ArticleNature communications2025
Noise amplification and ill-convergence of Richardson-Lucy deconvolution.
Article in Nature communications, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
11 citing papers in PubMed.
- SPIFFI enables single-shot super-resolution and multidimensional imaging.Nature methods · 2026Article
- A physics-informed alternative to Richardson-Lucy deconvolution across SNR regimes without iteration cutoffs.Nature communications · 2026Article
- Application of gradient-consensus Richardson-Lucy deconvolution to noisy undersampled brightfield microscopy data.Biomedical optics express · 2026Article
- A cryo-CLEM-guided workflow for quantitative assessment and optimization of cryo-ET specimen quality.Molecules and cells · 2026Article
- VNIR/SWIR Multispectral Polarimetric Imager for Polymer Discrimination and Identification.Sensors (Basel, Switzerland) · 2026Article
- High-fidelity single-frame computational super-resolution using signal-preserving denoising-enabled deconvolution.Nature communications · 2026Article
- Enhancing volumetric microscopy with blind computational correction of spatially variant aberrations using neural field representation.bioRxiv : the preprint server for biology · 2026Article
- A two-step iterative framework for signal and image deblurring using G-I-Nonexpansive Mappings.PloS one · 2026Article
- Perspective: An outlook on fluorescence tracking.The Journal of chemical physics · 2025Article
- Near-isotropic super-resolution microscopy with axial interference speckle illumination.Nature communications · 2025Article
- Structured detection for simultaneous super-resolution and optical sectioning in laser scanning microscopy.Nature photonics · 2025Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
Richardson-Lucy (RL) deconvolution optimizes the likelihood of the object estimate for an incoherent imaging system. It can offer an increase in contrast, but converges poorly, and shows enhancement of noise as the iteration progresses. We have discovered the underlying reason for this problematic convergence behaviour using a Cramér Rao Lower Bound (CRLB) analysis. An analytical expression for the CRLB diverges for spatial frequency components that approach the diffraction limit from below. The resulting mean noise variance per pixel diverges for large images. These results imply that a regular optimum of the likelihood does not exist, and that RL deconvolution is necessarily ill-convergent.
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.