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Variational Image Reconstruction from Arbitrarily Spaced Samples: A Fast Multiresolution Spline Solution
Related publications (45)
Influence of the meso-structure in dynamic fracture simulation of concrete under tensile loading
Jean-François Molinari, Leonardo Snozzi
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 ...
2010Sound 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 ...
2010Distributed 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 Usa2009Nonideal 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 ...
IEEE2008Asymmetric Gaussian Multiple Descriptions and Asymmetric Multilevel Diversity Coding
We consider multiple description source coding problem with Gaussian source and mean squared error, for 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 ...
2007Data-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 ...
2006Matérn B-Splines and the Optimal Reconstruction of Signals
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 ...
IEEE2006Generalized Smoothing Splines and the Optimal Discretization of the Wiener Filter
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 ...
IEEE2005PID 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 ...
2005Sampling 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