Single channel 2-D and 3-D blind image deconvolution for circularly symmetric fir blurs

The circular symmetry of point spread function (PSF) is common for many optical imaging systems such as optical microscopes, cameras, and astigmatism corrected electron microscopes. In our previous work, we showed that an accurate PSF estimation from a single measured image on a flat background is possible by exploiting the circular symmetry. This paper extends the results to 2-D single blind deconvolution from partial data as well as 3-D single channel blind deconvolution. This work allows simple computation section of biological phantom from z-stack images of brightfield and fluorescence microscope. Experimental results using a fluorescence microscope confirm our theory.