A method of suppressing clutter in video imagery includes receiving video imagery from a focal plane array, and decomposing the video imagery into independently-moving coordinate transformations corresponding to clutter patterns that are subimages of the video imagery. The method also includes removing the subimages from an image of the video imagery to produce a clutter-suppressed version of the image, and rendering the clutter-suppressed version of the image. Removing the subimages from the image includes generating respective zeroth-order corrections for the subimages, and subtracting the respective zeroth-order corrections from the image. And removing the subimages includes recursively generating respective first-order corrections for the subimages from the respective zeroth-order corrections, and subtracting the respective first-order corrections from the image. The respective zeroth-order corrections are generated and subtracted from the image before the respective first-order corrections are generated and subtracted from the image.