Exact reconstruction of sampled images

Abstract

Summary form only given. The quality of the image displayed on the workstation monitor is inferior to that seen through the camera lens and it has been determined that there is no theoretical reason for this phenomenon. From the Nyquist sampling theorem and Fraunhofer diffraction theory it is known that the sampling frequency should be more than twice the highest frequency in the image plane of a camera lens. In microscopy, for a numerical aperture (NA) of 1.3 and a wavelength of 500 nm a sampling density of approximately 100 nm/pixel or a sampling frequency of 10 pixels/ mu m is required. If this condition is met, then the digitized information stored in the computer memory is sufficient to reconstruct the continuous image as seen through the lens. This reconstruction problem has been analyzed in detail, and it has been determined that instead of using the standard reconstruction procedure based on sinc functions, it is possible to reconstruct exactly a continuous chromosome image using a finite number of samples. This leads to the possibility of high-density resampling of the image to provide displays of arbitrarily high quality.<>