Multiscale Photon-Limited Spectral Image Reconstruction

Abstract. This paper studies photon-limited spectral intensity estimation and proposes a spatially and spectrally adaptive, nonparametric method for estimating spectral intensities from Poisson observations. Specifically, our method searches through estimates defined over a family of recursive dyadic partitions in both the spatial and spectral domains, and finds the one that maximizes a penalized log likelihood criterion. The key feature of this approach is that the partition cells are anisotropic across the spatial and spectral dimensions, so that the method adapts to varying degrees of spatial and spectral smoothness, even when the respective degrees of smoothness are not known a priori. The proposed approach is based on the key insight that spatial boundaries and singularities exist in the same locations in every spectral band, even though the contrast or perceptibility of these features may be very low in some bands. The incorporation of this model into the reconstruction results i...

• Type: Journal
• Year: 2010
• Where: SIAMIS
• Authors: Kalyani Krishnamurthy, Maxim Raginsky, Rebecca Willett
• Keywords: SIAMIS 2010, Spatial, Spectral Intensities, Spectral Smoothness