Publications related to Variational Image Reconstruction from Arbitrarily Spaced Samples: A Fast Multiresolution Spline Solution

Influence of the meso-structure in dynamic fracture simulation of concrete under tensile loading

We investigate the dynamic behavior of concrete in relation to its composition within a computational framework (FEM). Concrete is modeled using a meso-mechanical approach in which aggregates and mortar are represented explicitly. Both continuum phases are ...

2010

Sound Field Recording by Measuring Gradients

Martin Vetterli, Mihailo Kolundzija, Christof Faller

Gradient based microphone arrays, the horizontal sound field's plane wave decomposition, and the corresponding circular harmonics decomposition are reviewed. Further, a general relation between directivity patterns of the horizontal sound field gradients a ...

2010

Distributed Karhunen-Loeve Transform With Nested Subspaces

Michael Christoph Gastpar, Naveen Goela

A network in which sensors observe a common Gaussian source is analyzed. Using a fixed linear transform, each sensor compresses its high-dimensional observation into a low-dimensional representation. The latter is provided to a central decoder that reconst ...

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

Nonideal Sampling and Regularization Theory

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

Shannon's sampling theory and its variants provide effective solutions to the problem of reconstructing a signal from its samples in some “shift-invariant” space, which may or may not be bandlimited. In this paper, we present some further justification for ...

IEEE2008

Asymmetric Gaussian Multiple Descriptions and Asymmetric Multilevel Diversity Coding

Suhas Diggavi

We consider multiple description source coding problem with Gaussian source and mean squared error, for

K=3

descriptions. We obtain an outer bound for the rate region of the problem. We also derive an inner bound for the problem based on successively ref ...

2007

Data-Driven Controller Tuning Using Frequency Domain Specifications

Alireza Karimi, Roland Longchamp, Daniel Garcia

A model-free PID controller tuning approach is presented in this paper. The method can handle different stability and performance indicators in the frequency domain. The phase margin, gain margin, crossover frequency and more advanced indicators which are ...

2006

Matérn B-Splines and the Optimal Reconstruction of Signals

Michaël Unser, Sathish Ramani

Starting from the power spectral density of Matérn stochastic processes, we introduce a new family of splines that is defined in terms of the whitening operator of such processes. We show that these Matérn splines admit a stable representation in a B-splin ...

IEEE2006

Generalized Smoothing Splines and the Optimal Discretization of the Wiener Filter

Michaël Unser, Thierry Blu

We introduce an extended class of cardinal LL-splines, where L is a pseudo-differential operator satisfying some admissibility conditions. We show that the LL-spline signal interpolation problem is well posed and that its solution is the unique minimizer ...

IEEE2005

PID Controller Design with Specifications on the Infinity-Norm of Sensitivity Functions

Alireza Karimi, Roland Longchamp, Daniel Garcia

A controller design method using a frequency criterion is proposed in this paper. The frequency criterion is defined as the weighted sum of squared errors between the specified and computed values of the design parameters. These are the infinity-norm of th ...

2005

Sampling in Practice: Is the Best Reconstruction Space Bandlimited?

Michaël Unser, Dimitri Nestor Alice Van De Ville, Sathish Ramani

Shannon's sampling theory and its variants provide effective solutions to the problem of reconstructing a signal from its samples in some “shift-invariant” space, which may or may not be bandlimited. In this paper, we present some further justification for ...

IEEE2005

Variational Image Reconstruction from Arbitrarily Spaced Samples: A Fast Multiresolution Spline Solution

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Influence of the meso-structure in dynamic fracture simulation of concrete under tensile loading

Sound Field Recording by Measuring Gradients

Distributed Karhunen-Loeve Transform With Nested Subspaces

Nonideal Sampling and Regularization Theory

Asymmetric Gaussian Multiple Descriptions and Asymmetric Multilevel Diversity Coding

Data-Driven Controller Tuning Using Frequency Domain Specifications

Matérn B-Splines and the Optimal Reconstruction of Signals

Generalized Smoothing Splines and the Optimal Discretization of the Wiener Filter

PID Controller Design with Specifications on the Infinity-Norm of Sensitivity Functions

Sampling in Practice: Is the Best Reconstruction Space Bandlimited?

Influence of the meso-structure in dynamic fracture simulation of concrete under tensile loading

Generalized Smoothing Splines and the Optimal Discretization of the Wiener Filter

Sound Field Recording by Measuring Gradients

Asymmetric Gaussian Multiple Descriptions and Asymmetric Multilevel Diversity Coding

Data-Driven Controller Tuning Using Frequency Domain Specifications

PID Controller Design with Specifications on the Infinity-Norm of Sensitivity Functions

Matérn B-Splines and the Optimal Reconstruction of Signals

Distributed Karhunen-Loeve Transform With Nested Subspaces

Nonideal Sampling and Regularization Theory

Sampling in Practice: Is the Best Reconstruction Space Bandlimited?