光学学报, 2016, 36 (11): 1117002, 网络出版: 2016-11-08
基于非负约束L1-范数正则化的乳腺扩散光学层析成像重建方法
Reconstruction Method of Breast Diffuse Optical Tomography Based on Non-Negative-Constraint L1-Norm Regularization
医用光学 乳腺扩散光学层析成像 图像重建 正则化 非负先验信息 medical optics breast diffuse optical tomography image reconstruction regularization non-negative prior information
摘要
在乳腺扩散光学层析成像中,L1-范数正则化的引入大幅改善了重建图像的质量,但目标函数的不可导性使得最优化过程异常困难。提出了一种新的基于非负约束L1-范数正则化的重建方法。非负先验信息的引入使得目标函数的一阶梯度变得简单易求,最优化过程得以简化和加速。数值模拟和仿体实验均表明,相对于传统正则化重建方法,该方法可简单、快速地获得更高质量的重建图像。
Abstract
In breast diffuse optical tomography, the introduction of the L1-norm regularization greatly improves the quality of the reconstructed image. However, the non-differentiable property of the objective function leads to exceeding difficulty in the optimization process. A new reconstruction method based on the L1-norm regularization with the non-negative restriction is proposed. To easily solve the first-order gradient of the objective function, the non-negative prior information is introduced. The optimization process is then well simplified and accelerated. Both the numerical simulations and the phantom experiments demonstrate that this new method can obtain much better results than the conventional regularization methods, and its process is more simple and faster.
王兵元, 陈玮婷, 马文娟, 祁瑾, 张丽敏, 赵会娟, 高峰. 基于非负约束L1-范数正则化的乳腺扩散光学层析成像重建方法[J]. 光学学报, 2016, 36(11): 1117002. Wang Bingyuan, Chen Weiting, Ma Wenjuan, Qi Jin, Zhang Limin, Zhao Huijuan, Gao Feng. Reconstruction Method of Breast Diffuse Optical Tomography Based on Non-Negative-Constraint L1-Norm Regularization[J]. Acta Optica Sinica, 2016, 36(11): 1117002.