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Rev. Sci. Instrum. 82, 093504 (2011); http://dx.doi.org/10.1063/1.3638463 (7 pages)

A new nonlinear reconstruction method based on total variation regularization of neutron penumbral imaging

Weixin Qian, Shuangxi Qi, Wanli Wang, Jinming Cheng, and Dongbing Liu

Institute of Fluid Physics, CAEP, P.O. Box 919-109, Mianyang 621900,0 China

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(Received 21 February 2011; accepted 22 August 2011; published online 20 September 2011)

Neutron penumbral imaging is a significant diagnostic technique in laser-driven inertial confinement fusion experiment. It is very important to develop a new reconstruction method to improve the resolution of neutron penumbral imaging. A new nonlinear reconstruction method based on total variation (TV) regularization is proposed in this paper. A TV-norm is used as regularized term to construct a smoothing functional for penumbral image reconstruction in the new method, in this way, the problem of penumbral image reconstruction is transformed to the problem of a functional minimization. In addition, a fixed point iteration scheme is introduced to solve the problem of functional minimization. The numerical experimental results show that, compared to linear reconstruction method based on Wiener filter, the TV regularized nonlinear reconstruction method is beneficial to improve the quality of reconstructed image with better performance of noise smoothing and edge preserving. Meanwhile, it can also obtain the spatial resolution with 5 μm which is higher than the Wiener method.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. THE BASIC PRINCIPLE OF NEUTRON PENUMBRAL IMAGING
  3. THE PRINCIPLE OF IMAGE RECONSTRUCTION IN PENUMBRAL IMAGING
  4. A NEW NONLINEAR RECONSTRUCTION METHOD BASED ON TOTAL VARIATION REGULARIZATION IN PENUMBRAL IMAGING
  5. EXPERIMENTAL RESULTS OF SIMULATED IMAGES
    1. The reconstruction results of “E” shape neutron source
    2. The reconstruction results of two point neutron source
  6. CONCLUSION AND DISCUSSION

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KEYWORDS and PACS

PACS

  • 52.70.-m

    Plasma diagnostic techniques and instrumentation

  • 52.57.-z

    Laser inertial confinement

ARTICLE DATA

PUBLICATION DATA

ISSN

0034-6748 (print)  
1089-7623 (online)

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