We analyze and demonstrate a scanning optical imaging system that uses a vibrating knife edge to collect sets of tomographic projection data of two-dimensional objects. Special concerns arising from nonuniform illumination and offset projection data are covered. A tomographic filtered backprojection algorithm is implemented to reconstruct an image from collected projections. Implications for near-field scanning optical microscopy and x-ray microscopy are discussed.
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Samson et al. (1995) studied this question.
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