Research And Application About2D And3D Lattice Sets Reconstruction Algorithm From Projections

Discrete tomography is an important branch of Computerized tomography. DTfocuses on the problem of finite subsets of the integer lattice from a small number oftheir projections.Studied and analyzed the current development of DT, imaging principle of CTand the theoretical basis of word combinations. Moreover, applying the EDT physicsmodel, it is considered that two projections along the left and right horizontaldirections uniquely determine a discrete lattice set when the absorbed coefficient isgolden ratio. Meanwhile, we expand the basic algorithm for reconstruction of discretesets based on horizontal projections in presence of absorption from one-dimensionalsequences to two-dimensional sequences. On the other hand, for the weakness ofcomputational complexity of projection difference, an improved algorithm isproposed to reconstruct lattice sets along the diagonal projections based ondetermining conditions of sequence consistency. Furthermore, comparing with theexisted algorithm, it speeds up the search for a solution.At last, the existence, uniqueness and reconstruction of3D lattice sets isconsidered. The2D efficient algorithm is expanded to3D. Thereby it is applied toimage reconstruction. Compared with the basic algorithm, for large lattice sets of3Dreconstruction, it has obvious advantages.