Method for three-dimensional representation of arteries and/or veins in an object by a tomography x-ray device is proposed. A mask pass with N projections at N angular positions without contrast agent is implemented. A first filler pass with M projections at M angular positions after injecting a contrast agent, where M<;N is implemented, followed by a second filler pass with N−M projections at N−M angular positions. A composite three-dimensional volume data record is reconstructed from an intermediate data record determined from the mask pass, the first and the second filler pass. A reprojection for arteries and/or for veins is calculated by reprojection of the first filler pass and/or of the second filler pass from the composite three-dimensional volume data record. A three-dimensional volume data record for arteries and/or for veins is calculated by weighting the composite three-dimensional volume data record taking into account the respective measured and calculated projection images.