论文信息 - Reconstruction of objects from their projections using generalized inverses

Reconstruction of objects from their projections using generalized inverses

The application of generalized inverses of matrices for reconstruction of objects from their projections is considered. This method helps us to recursively improve the reconstructed estimate using a stream of additional projection data. The tolerance tests on the estimates, as well as practical implementation of this method are also suggested.

S. S. Prabhu | E. V. Krishnamurthy | K. Subramanian | T. Mahadeva Rao

[1] Gabor T. Herman,et al. Algorithms for reproducing objects from their X-rays , 1972, Comput. Graph. Image Process..

[2] E. V. Krishnamurthy,et al. Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses , 1974, IEEE Transactions on Computers.

[3] A. Lent,et al. ART: Mathematics and applications a report on the mathematical foundations and on the applicability to real data of the algebraic reconstruction techniques , 1973 .

[4] Gabor T. Herman,et al. Two direct methods for reconstructingpictures from their projections: A comparative study , 1972, Comput. Graph. Image Process..

[5] Richard Gordon,et al. Reconstruction of pictures from their projections , 1971, CACM.

[6] S. S. Prabhu,et al. Probabilistic reinforcement algorithms for the reconstruction of pictures from their projections , 1973 .