FUN-SP

"A functional framework for sparse, non-gaussian signal processing and bioimaging"

 Coordinatore ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE 

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 Nazionalità Coordinatore Switzerland [CH]
 Totale costo 2˙106˙994 €
 EC contributo 2˙106˙994 €
 Programma FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call ERC-2010-AdG_20100224
 Funding Scheme ERC-AG
 Anno di inizio 2011
 Periodo (anno-mese-giorno) 2011-04-01   -   2016-03-31

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE

 Organization address address: BATIMENT CE 3316 STATION 1
city: LAUSANNE
postcode: 1015

contact info
Titolo: Ms.
Nome: Caroline
Cognome: Vandevyver
Email: send email
Telefono: +41 21 693 4977
Fax: +41 21 693 5585

CH (LAUSANNE) hostInstitution 2˙106˙994.00
2    ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE

 Organization address address: BATIMENT CE 3316 STATION 1
city: LAUSANNE
postcode: 1015

contact info
Titolo: Prof.
Nome: Michael
Cognome: Unser
Email: send email
Telefono: +41 21 693 51 75

CH (LAUSANNE) hostInstitution 2˙106˙994.00

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 Word cloud

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framework    theory    optimization    signal    paradigm    sparsifying    sparsity    wavelet    representations    microscopy    quadratic    sparse    image    transforms    algorithms   

 Obiettivo del progetto (Objective)

'In recent years, the research focus in signal processing has shifted away from the classical linear paradigm, which is intimately linked with the theory of stationary Gaussian processes. Instead of considering Fourier transforms and performing quadratic optimization, researchers are presently favoring wavelet-like representations and have adopted ”sparsity” as design paradigm.

Our ambition is to develop a unifying operator-based framework for signal processing that would provide the ``sparse' counterpart of the classical theory, which is currently missing. To that end, we shall specify and investigate sparse stochastic processes that are continuously-defined and ruled by differential equations, and construct corresponding wavelet-like sparsifying transforms. Our hope is to be able to rigorously connect non-quadratic regularization and sparsity-constrained optimization to well-defined continuous-domain statistical models. We also want to develop a novel Lie-group formalism for the design of steerable, signal-adapted wavelet transforms with improved invariance and sparsifying properties, both in 2-D and 3-D.

We shall use these tools to define new reversible image representations in terms of singular points (contours and keypoints) and to develop novel algorithms for 3-D biomedical image analysis. In close collaboration with imaging scientists, we shall apply our framework to the development of new 3-D reconstruction algorithms for emerging bioimaging modalities such as fluorescence deconvolution microscopy, digital holography microscopy, X-ray phase-contrast microscopy, and advanced MRI.'

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