In this paper, the problem of reconstructing a 3D object by means of an octree-like structure with the help of epipolar geometry within a projective framework is addressed. After a brief introduction to the concept of octrees and the basics of epipolar geometry, the next section introduces the description of a new concept called projective octree. An algorithm for building this projective structure from the images is described. Finally, some results of the implementations are presented in the last section together with the conclusions and future work.