Recovery of two transparent primitive images from two frames

The problem of recovering two primitive images from their transparent combination is explored. Given an image sequence, the case where each primitive image undergoes a dissimilar and invertible motion over time is considered. The authors show that discrete samples of the primitive images can be recovered from the observation of two consecutive image frames. In this context, consideration is given to the density of the recovered sample set and the requirements for proper reconstruction. On the whole, transparency separation and recovery is an ill-posed inverse problem in the sense that its solution is not unique. Recovery, however, can be successfully performed by finding the smoothest solution consistent with the data. Illustrative examples show that the proposed method provides good estimates of the primitive images.