Generalization of the two-point-source resolution criterion in the presence of noise

• DOI: 10.1364/ol.494910
• Publication Date: 2023-06-26T16:01:33Z
• Authors: Pranav Wani; Kashif Usmani; Bahram Javidi
• Keywords: Gaussian Noise; Kernel (algebra)

The two-point-source resolution criterion is widely used to quantify the performance of imaging systems. two main approaches for computation are detection theoretic and visual analyses. first assumes a shift-invariant system lacks ability incorporate different point spread functions (PSFs), which may be required in certain situations like computing axial resolution. latter approach, includes Rayleigh criterion, relies on peak-to-valley ratio does not properly account presence noise. We present heuristic generalization using Gaussian processes (GP). This applicable both shift-variant modalities. can also definitions expressed terms varying ratios. Our approach implicitly incorporates information about noise statistics such as variance or signal-to-noise by making assumptions spatial correlation PSFs form kernel functions. Also, it rely an analytic PSF.