An Interferometer for x-rays, for obtaining quantitative x-ray images from an object, comprising: a) a polychromatic x-ray source, b) a diffractive beam splitter grating other than a Bragg crystal, in transmission geometry, c) a position-sensitive detector with spatially modulated detection sensitivity having a number of individual pixels; d) means (μC) for recording the images of the detector in a phase-stepping approach; and e) means (μC) for evaluating the intensities for each pixel in a series of images in order to identify the characteristic of the object for each individual pixel as an absorption dominated pixel and a differential phase contrast dominated pixel and a x-ray scattering dominated pixel, characterised in that means (Im) for preparing display data for displaying the evaluated images of the object are comprised, and wherein an encoding approach is used for the differentiation of the individual contribution to each individual pixel, wherein: i) a value of the differential absorption signal dA(m,n)/dx or the absorption signal dA(m,n) or the absolute value of any of the previous two is assigned to a first codification; ii) a value of the differential phase contrast signal dΦ(m,n)/dx or the integrated phase signal Φ(m,n) or the absolute value of any of the previous two is assigned to a second codification; iii) a value of the differential scattering signal dS(m,n)/dx or the scattering signal S(m,n) or the absolute value of any of the previous two is assigned to a third codification. a) a polychromatic x-ray source, b) a diffractive beam splitter grating other than a Bragg crystal, in transmission geometry, c) a position-sensitive detector with spatially modulated detection sensitivity having a number of individual pixels; d) means (μC) for recording the images of the detector in a phase-stepping approach; and e) means (μC) for evaluating the intensities for each pixel in a series of images in order to identify the characteristic of the object for each individual pixel as an absorption dominated pixel and a differential phase contrast dominated pixel and a x-ray scattering dominated pixel, characterised in that means (Im) for preparing display data for displaying the evaluated images of the object are comprised, and wherein an encoding approach is used for the differentiation of the individual contribution to each individual pixel, wherein: i) a value of the differential absorption signal dA(m,n)/dx or the absorption signal dA(m,n) or the absolute value of any of the previous two is assigned to a first codification; ii) a value of the differential phase contrast signal dΦ(m,n)/dx or the integrated phase signal Φ(m,n) or the absolute value of any of the previous two is assigned to a second codification; iii) a value of the differential scattering signal dS(m,n)/dx or the scattering signal S(m,n) or the absolute value of any of the previous two is assigned to a third codification. i) a value of the differential absorption signal dA(m,n)/dx or the absorption signal dA(m,n) or the absolute value of any of the previous two is assigned to a first codification; ii) a value of the differential phase contrast signal dΦ(m,n)/dx or the integrated phase signal Φ(m,n) or the absolute value of any of the previous two is assigned to a second codification; iii) a value of the differential scattering signal dS(m,n)/dx or the scattering signal S(m,n) or the absolute value of any of the previous two is assigned to a third codification.