An accurate iterative reconstruction algorithm for sparse objects: application to 3D blood vessel reconstruction from a limited number of projections.

Meihua Li; Haiquan Yang; Hiroyuki Kudo

doi:10.1088/0031-9155/47/15/303

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An accurate iterative reconstruction algorithm for sparse objects: application to 3D blood vessel reconstruction from a limited number of projections.

Meihua Li·Haiquan Yang·Hiroyuki Kudo

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Abstract

Based on the duality of nonlinear programming, this paper proposes an accurate row-action type iterative algorithm which is appropriate to reconstruct sparse objects from a limited number of projections. The cost function we use is the Lp norm with p approximately 1.1. This norm allows us to pick up a sparse solution from a set of feasible solutions to the measurement equation. Furthermore, since it is both strictly convex and differentiable, we can use the duality of nonlinear programming to construct a row-action type iterative algorithm to find a solution. We also impose the bound constraint on pixel values to pick up a better solution. We demonstrate that this method works well in three-dimensional blood vessel reconstruction from a limited number of cone beam projections.

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Algorithms Angiography Humans Imaging, Three-Dimensional Phantoms, Imaging Radiographic Image Enhancement Tomography Tomography, X-Ray Computed Comparative Study Evaluation Study Journal Article Research Support, Non-U.S. Gov't

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Meihua Li, Haiquan Yang, Hiroyuki Kudo. 2002-08-07. An accurate iterative reconstruction algorithm for sparse objects: application to 3D blood vessel reconstruction from a limited number of projections.. https://doi.org/10.1088/0031-9155%2F47%2F15%2F303

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