1. A method for filtering tomographic 3D images of an examination object, the examination object being imaged by using a volume model that divides the volume of the examination object into a multiplicity of three-dimensional image voxels with individual image values, and the image value of each voxel reproducing an object-specific property of the examination object in this volume, the method comprising: calculating, after the reconstruction of the total volume, variances for each image voxel in a prescribed region or radius to determine contrast jumps and their spatial orientation with their tangential planes; filtering the image values in the tangential plane with a two-dimensional convolution, and mixing the original voxel data in weighted fashion with the filtered voxel data.