1. A method for suppressing structural image components from a post-stacked multi-dimensional seismic image containing an original set of pixels to represent structure and noise in the multi-dimensional space, the method comprising the steps of: a. receiving seismic image data at a processor; b. receiving, through an input device, parameters of a multi-dimensional mask characterizing a required performance for noise suppression of the seismic image data in three dimensions; c. applying the multi-dimensional mask to each pixel of the original set of pixels of the seismic image in a first multi-dimensional space using the processor executing a predetermined image processing program, to generate a new set of pixels in a second multidimensional space; d. displaying the first multi-dimensional space on a display device; e. displaying the second multi-dimensional space on the display device; and f. comparing the displays to identify noise in the first multi-dimensional space, thereby facilitating the suppression of structural image components, including the identified noise, from the post-stacked multi-dimensional seismic image.