Publications related to The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Wavelets on non-Euclidean manifolds

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

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

Locally Adaptive Wavelet-Based Image Interpolation

Martin Vetterli

We describe a spatially adaptive algorithm for image interpolation. The algorithm uses a wavelet transform to extract information about sharp variations in the low-resolution image and then implicitly applies interpolation which adapts to the image local s ...

2006

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

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

Many experimental paradigms in biology aim at studying the response to coordinated stimuli. In dynamic imaging experiments, the observed data is often not straightforward to interpret and not directly measurable in a quantitative fashion. Consequently, the ...

IEEE2006

On the use of continuous-wavelet transform for fault location in distribution power systems

Mario Paolone

The paper illustrates a procedure based on the continuous-wavelet transform (CWT) for the analysis of voltage transients due to line faults, and discusses its application to fault location in power distribution systems. The analysis carried out shows that ...

2006

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

Sai Siva Gorthi

Wavelet transform analysis of projected fringe pattern for phase recovery in 3-D shape measurement of objects is investigated. The present communication specifically outlines and evaluates the errors that creep in to the reconstructed profiles when fringe ...

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

Stereographic Wavelet Frames on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this paper we exploit the Continuous Wavelet Transform (CWT) on the two dimensional sphere, introduced previously by two of us, to build associated Discrete Wavelet Frames. We first explore half-continuous frames, i.e., frames where the position remains ...

2005

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Michaël Unser, Theo Lasser

The combination of wavelength multiplexing and spectral interferometry allows for the encoding of multidimensional information and its transmission over a mono-dimensional channel; for example, measurements of a surface's topography acquired through a mono ...

SPIE2005

Generalized L-Spline Wavelet Bases

Michaël Unser, Thierry Blu, Ildar Khalidov

We build wavelet-like functions based on a parametrized family of pseudo-differential operators

L _{ v }

that satisfy some admissibility and scalability conditions. The shifts of the generalized B-splines, which are localized versions of the Green func ...

SPIE2005

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

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Wavelets on non-Euclidean manifolds

Low-Rate Reduced Complexity Image Compression using Directionlets

Locally Adaptive Wavelet-Based Image Interpolation

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

On the use of continuous-wavelet transform for fault location in distribution power systems

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Stereographic Wavelet Frames on the Sphere

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Generalized L-Spline Wavelet Bases

Locally Adaptive Wavelet-Based Image Interpolation

Wavelets on non-Euclidean manifolds

Generalized L-Spline Wavelet Bases

Low-Rate Reduced Complexity Image Compression using Directionlets

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

On the use of continuous-wavelet transform for fault location in distribution power systems

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Stereographic Wavelet Frames on the Sphere

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging