1. A method for determining a pixon map for pixon smoothing of an object based on a data set, the method comprising: receiving the data set; receiving an input object associated with the data set; determining, in a series of steps, statistical objects for a set of pixon kernel functions, wherein each step includes selecting a pixon kernel function from the set of pixon kernel functions, smoothing the input object on the basis of the selected pixon kernel function, thereby creating a smoothed object, and determining the statistical object for the selected pixon kernel function on the basis of the smoothed object, the data set, and a Mighell-like statistical weight; determining contributions of the pixon kernel functions to the pixon map based on the statistical objects; and assigning values to the pixon map corresponding to the contributions of the pixon kernel functions.