31 citations · 118 across the 11 of their papers we have counts for
4 papers · 1 filter
Time and covariance smoothing for restoration of bivariate signals
Yusuf Yigit Pilavci, Pierre Palud, Julien Flamant +3
In many applications and physical phenomena, bivariate signals are polarized, i.e. they trace an elliptical trajectory over time when viewed in the 2D planes of their two component…
Polarimetric phase retrieval: uniqueness and algorithms
Julien Flamant, Konstantin Usevich, Marianne Clausel +1
This work introduces a novel Fourier phase retrieval model, called polarimetric phase retrieval that enables a systematic use of polarization information in Fourier phase retrieval…
Quaternion Non-negative Matrix Factorization: definition, uniqueness and algorithm
Julien Flamant, Sebastian Miron, David Brie
This article introduces quaternion non-negative matrix factorization (QNMF), which generalizes the usual non-negative matrix factorization (NMF) to the case of polarized signals. P…
A complete framework for linear filtering of bivariate signals
Julien Flamant, Pierre Chainais, Nicolas Le Bihan
A complete framework for the linear time-invariant (LTI) filtering theory of bivariate signals is proposed based on a tailored quaternion Fourier transform. This framework features…