Publications related to Complex logarithm

Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements

The research work reported in this dissertation is aimed to develop efficient and stable numerical schemes in order to obtain accurate numerical solution for viscoelastic fluid flows within the spectral element context. The present research consists in the ...

EPFL2011

RIM Determines Ca²+ Channel Density and Vesicle Docking at the Presynaptic Active Zone

Yunyun Han

Fast neurotransmitter release is essential for neuron-neuron communication and is initiated by the opening of voltage-gated Ca2+ channels close to docked vesicles at the presynaptic active zone. The high concentration of Ca2+ channels at the active zone is ...

EPFL2011

Shift-Invariant Spaces from Rotation-Covariant Functions

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

We consider shift-invariant multiresolution spaces generated by rotation-covariant functions ρ in

\mathbb{R}^{ 2 }

. To construct corresponding scaling and wavelet functions, ρ has to be localized with an appropriate multiplier, such that the localized ...

Elsevier2008

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

Efficient Protocols for Set Membership and Range Proofs

Rafik Chaabouni

We consider the following problem: Given a commitment to a value σ, prove in zero-knowledge that σ belongs to some discrete set Φ. The set Φ can perhaps be a list of cities or clubs; often Φ can be a numerical range such as [1, 220]. This problem arises in ...

Springer2008

Influence of residual disorder on the anticrossing of Bloch modes probed in k space

Romuald Houdré, Nicolas Le Thomas, Vasily Zabelin

We retrieve the dispersion properties of photonic crystal waveguides near the band edge with high experimental accuracy. The dispersion diagram of the waveguide modes in the complex-valued plane is directly measured in the far ﬁeld by using a Fourier space ...

2008

Inversion de Fourier ponctuelle

Emanuel Enrico Seifert

Let f be an integrable function on RN, a a point in RN and B a complex number. If the mean value of f on the sphere of centre a and radius r tends to B when r tends to 0, we show that the Fourier integral at a of f is summable to B in Cesàro means of order ...

EPFL2007

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

Adjusted complex position of extra sources in the image sources method

Thomas Guignard, Vincent Martin

Using a series development of the integral solution, a formal backing of the presence of image sources in geometrical acoustics methods has been shown. Furthermore, the existence of "invisible" sources is suggested, especially in the vicinity of obtuse ang ...

2006

A General and Operational Representation of Generalised Extreme Value Models

Michel Bierlaire

Generalised extreme value models provide an interesting theoretical framework to develop closed-form random utility models. Unfortunately, few instances of this family are to be found as operational models in practice. The form of the model, based on a gen ...

2006

Complex logarithm

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Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements

RIM Determines Ca²+ Channel Density and Vesicle Docking at the Presynaptic Active Zone

Shift-Invariant Spaces from Rotation-Covariant Functions

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

Efficient Protocols for Set Membership and Range Proofs

Influence of residual disorder on the anticrossing of Bloch modes probed in k space

Inversion de Fourier ponctuelle

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

Adjusted complex position of extra sources in the image sources method

A General and Operational Representation of Generalised Extreme Value Models

Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements

Shift-Invariant Spaces from Rotation-Covariant Functions

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

Efficient Protocols for Set Membership and Range Proofs

Influence of residual disorder on the anticrossing of Bloch modes probed in k space

Inversion de Fourier ponctuelle

Adjusted complex position of extra sources in the image sources method

A General and Operational Representation of Generalised Extreme Value Models

RIM Determines Ca²+ Channel Density and Vesicle Docking at the Presynaptic Active Zone

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