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- W2037001031 abstract "Using a 4f optical system, the Hilbert transform [1] of the projections of the object slice is implemented to reconstruct itsedge enhancement using the parallel projection tomography. The projection going out of the object is considered as theentrance to the 4f optical system, the filter employed in the Fourier plane consisting of a phase step of π radians, in theimage plane, as it is well known, the output function is given by the convolution of the impulse response and the inputfunction, then in the image plane the Hilbert transform of the projection is obtained. We show that the reconstruction inthis case is the Hilbert transform in vertical direction of the slice function, which is a special case. Also study in detailthe synthesis of the filter in order to obtain the reconstruction the edge enhanced in an arbitrary direction, which isgeneral case." @default.
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- W2037001031 date "2009-09-26" @default.
- W2037001031 modified "2023-09-25" @default.
- W2037001031 title "Spatial filtering and optical tomography of edge enhancement of a phase object" @default.
- W2037001031 doi "https://doi.org/10.1117/12.851102" @default.
- W2037001031 hasPublicationYear "2009" @default.
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