2017
DOI: 10.1109/tip.2017.2675200
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Joint Reconstruction Strategy for Structured Illumination Microscopy With Unknown Illuminations

Abstract: The blind structured illumination microscopy strategy proposed by Mudry et al. is fully re-founded in this paper, unveiling the central role of the sparsity of the illumination patterns in the mechanism that drives super-resolution in the method. A numerical analysis shows that the resolving power of the method can be further enhanced with optimized one-photon or two-photon speckle illuminations. A much improved numerical implementation is provided for the reconstruction problem under the image positivity cons… Show more

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Cited by 37 publications
(34 citation statements)
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“…The development of fluorophores that emit at wavelengths 433 much larger than the excitation should alleviate the deformation of the observation point spread function to 434 probe even deeper into the sample. There is also the possibility to modify the nature of the speckle and of the 435 excitation to further improve the resolution(Labouesse et al, 2017, Negash et al 2018.436To conclude, we believe that RIM will fill the expectations of cell biology laboratories, in line with the 437 growing need for simple, fast, super-resolved functional imaging of live-cells within normal or pathological 438 tissues or model organisms. It is worth noting that the mathematical concepts of RIM applies to all imaging 439 techniques in which the recorded data are linearly linked to the sought parameter times an excitation field.440Ultrasound imaging, diffraction microscopy, microwave scanning, photo-acoustic imaging among others, 441 could benefit from the philosophy of this novel approach.…”
mentioning
confidence: 93%
“…The development of fluorophores that emit at wavelengths 433 much larger than the excitation should alleviate the deformation of the observation point spread function to 434 probe even deeper into the sample. There is also the possibility to modify the nature of the speckle and of the 435 excitation to further improve the resolution(Labouesse et al, 2017, Negash et al 2018.436To conclude, we believe that RIM will fill the expectations of cell biology laboratories, in line with the 437 growing need for simple, fast, super-resolved functional imaging of live-cells within normal or pathological 438 tissues or model organisms. It is worth noting that the mathematical concepts of RIM applies to all imaging 439 techniques in which the recorded data are linearly linked to the sought parameter times an excitation field.440Ultrasound imaging, diffraction microscopy, microwave scanning, photo-acoustic imaging among others, 441 could benefit from the philosophy of this novel approach.…”
mentioning
confidence: 93%
“…Our method is related to blind SIM [46]; however, instead of using many random speckle patterns (which restricts resolution gain to ∼1.8×), we translate the speckle laterally, enabling resolution gains beyond that of previous methods [46][47][48][49][50][51][52] (see Appendix D). Previous works also use high-cost spatial-light-modulators (SLM) [53] or galvonemeter/MEMs mirrors [41,54] for precise illumination, as well as expensive objective lenses for aberration correction.…”
Section: Introductionmentioning
confidence: 99%
“…The proposed inversion schemes take advantage of the nonnegativity of the sample ρ, and on statistical information on ρ and/or the illuminations E m . In particular, some of them introduce sparsity information on ρ [14], or on the products ρE m [17]. Generally speaking, the stack of low resolution speckle data yielded reconstructed images with significantly better resolution than that provided by a standard imager using homogeneous illumination.…”
Section: Introductionmentioning
confidence: 99%