Multi-view optical tomography using L<sub>1</sub> data fidelity and sparsity constraint

Jaeduck Jang; Jong Chul Ye

doi:10.1117/12.762412

12 February 2008 Multi-view optical tomography using L₁ data fidelity and sparsity constraint

Jaeduck Jang; Jong Chul Ye

Author Affiliations +

Proceedings Volume 6861, Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing XV; 68610G (2008) https://doi.org/10.1117/12.762412
Event: SPIE BiOS, 2008, San Jose, California, United States

Abstract

This paper describes a novel reconstruction algorithm for microscopy axial tomography, which reconstructs a 3-D volume using multiple tilted views through an off-centered aperture and numerical processing. The main contribution of this paper is a derivation of novel optimization criterion and algorithm for a cost function with L₁ fidelity term and sparsity constraint. A parallel coordinate descent (PCD) algorithm has been derived as an efficient optimization methods, which corresponds to iterative application of projection and nonlinear back-projection using median. Numerical simulation results using synthetic and real microscopy data show that accurate reconstruction can be obtained rapidly, and interference artifacts from high contrast objects in a volume can be removed efficiently. Our algorithm is quite general, and can be used for many other tomosynthesis applications with limited number of views.

Citation Download Citation

Jaeduck Jang, Jong Chul Ye, "Multi-view optical tomography using L₁ data fidelity and sparsity constraint", Proc. SPIE 6861, Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing XV, 68610G (12 February 2008); doi: 10.1117/12.762412; https://doi.org/10.1117/12.762412

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