A method for detecting an image of an object by measuring the intensity at a
plurality
of positions of a transmitted beam of x-ray radiation emitted from the object as
a function of angle within the transmitted beam. The intensity measurements of
the transmitted beam are obtained by a crystal analyzer positioned at a plurality
of angular positions. The plurality of intensity measurements are used to determine
the angular intensity spectrum of the transmitted beam. One or more parameters,
such as an attenuation property, a refraction property and a scatter property,
can be obtained from the angular intensity spectrum and used to display an image
of the object.