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中国物理学会期刊

引导滤波增强的ADM相干衍射成像

Guided-filtering-enhanced ADM coherent diffraction imaging

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  • 本文提出一种引导滤波增强的交替方向法(ADM)相干衍射成像方法。该方法将引导滤波作为结构保持型先验嵌入交替方向法迭代框架,在测量约束与物体域支撑约束之间引入结构保持机制,以提高相位恢复过程中的噪声抑制和伪影控制能力。针对具有明显吸收边界或较强振幅结构的样品,进一步利用振幅结构信息辅助相位更新,并采用分段递减的滤波强度调度策略,使算法在迭代前期侧重噪声抑制、后期侧重细节恢复,从而实现去噪能力与结构保真度之间的有效平衡。近场和远场相干衍射成像实验结果表明,所提方法能够有效抑制噪声传播与伪影累积,改善局部结构可辨识度、提高线对对比度和结构保真度,并在不同成像条件下均表现出良好的稳定性和适用性。

     

    Coherent diffraction imaging (CDI) reconstructs the complex-valued object of a sample from measured diffraction intensities, but its phase retrieval performance is often affected by measurement noise and insufficient prior constraints. To address these problems, a guided-filter-enhanced alternating direction method (GFADM) is proposed. In this method, guided filtering is embedded into the ADM iterative framework as a structure-preserving prior, and a filtering step is introduced between the measurement projection and the object-domain support projection to improve noise suppression and artifact control. For samples with distinct absorption boundaries or pronounced amplitude structures, the amplitude estimate is first processed by self-guided filtering, and the filtered amplitude is then used as a guidance image to assist phase updating. This strategy helps improve the structural consistency between the reconstructed amplitude and phase. In addition, a piecewise decreasing filtering-strength schedule is adopted to balance denoising and detail preservation: stronger filtering is applied in the early iterations to suppress noise propagation and stabilize the reconstruction, whereas weaker filtering is used in the later iterations to retain fine structural details. Near-field and far-field CDI experiments demonstrate that the proposed method can effectively suppress noise propagation and artifact accumulation, reduce background fluctuations, and improve the distinguishability of local structures. Compared with the enhanced ADM (EADM), GFADM produces clearer line-pair features, higher line-pair contrast, and better structural fidelity. These results indicate that the proposed method achieves a good balance between noise suppression and detail preservation, and exhibits stable reconstruction performance under different imaging conditions.

     

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