| 基于多目标优化的有限角度图像重建算法及实现 |
| 作者：李飞 潘晋孝 |
| 单位：中北大学理学院数学系 |
| 关键词：多目标优化 图像重建 同伦参数 |
| 分类号：O242.1；TG115.28 |
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| 出版年·卷·期（页码）：2010·第19卷·第一期（1-8） |
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摘要：
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| 本文综合考虑了图像局部和整体的平滑性，以及最大熵准则，重新建立新的多目标优化模型，并在求解过程中引入同伦参数加快收敛速度。通过仿真实验，验证了所提算法能较好地改善有限角度下图像重建的质量及提高重建速度。 |
| Single objective optimization algorithm is one of the methods for limited angle reconstruction, but it can not make out the exact solution because of the only objective function. So we built the multi-objective optimization model by considering the local flatness, global smoothness and the maximum entropy rule. Finally, simulations were carried out to verify the proposed method, and the simulation results showed that this algorithm can improve the image quality and the speed of reconstruction of limited angle. |
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参考文献：
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[1] Tuy H. An inversion formula for cone-beam reconstruction[J]. SIAM J Appl Math, 1983, 43(3): 546-552.
[2] Simth BD. Image reconstruction from cone-beam projections: Necessary and sufficient |
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