We present a theoretically-exact and stable computed tomography(CT) reconstruction algorithm that is capable of handling interrupted illumination and therefore of using all measured data at arbitrary pitch.This algorithm is based on a differentiated backprojection(DBP) on M-lines.First,we discuss the problem of interrupted illumination and how it affects the DBP.Then we show that it is possible to take advantage of some properties of the DBP to compensate for the effects of interrupted illumination in a mat...