Estimation of search-space in 3D coronary artery reconstruction using angiographic biplane images

3D reconstruction of heart arteries is of great interest, not only for diagnostic purposes, but also at a therapeutic level. 3D reconstruction, based on two radiographic images, is a multiple solution problem. The correct solution can only be obtained with a priori knowledge. Up to now, the number of reconstruction solutions, which depends on the image set, has not been studied. Almost all the reconstruction methodologies proposed up to now, try to avoid searching the total solution space. The present research try to determine the number of solutions (size of the solutions space), based on the generation of all the possible reconstruction solutions. This methodology implies the reconstruction of all the possible 3D segments and a selection of subsets that represents possible solutions. A first implementation validated using real data is discussed.