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In this paper, we investigate the possibilities offered by the extension of the connected component trees (cc-trees) to multivariate images. We propose a general framework for image processing using the cc-tree based on the lattice theory and we discuss the possible applications depending on the properties of the underlying ordered set. This theoretical(More)
Connections in image processing are an important notion that describes how pixels can be grouped together according to their spatial relationships and/or their gray-level values. In recent years, several works were devoted to the development of new theories of connections among which hyperconnection (h-connection) is a very promising notion. This paper(More)
This paper proposes a denoising method for hyperspectral astro-physical data, adapted to the specificities of the MUSE (Multi-Unit Spectroscopic Explorer) instrument, which will provide massive integral field spectroscopic observations of the far universe, characterized by very low signal-to-noise ratio and strongly non identically distributed noise. Data(More)
This paper proposes an original approach to cluster multi-component data sets, including an estimation of the number of clusters. From the construction of a minimal spanning tree with Prim's algorithm, and the assumption that the vertices are approximately distributed according to a Poisson distribution, the number of clusters is estimated by thresholding(More)
fenj—min €erret a, * D †in™ent w—zet a D ghristophe gollet a D Éri™ ƒlez—k b a LSIIT Abstract ‡e present — new method for the p—r—metri™ de™omposition of ˜—rred spir—l g—l—xies in multiE spe™tr—l o˜serv—tionsF „he o˜serv—tion is modelled with — re—listi™ im—ge form—tion model —nd the g—l—xy is ™omposed of physi™—lly signi(™—nt p—r—metri™ stru™turesF „he(More)
We address the problem of joint signal restoration and parameter estimation in the context of the forthcoming MUSE instrument, which will provide spectroscopic measurements of light emitted by very distant galaxies. Restoration of spectra is formulated as a linear inverse problem, accounting for the instrument response and the noise spectral variability.(More)
We consider the restoration of extragalactic deep field hyperspectral imaging data, in the context of the forthcoming MUSE instrument. Joint spatial-spectral restoration is addressed by taking into account the three-dimensional point spread function (PSF) of the instrument and the noise statistical distribution, with strong spectral variations for both of(More)
This paper deals with noised astronomical multiband image fusion and restoration. The wavelet domain is well adapted for such tasks. In fact, intensity fluctuations corresponding to the noise are most important at the finest resolution and related details coefficients decrease quickly as the scale increases. Real structures in the image will therefore lead(More)