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

Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

We propose a novel method of constructing exact Hilbert transform (HT) pairs of wavelet bases using fractional B-splines and state necessary and sufficient conditions for generating such wavelet pairs. In particular, we demonstrate how HT pairs of biorthog ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Construction of Hilbert Transform Pairs of Wavelet Bases and Optimal Time-Frequency Localization

Michaël Unser, Kunal Narayan Chaudhury

We propose a novel method of constructing exact Hilbert transform (HT) pairs of wavelet bases using fractional B-splines and state necessary and sufficient conditions for generating such wavelet pairs. In particular, we demonstrate how HT pairs of biorthog ...

IEEE2008

The Marr Wavelet Pyramid

Michaël Unser, Dimitri Nestor Alice Van De Ville

We introduce a new semi-orthogonal complex wavelet basis of

L _{ 2 }

(\mathbb{R} ^{ 2 }

). The basis functions are associated to the complex gradient-Laplace operator, which plays a central role in image processing. We define analytically a single- ...

IEEE2008

CMOS realization of two-dimensional mixed analog-digital Hamming distance discriminator circuits for real-time imaging applications

Alexandre Schmid, Yusuf Leblebici, Stéphane Badel

The architecture of an integrated Hamming artificial neural network, and its use as a versatile signal/image processing circuit is presented. The circuit operation relies oil the charge-based processing of sum-of-products terms, complemented with digital p ...

2008

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Dimitri Nestor Alice Van De Ville

We present multiresolution spaces of complex rotation-covariant functions, deployed on the 2-D hexagonal lattice. The designed wavelets, which are complex-valued, provide an important phase information for image analysis, which is missing in the discrete w ...

SPIE2007

WSPM: Wavelet-Based Statistical Parametric Mapping

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

Recently, we have introduced an integrated framework that combines wavelet-based processing with statistical testing in the spatial domain. In this paper, we propose two important enhancements of the framework. First, we revisit the underlying paradigm; i. ...

Elsevier2007

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach

Sai Siva Gorthi

The increasing use of 3D modeling of Human Face in Face Recognition systems, User Interfaces, Graphics , Gaming and the like has made it an area of active study. Majority of the 3D sensors rely on color coded light projection for 3D estimation. Such system ...

2007

Generalized Daubechies Wavelet Families

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We present a generalization of the orthonormal Daubechies wavelets and of their related biorthogonal flavors (Cohen-Daubechies-Feauveau, 9⁄7). Our fundamental constraint is that the scaling functions should reproduce a predefined set of exponential polynom ...

IEEE2007

Wavelet based statistical analysis for optical imaging in mouse olfactory bulb

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

Optical imaging is a powerful technique to map brain function in animals. In this study, we consider in vivo optical imaging of the murine olfactory bulb, using an intrinsic Signal and a genetically expressed activity reporter fluorescent protein (synaptop ...

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

Wavelet-Based Statistical Analysis for Optical Imaging in Mouse Olfactory Bulb

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

Optical imaging is a powerful technique to map brain function in animals. In this study, we consider in vivo optical imaging of the murine olfactory bulb, using an intrinsic signal and a genetically expressed activity reporter fluorescent protein (synaptop ...

IEEE2007

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

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Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

Construction of Hilbert Transform Pairs of Wavelet Bases and Optimal Time-Frequency Localization

The Marr Wavelet Pyramid

CMOS realization of two-dimensional mixed analog-digital Hamming distance discriminator circuits for real-time imaging applications

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

WSPM: Wavelet-Based Statistical Parametric Mapping

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach

Generalized Daubechies Wavelet Families

Wavelet based statistical analysis for optical imaging in mouse olfactory bulb

Wavelet-Based Statistical Analysis for Optical Imaging in Mouse Olfactory Bulb

Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

Construction of Hilbert Transform Pairs of Wavelet Bases and Optimal Time-Frequency Localization

The Marr Wavelet Pyramid

CMOS realization of two-dimensional mixed analog-digital Hamming distance discriminator circuits for real-time imaging applications

Wavelet based statistical analysis for optical imaging in mouse olfactory bulb

Wavelet-Based Statistical Analysis for Optical Imaging in Mouse Olfactory Bulb

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Generalized Daubechies Wavelet Families

WSPM: Wavelet-Based Statistical Parametric Mapping

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach