Stereo pairs of bright-field micrographs via Wiener-type inverse filtering

In a three-dimensional (3-D) image data set obtained through optical sectioning, each two-dimensional (2-D) segment is blurred by out-of-focus information from neighbouring focal planes superimposed on the in-focus segments from that plane. Instead of attempting to remove this redundant information over the full 3-D data set, we have developed a technique for restoring stereoscopic views. In this paper we describe the implementation of a Wiener-type inverse filtering method for generating stereo pairs of bright-field micrographs. A theoretical optical transfer function valid under certain simplifying approximations has been used in implementing this filtering technique. In developing this method the slice theorem of computed tomography is used. In this way the image reconstruction problem is reduced to one of processing 2-D arrays rather than 3-D arrays and the problem of restoring missing Fourier components within the missing-cone region is circumvented. Limited experimentation with real micrographs shows that the approach provides images that display an effective increased depth of field and 3-D attributes of the specimen, even though some of the underlying assumptions on which this method is based are difficult to verify explicitly. The method can be implemented with a relatively fast execution time on 386-SX computers.