Single-view phase retrieval of an extended sample by exploiting edge detection and sparsity

Area of Science:

• Coherent diffraction imaging
• Computational imaging
• Image reconstruction

Background:

• Coherent diffraction imaging (CDI) is a powerful lensless imaging technique.
• Reconstructing the exit wave of extended samples from diffraction data is challenging.
• Existing methods like ptychography often require multiple measurements.

Purpose of the Study:

• To develop a robust method for retrieving the exit wave of extended samples from a single coherent diffraction pattern.
• To utilize the sparsity of sample edges for improved image reconstruction.
• To enable single-view imaging without the need for ptychography.

Main Methods:

• Proposed a new approach exploiting the sparsity of sample edges.
• Introduced nonlinear optimization methods to promote sparsity.
• Derived update rules for robust exit wave recovery.
• Tested the method on simulated samples with varying edge sparsity.

Main Results:

• Successfully demonstrated the retrieval of the exit wave for extended samples.
• The method's performance was evaluated based on the sparsity of the edge-detected representation.
• Identified the strengths and limitations of the proposed approach.

Conclusions:

• The developed method offers a viable alternative for single-view imaging of extended samples.
• Exploiting edge sparsity is effective for robust exit wave retrieval.
• Further research can refine the method's application and overcome identified limitations.