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We investigate the problem of separating galaxy spectra from their mixtures resulting from the slitless spectroscopy used in the future Euclid space mission. This can be formulated as a source separation problem where the structure of the mixture is specific and depends on a low number of parameters. We first develop a mathematical model to describe the observations generated by the near-infrared...
In a hyperspectral image of a dense stellar field, each pixel is a mixture of contributions from the star spectra. Indeed, because of the data acquisition system, each star spectrum is spread out over several pixels, which is modeled by the PSF (point spread function). The objective of our work is to develop a method to separate star spectra. The star spectra can be highly correlated and are not sparse...
This article presents a method to extract stellar spectra from hyperspectral images of the MUSE instrument. Because of the MUSE PSF (Point Spread Function) effect, stars are not seen as dots but spread with a certain radius. In dense fields, the information in a pixel can thus result from contributions of different stars, which requires the use of a source separation method. We first derive the mixing...
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