Patent ID: 7505560

Claim:
An apparatus for constructing a 3-dimensional image of an object, comprising: generating means for generating a monochromatic and parallel X-ray beam from an X-ray beam; a reflection-type angle analyzer for reflecting the monochromatic and parallel X-ray beam at reflecting points on both slopes of a reflection curve of the reflection-type angle analyzer, angle information being extracted to a maximum extent at the reflecting points, the monochromatic and parallel X-ray beam including an X-ray beam that passed through the object when the object is positioned rotatably in the monochromatic and parallel X-ray beam and an X-ray beam from the generating means when the object is not positioned in the monochromatic and parallel X-ray beam; an imaging device for generating a refraction angle data by receiving the monochromatic and parallel X-ray beam reflected on the reflection-type angle analyzer to detect the intensity thereof and output a refraction angle data; and an arithmetic device for constructing the 3-dimensional image by carrying out an arithmetical operation for the refraction angle data from the imaging device; wherein the arithmetic device extracts, from the refraction angle data, a refraction angle distribution Δα(Θ, t), wherein Θ is a rotation angle of the object and t is a projection coordinate perpendicular to the X-ray beam, and reconstructs a refraction index gradient ∇ñ from the extracted refraction angle distribution Δα(Θ, t), and the reconstruction of the refraction index gradient ∇ñ is carried out by an algorithm Δα(Θ, t ) e iΘ =∫ S |∇ñ ( r )| e iφ(r) dr wherein ñ(r) is a local refraction index which has a relation to the refraction index n(r) in portion r as ñ=1−n, φ(r) is the angle between the direction of the X-ray beam and the refraction index gradient ∇ñ(r), and S is an integration path.