1. A method for correcting an image dataset acquired by a radiation-based image acquisition device, comprising: determining a scatter background dataset as a function of the image dataset; defining a coefficient by an optimization process, the coefficient being dependent on an image acquisition parameter and having a positive derivative; generating a nonlinear and smooth function by the coefficient, the function being dependent on a quotient of the scatter background dataset and the image dataset at a respective pixel and having an absolute value of one for the value zero; and correcting the image dataset pixel by pixel by multiplying the image dataset with an inverse of the function.