Provided are tomographic image processing apparatus and method. The tomographic image processing apparatus includes: a processor configured to generate a plurality of preview images by applying a plurality of filters to second raw data corresponding to a selected cross-section of an object and reconstruct a tomographic image by applying one of the plurality of filters, which is used to generate a preview image selected from among the plurality of preview images, to first raw data corresponding to a region of the object including the selected cross-section; and a display configured to display the reconstructed tomographic image.