabolism while a subject is performing specific motor or cognitive tasks. The practical difficulty is that the signal changes are very s ...

EPFL2002

Fourier and wavelet transform analysis, a tool for visualising regular patterns in DNA

Pierre Vandergheynst

A correlation function that compares each base in a DNA sequence to its various neighbours and which is subsequently processed by Fourier and wavelet transforms has been developed. The procedure has been applied to sequences from the human chromosome 22, t ...

2000

Optimizing Wavelets for the Analysis of fMRI Data

Michaël Unser, Thierry Blu

Ruttimann et al. have proposed to use the wavelet transform for the detection and localization of activation patterns in functional magnetic resonance imaging (fMRI). Their main idea was to apply a statistical test in the wavelet domain to detect the coeff ...

SPIE2000

Wavelet-Based Detection of Stimulus Responses in Time-Lapse Microscopy

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

Wavelets on the 2-Hyperboloid

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

Wavelets Versus Resels in the Context of fMRI: Establishing the Link with SPM

Guest Editorial: Wavelets in Medical Imaging

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

Body movement monitoring device

Statistical wavelet analysis of functional images of the brain

Fourier and wavelet transform analysis, a tool for visualising regular patterns in DNA

Optimizing Wavelets for the Analysis of fMRI Data

Guest Editorial: Wavelets in Medical Imaging

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

Wavelets Versus Resels in the Context of fMRI: Establishing the Link with SPM

Body movement monitoring device

Optimizing Wavelets for the Analysis of fMRI Data

Wavelets on the 2-Hyperboloid

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

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

Statistical wavelet analysis of functional images of the brain

Fourier and wavelet transform analysis, a tool for visualising regular patterns in DNA