Recently phase contrast imaging has attracted much attention. An obvious advantage of using X-rays
for imaging the internal structure of relatively thick samples lies in its high degree of penetration of
solid objects. However, often leads to poor image contrast for soft tissue. Phase contrast imaging can
be very useful in such situation, as the phase of the transmitted beam may often be more sensitive
indicator of density of sample than convention contrast. On the other hand, Computed Tomography is
the best technology in the aspect of X-rays detection. Using the technology, the detected object can be
imaged to three-dimensional image, so as to observe the inner structure of object, and be convenient to
the disease examination. If the phase contrast imaging can be used to the technology of Computed
Tomography, the high resolution image can be gained. The technology will become the development
orientation of medical image.
The aim of this article was to apply the theory of X-rays phase contrast imaging to the traditional
X-CT technique. For this purpose, the formula deduced from the imaging theory with parallel
monochromatic X-rays illuminating the object based on the Fresnel-Kircohhof theory had been
completed and a formula similar to that of the traditional X-CT reconstruction had been gained, which
was Radon transform formula. At last, X-rays reconstruction simulation had been carried out according
to the formula, and proved that the method could be used in clinical medical imaging. The method
discussed in this paper had a very bright prospect for application.
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