Diffraction Limited Imaging Using Aberrated Optics.

Abstract : Researchers have introduced a scanning method for SVD reconstruction of images. This method removes the blocking effects that would normally be associated with a reconstruction by parts. It is also vastly superior in terms of computation speed as compared with conventional SVD. The method is also applicable to the case of spatially varying blurs. The results have shown that the blocking effects are removed to a tolerable level with the scanning technique, and good constructions can be obtained with large complex images containing noise. To show the potential for the reconstruction of images formed with a spatially variant PSF and approximate method using Fourier transforms was shown. This introduced artifacts into the reconstruction which were controlled by use of a regularisation parameter. An example reconstruction has been shown for an SVD reconstruction which is more accurate than the Fourier method, but far slower in computational speed.