can't resist an academic debate... Motion uncertainties (should) fall into the area of ITV creation. Ideally the ITV "covers" the true fact that (target or OAR) motion is never evenly distributed in 3 dimensions, or even 1D. ITVs can be "liberally" or "conservatively" created. E.g., one might choose gating and say the 40-60% phase is where I'm going to treat (smaller ITV)... or use gating to create a free breathing 0-100% phase ITV (bigger ITV)... or, like me, take multiple slow CTs and fuse them and create an ITV based on wherever the target is across multiple scans in time and space (even bigger ITV). HOWEVER... once an ITV has been created, one then is an area of where 1D uncertainties have appeared to be evenly distributed. And because 1D uncertainties are evenly distributed,
3D uncertainties are not evenly distributed as @wanderingstar once smartly pointed out. That 1D uncertainties have consistently appeared normally distributed allows for mathematical exercises where PTV "
margin recipe equations" can be made. Or, in a more empiric approach that I favor (and no one does), just measure the non-normal distributed "drift shift" scalar (sometimes
inappropriately called "vector") across many, many patients and make a PTV expansion which covers >95% of the scalars (ie covers >
95% of the 3 DoF chi square distributions of the scalars)... this expansion does have to be isotropic when calculated this simply (easily).