A Novel Bound for Fourier Ring Correlation in Resolution Analysis
Year: 2025
Type: article
Abstract: This work proposes a novel data-driven approach for computing the resolution number of a given image using the well-established Fourier Ring/Shell Correlation (frc/fsc) technique. The proposed method eliminates the need for the user to select a threshold criterion in a heuristic way, a requirement in current methodologies. To achieve this, the approach leverages linear algebra-specifically, Niculescu's result-and concepts from information theory, demonstrating that the resolution number is directly linked to the Fisher information derived from each ring or shell in the Fourier domain. As a result, the methodology is entirely data-driven, requiring no prior information about the image under analysis. The mathematical framework's consistency is validated through numerical experiments and tests with real data from x-ray coherent microscopy, tomography, cryo-EM and confocal microscopy, showing that the newly computed resolution numbers align with conventional metrics derived from the classical$1/2$-bit and$3\sigma$thresholds. Furthermore, we highlight that the local resolution of images can vary significantly from the single resolution value typically provided byfrc/fsc. This observation suggests that resolution maps may provide a more reliable framework for assessing resolution in microscopy.
Language: English
Subfield: Radiation
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Award: G3837909881
OpenAlex ID: W4412802491