Publications related to Guest Editorial: Wavelets in Medical Imaging

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

Adaptive FID-navigators for respiration monitoring in multi-slice fMRI applications

Rolf Gruetter, Tobias Kober, Reto Meuli, Wietske Van der Zwaag, José Pedro Rebelo Ferreira Marques

Functional magnetic resonance imaging (fMRI) measures activation-induced signal changes by means of the blood-oxygenation-level-depended (BOLD) contrast. Since signal changes are typically only 1-3%, the method is intrinsically sensitive to all signal inst ...

2008

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

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

Space-frequency quantization for image compression with directionlets

Martin Vetterli, Vladan Velisavljevic

The standard separable 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 efficiently capture 1-D discontinuities, like edges or contours. ...

2007

The SURE-LET Approach to Image Denoising

Thierry Blu, Florian Luisier

We propose a new approach to image denoising, based on the image-domain minimization of an estimate of the mean squared error—Stein's unbiased risk estimate (SURE). Unlike most existing denoising algorithms, using the SURE makes it needless to hypothesize ...

Institute of Electrical and Electronics Engineers2007

Nonlinear dynamics of cardiovascular aging

The application of methods drawn from nonlinear and stochastic dynamics to the analysis of cardiovascular time series are applied with particular interests in the identification of changes associated with aging. Scale invariant and scale dependent approach ...

Lancaster University2007

Novel CMOS Analog Signal Processing Technique for Solid-State X-Ray Sensors in Medical Imaging Systems

Rafal Tomasz Dlugosz

Ability to peer into human body is an essential diagnostic tool in medicine. Out of the four major imaging modalities that include ultra-sound, magnetic resonance imaging (MRI), and positron emission tomography (PET), nuclear medicine is gaining more wides ...

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

Guest Editorial: Wavelets in Medical Imaging

Graph Chatbot

Chat with Graph Search

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

Adaptive FID-navigators for respiration monitoring in multi-slice fMRI applications

The Marr Wavelet Pyramid

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

Space-frequency quantization for image compression with directionlets

The SURE-LET Approach to Image Denoising

Nonlinear dynamics of cardiovascular aging

Novel CMOS Analog Signal Processing Technique for Solid-State X-Ray Sensors in Medical Imaging Systems

Generalized Daubechies Wavelet Families

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

The Marr Wavelet Pyramid

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

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

Space-frequency quantization for image compression with directionlets

Adaptive FID-navigators for respiration monitoring in multi-slice fMRI applications

The SURE-LET Approach to Image Denoising

Nonlinear dynamics of cardiovascular aging

Novel CMOS Analog Signal Processing Technique for Solid-State X-Ray Sensors in Medical Imaging Systems

Generalized Daubechies Wavelet Families