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Sparse object reconstruction from a limited number of projections using the linear programming

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4 Author(s)
Meihua Li ; Univ. of Tsukuba, Japan ; Kudo, H. ; Jicun Hu ; Johnson, R.

This paper proposes a simple row-action type iterative algorithm which is appropriate to reconstruct sparse objects from a limited number of projections. The main idea is to use the L1 norm to pick up a sparse solution from a set of feasible solutions to the measurement equation. By perturbing the linear program to a quadratic program, we use the duality of the nonlinear programming to construct a row-action type iterative algorithm to find a solution, we also prove that the algorithm converges for any initial image. We show that this method works well in the 3D blood-vessel reconstruction and its computation time is shorter compared to our previous method.

Published in:

Nuclear Science Symposium Conference Record, 2002 IEEE  (Volume:2 )

Date of Conference:

10-16 Nov. 2002