A study of the diffraction behavior and resolution criteria for pattern recognition for a proposed multiplexed imaging technique
studyofdiffracti00muss.pdf (10.66Mb)Abstract
This project quantifies several aspects of a new multiplexed imaging technique proposed by D. S. Davis. The novel approach of this technique involved the use of encoding masks derived from a basin set of two-dimensional Walsh functions. there were two distinct problems addressed by this thesis research. First, a study of computer simulated diffraction patterns of the photon flux through these encoding masks yielded design constraints to be incorporated into a prototype system. These constraints were expressed in a simple mathematical relation in terms of wavelength, diffraction angle, and spatial frequency. A second problem addressed the minimum spatial resolution required for pattern recognition. the conclusion reached was that the minimum number of resolution elements necessary for pattern recognition is 64 in each direction. This determination also fixed the minimum size of the basis set of two-dimensional Walsh functions required for multiplexing, as well as the number of pixels required to display the image.
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