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In this paper, we propose an empirical review of the conditions under which the compressed sensing framework allows to achieve exact image reconstruction. After a short presentation of the theoretical results related to this subject, we investigate the relevance and the limits of these theoretical results through several numerical reconstructions of some benchmark images. In particular, we discuss...
The cross-dependency of noise level and photobleaching in microscopy was discussed in a previous work and an efficient compressed sensing (CS) method was proposed to simultaneously reduce the noise level and the photobleaching. Here we present an improved CS denoising framework for fluorescence microscopy images, exploiting Non-Local means filtering to merge multiple reconstructions. This framework...
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