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Mathematical Problems in Engineering
Volume 2012, Article ID 154630, 15 pages
Research Article

Combined Energy Minimization for Image Reconstruction from Few Views

1School of Computer Science and Engineering, Xi’an University of Technology, Xi’an 710048, China
2College of Management Science, Chengdu University of Technology, Chengdu 610059, China
3College of Science, Xi’an University of Science and Technology, Xi’an 710054, China
4National School of Software, Xidian University, Xi’an 710071, China

Received 15 June 2012; Revised 27 August 2012; Accepted 22 September 2012

Academic Editor: Kui Fu Chen

Copyright © 2012 Wei Wei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Reconstruction from few views is an important problem in medical imaging and applied mathematics. In this paper, a combined energy minimization is proposed for image reconstruction. energy of the image gradient is introduced in the lower density region, and it can accelerate the reconstruction speed and improve the results. Total variation of the image is introduced in the higher density region, and the image features can be preserved well. Nonlinear conjugate gradient method is introduced to solve the problem. The efficiency and accuracy of our method are shown in several numerical experiments.