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Combined Energy Minimization for Image Reconstruction from Few Views

机译：结合能量最小化从很少的角度进行图像重建

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摘要

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. l_2 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.
机译：从很少的角度重建是医学成像和应用数学中的重要问题。本文提出了一种组合能量最小化的图像重建方法。在较低的密度区域引入图像梯度的l_2能量，可以加快重建速度并改善结果。在较高的密度区域中引入了图像的整体变化，可以很好地保留图像特征。为了解决该问题，引入了非线性共轭梯度法。几个数值实验表明了我们方法的效率和准确性。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第10期|154630.1-154630.15|共15页
  • 作者

    Wei Wei; Xiao-Lin Yang; Bin Zhou; Jun Feng; Pei-Yi Shen;

  • 作者单位

    School of Computer Science and Engineering, Xi'an University of Technology, Xi'an 710048, China;

    College of Management Science, Chengdu University of Technology, Chengdu 610059, China;

    College of Science, Xi'an University of Science and Technology, Xi'an 710054, China;

    College of Management Science, Chengdu University of Technology, Chengdu 610059, China;

    National School of Software, Xidian University, Xi'an 710071, China;

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