In this paper, we show how perturbation can affect the reconstruction of sparse spherical harmonic (SH) signals, whose domain is the sphere, with compressed sensing (CS) techniques. Our results show that the multiplicative perturbation, which can be gene
Mathematical approaches refer to make quantitative descriptions, deductions and calculations through...
International audienceModal analysis classicaly used signals that respect the Shannon/Nyquist theory...
The sparse signal recovery in standard compressed sensing (CS) requires that the sensing matrix is e...
We propose a method for constructing a spherical harmonic sensing matrix that can be used to effecti...
A sampling theorem on the sphere has been developed recently, requiring half as many samples as alte...
It is difficult to determine whether or not the restricted isometry property (RIP) holds when measur...
In this thesis, we investigate the possibility of reducing the number of measurements and using only...
In this thesis, we investigate the possibility of reducing the number of measurements and using only...
We discuss a novel sampling theorem on the sphere developed by McEwen & Wiaux recently through an as...
International audienceWe analyze the Basis Pursuit recovery of signals when observing K-sparse data ...
Abstract—We study the impact of sampling theorems on the fidelity of sparse image reconstruction on ...
International audienceWe analyze the Basis Pursuit recovery of signals when observing sparse data wi...
International audienceWe analyze the Basis Pursuit recovery of signals when observing sparse data wi...
International audienceWe analyze the Basis Pursuit recovery of signals when observing K-sparse data ...
We show that sparse spherical harmonic expansions can be efficiently recovered from a small number o...
Mathematical approaches refer to make quantitative descriptions, deductions and calculations through...
International audienceModal analysis classicaly used signals that respect the Shannon/Nyquist theory...
The sparse signal recovery in standard compressed sensing (CS) requires that the sensing matrix is e...
We propose a method for constructing a spherical harmonic sensing matrix that can be used to effecti...
A sampling theorem on the sphere has been developed recently, requiring half as many samples as alte...
It is difficult to determine whether or not the restricted isometry property (RIP) holds when measur...
In this thesis, we investigate the possibility of reducing the number of measurements and using only...
In this thesis, we investigate the possibility of reducing the number of measurements and using only...
We discuss a novel sampling theorem on the sphere developed by McEwen & Wiaux recently through an as...
International audienceWe analyze the Basis Pursuit recovery of signals when observing K-sparse data ...
Abstract—We study the impact of sampling theorems on the fidelity of sparse image reconstruction on ...
International audienceWe analyze the Basis Pursuit recovery of signals when observing sparse data wi...
International audienceWe analyze the Basis Pursuit recovery of signals when observing sparse data wi...
International audienceWe analyze the Basis Pursuit recovery of signals when observing K-sparse data ...
We show that sparse spherical harmonic expansions can be efficiently recovered from a small number o...
Mathematical approaches refer to make quantitative descriptions, deductions and calculations through...
International audienceModal analysis classicaly used signals that respect the Shannon/Nyquist theory...
The sparse signal recovery in standard compressed sensing (CS) requires that the sensing matrix is e...