论文信息 - Relation between computed tomography and diffraction tomography.

Relation between computed tomography and diffraction tomography.

The relationship between computed tomography (CAT) and diffraction tomography (DT) is investigated. A simple condition with a clear physical meaning is derived for the applicability of CAT. Corrections due to scattering are incorporated into CAT, and it is shown that the effect of scattering may be characterized by a two-dimensional fractional Fourier transform. The implications of these results for the three-dimensional imaging of weakly scattering objects are also discussed.

E. Wolf | G. Gbur | E Wolf | G Gbur

[1] Girish S. Agarwal,et al. The generalized Fresnel transform and its application to optics , 1996 .

[2] Zeev Zalevsky,et al. New signal representation based on the fractional Fourier transform: definitions , 1995 .

[3] Paul Scott Carney,et al. Diffraction tomography using power extinction measurements , 1999 .

[4] Emil Wolf,et al. Principles and development of diffraction tomography , 1996 .

[5] Gabor T. Herman,et al. Image Reconstruction From Projections , 1975, Real Time Imaging.

[6] Avinash C. Kak,et al. Principles of computerized tomographic imaging , 2001, Classics in applied mathematics.

[7] John F. Ramsay,et al. Tubular Beams from Radiating Apertures , 1968 .

[8] L. Mandel,et al. Optical Coherence and Quantum Optics , 1995 .

[9] V. Namias. The Fractional Order Fourier Transform and its Application to Quantum Mechanics , 1980 .

[10] P. Pellat-Finet. Fresnel diffraction and the fractional-order Fourier transform. , 1994, Optics letters.

[11] F. H. Kerr,et al. On Namias's fractional Fourier transforms , 1987 .

[12] Richard A. Silverman,et al. Wave Propagation in a Random Medium , 1960 .

[13] A. Devaney. Inverse-scattering theory within the Rytov approximation. , 1981, Optics letters.

[14] Gabor T. Herman,et al. Image Reconstruction From Projections , 1975, Real Time Imaging.