Radiotherapy controlling, treatment sinograms may be directly modified to correct for real time motion of patients or portions of patients resulting from physiological or other activity. Precalculated partial sinograms representing treatments of portions of a patient may be assembled to obtain a treatment sinogram for the entire patient without delay from conventional planning software. The partial sinograms are modified as representations of their corresponding portions and manipulated to conform to the particular dimensions of an actual patient. This constructed sinogram may be used directly or as a starting point for iterative optimization.
