1. A method for filtering of tomographic 3D displays of an examination object, comprising: using, by a system for production of tomographic displays, a volume model, which subdivides the volume of the examination object into a large number of three-dimensional image voxels with individual image values, corresponding to a first data record with original image voxels, to display the examination object; and reproducing, using the image value of each voxel, one object-specific characteristic of the examination object in this volume, the reproducing including, calculating, on the basis of the reconstruction of the entire volume for each image voxel, the variances of the image values in an area or radius, determining the direction of the greatest variance ({right arrow over (v)} max ) for each image voxel, in order to identify sudden contrast changes and their spatial orientation with their tangential planes T, determining the direction of least variance ({right arrow over (v)} min ) for each image voxel on the tangential plane T, processing the original image voxels using a 2D filter which is the same over the entire image area, and two different linear filters with selected directions which result from the extremes of the previously calculated variances ({right arrow over (v)} min , {right arrow over (v)} max ), resulting in three data records with differently filtered image voxels (I IF , I ALF,min and I ALF, ⊥ ), and mixing the original image voxels and the filtered image voxels using local weights for the result image.