球面上的多通道泊松去噪和反卷积：Fermi Gamma Ray Space Telescope的应用
Multichannel Poisson denoising and deconvolution on the sphere : Application to the Fermi Gamma Ray Space Telescope
摘要：
一种基于多尺度表示的球面数据去噪方法--球面上的多尺度方差稳定变换（MS-VSTS）已被提出。本文首先将MS-VSTS扩展到球面二维和一维数据（2D-1D），其中前两个维度是经度和纬度，第三个维度是有意义的物理指标，如能量或时间。然后，我们介绍了一种新的多通道反褶积建立在2D-1D MS-VSTS，它使我们能够摆脱噪声和模糊引入的点扩散函数（PSF）在每个能量（或时间）带。该方法适用于模拟数据从大面积望远镜（LAT），费米伽马射线空间望远镜的主要仪器，它检测高能伽马射线在一个非常宽的能量范围（从20 MeV到300 GeV以上），其PSF是强烈的能量依赖性（从约3.5°在100 MeV到小于0.1°在10 GeV）。
英文摘要：
A multiscale representation-based denoising method for spherical data contaminated with Poisson noise, the multiscale variance stabilizing transform on the sphere (MS-VSTS), has been previously proposed. This paper first extends this MS-VSTS to spherical two and one dimensions data (2D-1D), where the two first dimensions are longitude and latitude, and the third dimension is a meaningful physical index such as energy or time. We then introduce a novel multichannel deconvolution built upon the 2D-1D MS-VSTS, which allows us to get rid of both the noise and the blur introduced by the point spread function (PSF) in each energy (or time) band. The method is applied to simulated data from the Large Area Telescope (LAT), the main instrument of the Fermi Gamma-Ray Space Telescope, which detects high energy gamma-rays in a very wide energy range (from 20 MeV to more than 300 GeV), and whose PSF is strongly energy-dependent (from about 3.5° at 100 MeV to less than 0.1° at 10 GeV).
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