This task smooths FITS images by a weighted cyclic convolution. The convolution procedure itself is described in section 3.1. There are many ways in which the user can specify the convolver (see section 3.3). The user can also supply an exposure map (section 3.5), a weight image (section 3.4) and/or an output mask image (also section 3.4). An image of the variance (square of the standard deviation) of the input image may also be supplied, and an image of the variance of the smoothed image obtained (section 3.2).