Name
Abstract | ||
|---|---|---|
The present paper is concerned with the statistical analysis of the resolution limit in a so-called "diffraction-limited" imaging system. The canonical case study is that of incoherent imaging of two closely-spaced sources of possibly unequal brightness. The objective is to study how far beyond the classical Rayleigh limit of resolution one can reach at a given signal to noise ratio. The analysis uses tools from statistical detection and estimation theory. Specifically, we will derive explicit relationships between the minimum detectable distance between two closely-spaced point sources imaged incoherently at a given SNR. For completeness, asymptotic performance analysis for the estimation of the unknown parameters is carried out using the Cramér-Rao bound. To gain maximum intuition, the analysis is carried out in one dimension, but can be well extended to the two-dimensional case and to more practical models. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1109/TIP.2004.826096 | IEEE Transactions on Image Processing |
Keywords | Field | DocType |
imaging system,imaging,hy- pothesis test,asymptotic performance analysis,diffraction limit,classical rayleigh limit,statistical analysis,closely-spaced source,incoherent imaging,closely-spaced point source,estimation,canonical case study,estimation theory,diffraction,super-resolution.,rayleigh limit,resolution,index terms—cramér-rao bound,resolution limit,frequency domain analysis,signal to noise ratio,computer simulation,data compression,noise measurement,hypothesis test,brightness,point source,optical imaging,indexing terms,snr,algorithms,image resolution,cramer rao bound,spatial resolution,super resolution | Artificial intelligence,Estimation theory,Statistical hypothesis testing,Rayleigh scattering,Cramér–Rao bound,Statistical physics,Pattern recognition,Signal-to-noise ratio,Statistics,Image resolution,Completeness (statistics),Brightness,Mathematics | Journal |
Volume | Issue | ISSN |
13 | 5 | 1057-7149 |
Citations | PageRank | References |
29 | 3.17 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Morteza Shahram | 1 | 110 | 10.84 |
| Peyman Milanfar | 2 | 700 | 52.20 |