Publications related to Optimally Localized Wavelets and Smoothing Kernels

Hydrological model performance and parameter estimation in the wavelet-domain

This paper proposes a method for rainfall-runoff model calibration and performance analysis in the wavelet-domain by fitting the estimated wavelet-power spectrum (a representation of the time-varying frequency content of a time series) of a simulated disch ...

European Geosciences Union2009

Fractional Laplacian Pyramids

Michaël Unser, Ricard Delgado Gonzalo, Pouya Dehghani Tafti

We provide an extension of the L-2-spline pyramid (Unser et al., 1993) using polyharmonic splines. We analytically prove that the corresponding error pyramid behaves exactly as a multi-scale Laplace operator. We use the multiresolution properties of polyha ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Combining visible and near-infrared images for realistic skin smoothing

Sabine Süsstrunk, Nathalie Barbuscia

Skin tone images, portraits in particular, are of tremendous importance in digital photography, but a number of factors, such as pigmentation irregularities (e.g., moles, freckles), irritation, roughness, or wrinkles can reduce their appeal. Moreover, such ...

2009

A Simple Alternative Derivation of the Expectation Correction Algorithm

Bertrand Mesot

The switching linear dynamical system (SLDS) is a popular model in time-series analysis. However, the complexity of inferring the state of the latent variables scales exponentially with the length of the time-series, resulting in many approximation strateg ...

2009

Time Resolved Fluorescence Diffuse Optical Tomography Using Multi-Resolution Exponential B-Splines

Michaël Unser, Chandra Sekhar Seelamantula

This paper deals with the problem of time-resolved fluorescence diffuse optical tomography. We propose a new reconstruction scheme based on a multi-resolution approximation of the time-resolved signals. The underlying basis functions are exponential B-spli ...

IEEE2009

The empirical mode decomposition: a must-have tool in speckle interferometry?

Pierre Jacquot, Sébastien Equis

In a wider and wider range of research and engineering activities, there is a growing interest for full-field techniques, featuring nanometric sensitivities, and able to be addressed to dynamic behaviors characterization. Speckle interferometry (SI) techni ...

Optical Society of America2009

Robust single-view geometry and motion reconstruction

Mark Pauly, Hao Li

We present a framework and algorithms for robust geometry and motion reconstruction of complex deforming shapes. Our method makes use of a smooth template that provides a crude approximation of the scanned object and serves as a geometric and topological p ...

2009

Complex Wavelet Bases, Steerability, and the Marr-Like Pyramid

Michaël Unser, Dimitri Nestor Alice Van De Ville

Our aim in this paper is to tighten the link between wavelets, some classical image-processing operators, and David Marr's theory of early vision. The cornerstone of our approach is a new complex wavelet basis that behaves like a smoothed version of the Gr ...

Institute of Electrical and Electronics Engineers2008

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

Optimally Localized Wavelets and Smoothing Kernels

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Hydrological model performance and parameter estimation in the wavelet-domain

Fractional Laplacian Pyramids

Combining visible and near-infrared images for realistic skin smoothing

A Simple Alternative Derivation of the Expectation Correction Algorithm

Time Resolved Fluorescence Diffuse Optical Tomography Using Multi-Resolution Exponential B-Splines

The empirical mode decomposition: a must-have tool in speckle interferometry?

Robust single-view geometry and motion reconstruction

Complex Wavelet Bases, Steerability, and the Marr-Like Pyramid

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

The Monogenic Riesz-Laplace Wavelet Transform

A Simple Alternative Derivation of the Expectation Correction Algorithm

Fractional Laplacian Pyramids

Hydrological model performance and parameter estimation in the wavelet-domain

Combining visible and near-infrared images for realistic skin smoothing

Complex Wavelet Bases, Steerability, and the Marr-Like Pyramid

Time Resolved Fluorescence Diffuse Optical Tomography Using Multi-Resolution Exponential B-Splines

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

The empirical mode decomposition: a must-have tool in speckle interferometry?

Robust single-view geometry and motion reconstruction

The Monogenic Riesz-Laplace Wavelet Transform