Details

Autor(en) / Beteiligte

• Testorf, Markus E.
• Fiddy, Michael A.

Titel

Superresolution Imaging—Revisited

Ist Teil von

• Advances in Imaging and Electron Physics, 2010, Vol.163, p.165-218

Ort / Verlag

United States: Elsevier Science & Technology

Erscheinungsjahr

2010

Beschreibungen/Notizen

• Methods for synthesizing and recovering signal features below the diffraction limit are revisited and interpreted as instances of a single unifying principle. Based on the review of the Rayleigh resolution limit and Abbe's theory of the microscope two distinct strategies can be distinguished: The first uses suitable encoding methods to increase the signal bandwidth passed through the imaging system at the expense of other system parameters. The second strategy exploits the Fourier uncertainty between a localized signal feature and a sharp frequency cut-off. Recognizing the latter as a trade-off between the achievable resolution and the signal-to-noise ratio, that is the information transmitted with each degree of freedom, both strategies can be interpreted as different manifestations of the same principle, which identifies the total information capacity of the imaging system as the defining system parameter, rather than the signal resolution. This in turn allows one to relate various superresolution imaging methods, as well as superoscillations, and generalized and compressive sampling schemes to one another.