
arXiv: 0904.3299
The multiscale variance stabilization Transform (MSVST) has recently been proposed for Poisson data denoising. This procedure, which is nonparametric, is based on thresholding wavelet coefficients. We present in this paper an extension of the MSVST to 3D data (in fact 2D-1D data) when the third dimension is not a spatial dimension, but the wavelength, the energy, or the time. We show that the MSVST can be used for detecting and characterizing astrophysical sources of high-energy gamma rays, using realistic simulated observations with the Large Area Telescope (LAT). The LAT was launched in June 2008 on the Fermi Gamma-ray Space Telescope mission. The MSVST algorithm is very fast relative to traditional likelihood model fitting, and permits efficient detection across the time dimension and immediate estimation of spectral properties. Astrophysical sources of gamma rays, especially active galaxies, are typically quite variable, and our current work may lead to a reliable method to quickly characterize the flaring properties of newly-detected sources.
Accepted. Full paper will figures available at http://jstarck.free.fr/aa08_msvst.pdf
High Energy Astrophysical Phenomena (astro-ph.HE), [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, FOS: Physical sciences, techniques: image processing, methods: data analysis, 520, 510, [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, [INFO.INFO-TI] Computer Science [cs]/Image Processing [eess.IV], [INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV], Astrophysics - Instrumentation and Methods for Astrophysics, Astrophysics - High Energy Astrophysical Phenomena, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, Instrumentation and Methods for Astrophysics (astro-ph.IM), [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing
High Energy Astrophysical Phenomena (astro-ph.HE), [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, FOS: Physical sciences, techniques: image processing, methods: data analysis, 520, 510, [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, [INFO.INFO-TI] Computer Science [cs]/Image Processing [eess.IV], [INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV], Astrophysics - Instrumentation and Methods for Astrophysics, Astrophysics - High Energy Astrophysical Phenomena, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, Instrumentation and Methods for Astrophysics (astro-ph.IM), [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing
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